Multi-baseline Searches for Stochastic Sources and Black Hole Ringdown Signals in LIGO-VIRGO Data

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ISBN 13 : 9781267673268
Total Pages : pages
Book Rating : 4.6/5 (732 download)

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Book Synopsis Multi-baseline Searches for Stochastic Sources and Black Hole Ringdown Signals in LIGO-VIRGO Data by : Dipongkar Talukder (dd)

Download or read book Multi-baseline Searches for Stochastic Sources and Black Hole Ringdown Signals in LIGO-VIRGO Data written by Dipongkar Talukder (dd) and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We also present a template-based multi-detector coherent search for perturbed black hole ringdown signals. Like the past ``coincidence'' ringdown searches in LIGO data, our method incorporates knowledge of the ringdown waveform in constructing the search templates. Additionally, it checks for consistency of signal amplitudes and phases in the different detectors with their different orientations and signal arrival times. We demonstrate the advantages of implementing a coherent search in the ringdown search pipeline.

Searching for Long Transient Gravitational Waves in the LIGO-Virgo Data

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (892 download)

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Book Synopsis Searching for Long Transient Gravitational Waves in the LIGO-Virgo Data by : Samuel Franco

Download or read book Searching for Long Transient Gravitational Waves in the LIGO-Virgo Data written by Samuel Franco and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents the results of the STAMPAS all-sky search for long transient gravitational waves in the 2005-2007 LIGO-Virgo data. Gravitational waves are perturbations of the space-time metric. The Virgo and LIGO experiments are designed to detect such waves. They are Michelson interferometers with 3 km and 4 km long arms, whose light output is altered during the passage of a gravitational wave.Until very recently, transient gravitational wave search pipelines were focused on short transients, lasting less than 1 second, and on binary coalescence signals. STAMPAS is one of the very first pipelines entirely dedicated to the search of long transient gravitational wave signals, lasting from 1s to O(100s).These signals originate, among other sources, from instabilities in protoneutron stars as a result of their violent birth. The standing accretion shock instability in core collapse supernovae or instabilities in accretion disks are also possible mechanisms for gravitational wave long transients. Eccentric black hole binary coalescences are also expected to emit powerful gravitational waves for several seconds before the final plunge.STAMPAS is based on the correlation of data from two interferometers. Time-frequency maps of the data are extracted, and significant pixels are clustered to form triggers. No assumption on the direction, the time or the form of the signals is made.The first STAMPAS search has been performed on the data from the two LIGO detectors, between 2005 and 2007. After a rigorous trigger selection, the analysis revealed that their rate is close to Gaussian noise expectation, which is a significant achievement. No gravitational wave candidate has been detected, and upper limits on the astrophysical rates of several models of accretion disk instability sources and eccentric black holes binary coalescences have been set. The STAMPAS pipeline demonstrated its capabilities to search for any long transient gravitational wave signals during the advanced detector era.Keywords: Gravitational waves, Interferometry, Long transients, Signal Processing, Accretion Disk Instabilities, Eccentric Black Hole Binaries.

The Binary Black Holes of LIGO and Virgo

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.4/5 (711 download)

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Book Synopsis The Binary Black Holes of LIGO and Virgo by : Javier Roulet

Download or read book The Binary Black Holes of LIGO and Virgo written by Javier Roulet and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last six years, the LIGO and Virgo gravitational wave detectors have revolutionized gravitational wave astronomy by discovering the first compact binary mergers. There is much to learn about how these systems form in nature, and these discoveries have allowed to start characterizing the astrophysical population of binary black holes. Many layers of data processing are needed in the path from raw gravitational wave data to inference of astrophysical implications. In this thesis, I worked on algorithms to search for signals from compact binary mergers, estimating their parameters and analyzing them collectively to infer properties of the astrophysical population, aimed at key questions in gravitational wave astronomy: What is the rate of binary mergers in the Universe? What is the distribution of masses and spins? What is the formation mechanism of merging binary black holes?I construct a bank of waveform templates suitable for searching compact binary mergers in gravitational wave data through matched-filtering. The resulting bank is defined on a geometric space, whose notion of distance between waveforms naturally corresponds to their response mismatch. Beyond aiding intuition, this feature enables optimal placement of templates, dynamical refinement of the search, and powerful and robust signal quality tests. Using this template bank, my collaborators and I carried out a search for binary black holes in public LIGO-Virgo data, confirming previous detections and identifying nine new events.I compute the likelihood function for the parameters of the individual sources, such as black hole masses and spins. I derive a framework to combine these pieces of information into a likelihood for the collective distribution of these parameters, that accounts for measurement uncertainties, selection effects and statistical significance of the events. With this, I test and constrain phenomenological models for the distribution of binary black hole masses, spins, merger rates and cosmological evolution. I find that the mass distribution features a steep drop around 40 solar masses, as predicted by the pair-instability supernova mechanism; but also features an extended tail to higher masses. The distribution of spin orientations is anisotropic, disfavoring dynamical formation channels as the only pathway for merging binary black holes.

A Search for Gravitational Waves from Perturbed Black Hole Ringdowns in LIGO Data

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Publisher :
ISBN 13 :
Total Pages : 388 pages
Book Rating : 4.:/5 (741 download)

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Book Synopsis A Search for Gravitational Waves from Perturbed Black Hole Ringdowns in LIGO Data by : Lisa Maria Goggin

Download or read book A Search for Gravitational Waves from Perturbed Black Hole Ringdowns in LIGO Data written by Lisa Maria Goggin and published by . This book was released on 2008 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distinguishing Signal from Noise

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ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (875 download)

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Book Synopsis Distinguishing Signal from Noise by : Paul Thomas Baker

Download or read book Distinguishing Signal from Noise written by Paul Thomas Baker and published by . This book was released on 2013 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal problem of gravitational wave detection is distinguishing true gravitational wave signals from non-Gaussian noise artifacts. We describe two methods to deal with the problem of non-Gaussian noise in the Laser Interferometer Gravitational Observatory (LIGO). Perturbed black holes (BH) are known to vibrate at determinable quasi-normal mode frequencies. These vibrational modes are strongly excited during the inspiral and merger of binary BH systems. We will develop a template based search for gravitational waves from black hole ringdowns: the final stage of binary merger. Past searches for gravitational waves developed ad hoc detection statistics in an attempt to separate the expected gravitational wave signals from noise. We show how using the output of a multi-variate statistical classifier trained to directly probe the high dimensional parameter space of gravitational waves can improve a search over more traditional means. We conclude by placing preliminary upper limits on the rate of ringdown producing binary BH mergers. LIGO data contains frequent, non-Gaussian, instrument artifacts or glitches. Current LIGO searches for un-modeled gravitational wave bursts are primarily limited by the presence of glitches in analyzed data. We describe the BayesWave algorithm, wherein we model gravitational wave signals and detector glitches simultaneously in the wavelet domain. Using bayesian model selection techniques and a reversible jump Markov chain Monte Carlo, we are able determine whether data is consistent with the presence of gravitational waves, detector glitches, or both. We demonstrate BayesWave's utility as a data quality tool by fitting glitches non-Gaussian LIGO data. Finally, we discuss how BayesWave can be extended into a full-fledged search for gravitational wave bursts.

Searches for Gravitational Waves from Binary Black Hole Coalescences with Ground-based Laser Interferometer Across a Wide Parameter Space

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Publisher :
ISBN 13 :
Total Pages : 271 pages
Book Rating : 4.:/5 (833 download)

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Book Synopsis Searches for Gravitational Waves from Binary Black Hole Coalescences with Ground-based Laser Interferometer Across a Wide Parameter Space by : Satyanarayan Ray Pitambar Mohapatra

Download or read book Searches for Gravitational Waves from Binary Black Hole Coalescences with Ground-based Laser Interferometer Across a Wide Parameter Space written by Satyanarayan Ray Pitambar Mohapatra and published by . This book was released on 2012 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an exciting time for Gravitational Wave (GW) theory and observations. From a theoretical standpoint, the grand-challenge problem of the full evolution of a Binary Black Hole (BBH) system has been solved numerically, and a variety of source simulations are made available steadfastly. On the observational side, the first generation of state-of-the-art GW detectors, LIGO and Virgo, have achieved their design goal, collected data and provided astrophysically meaningful limits. The second generation of detectors are expected to start running by 2015. Inspired by this zeitgeist, this thesis focuses on the detection of potential GW signatures from the coalescence of BBH in ground-based laser interferometers. The LIGO Scientific Collaboration has implemented different algorithms to search for transient GW signatures, targeting different portions of the BBH coalescence waveform. This thesis has used the existing algorithms to study the detection potential of GW from colliding BBH in LIGO in a wide range of source parameters, such as mass and spin of the black holes, using a sample of data from the last two months of the S5 LIGO science run (14 Aug 2007 to 30 Sept 2007). This thesis also uses numerical relativity waveforms made available via the Numerical INJection Analysis project (NINJA). Methods such as the Chirplet based analysis and the use of multivariate classifiers to optimize burst search algorithms have been introduced in this thesis. These performance studies over a wide parameter space were designed to optimize the discovery potential of ground-based GW detectors and defining strategies for the search of BBH signatures in advanced LIGO data, as a step towards the realization of GW astronomy.

The Search for Gravitational Waves from the Coalescence of Black Hole Binary Systems in Data from the LIGO and Virgo Detectors. Or

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (883 download)

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Book Synopsis The Search for Gravitational Waves from the Coalescence of Black Hole Binary Systems in Data from the LIGO and Virgo Detectors. Or by : Kari Alison Hodge

Download or read book The Search for Gravitational Waves from the Coalescence of Black Hole Binary Systems in Data from the LIGO and Virgo Detectors. Or written by Kari Alison Hodge and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Search for Unmodeled Gravitational-wave Transients in the Advanced LIGO-Virgo Era

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ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.:/5 (126 download)

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Book Synopsis The Search for Unmodeled Gravitational-wave Transients in the Advanced LIGO-Virgo Era by : Ryan Christopher Lynch

Download or read book The Search for Unmodeled Gravitational-wave Transients in the Advanced LIGO-Virgo Era written by Ryan Christopher Lynch and published by . This book was released on 2018 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Between 2015 and 2017, the era of gravitational-wave (GW) astronomy began in a spectacular fashion. The Advanced-era GW detectors directly observed GW transients from two types of compact-binary sources: binary black holes (e.g., GW150914) and binary neutron stars (e.g., GW170817). Compact-binary sources are well-studied theoretically with well-understood strain waverforms, and thus their detections with Advanced LIGO-Virgo has led to an enormous number of physical insights. Nevertheless, we expect transient GW sources with waveforms that are not fully modeled or are too quiet to be fully resolved may contain an abundant wealth of physical richness in their own right. This thesis explores how to confidently establish poorly-modeled and poorly-resolved, i.e., "unmodeled", GW transients as detections. We first develop a search algorithm that can be used to detect short-duration GW transients of general signal morphology. This algorithm was one of two independent algorithms to first detect the first GW detection, GW150914, in low-latency. After establishing how GW transients of arbitrary morphology can be detected, we turn our attention to the detection of quiet GW signals that are not fully resolvable. We first explore the prospect of using multi-messenger astronomy to elevate low-significance GW candidates to the status of confident detections. Then, we develop a statistical consistency test that can be used to detect populations of poorly-resolved GW candidates. We apply the new search algorithm and new statistical consistency test to data obtained in the first and second observing runs of the Advanced Detector Era. We show that standard compact-binary sources, such as GW150914, can be detected confidently using these methods. Although no non-compact-binary GW transients are detected, we use these new tools to set the strictest upper limits to date on the rate-density of non-compact-binary GW transients. Finally, we turn our attention to how future improvements to the Advanced Detectors, such as squeezed-light injection, will impact the science done with GW transients.

Fundamentals Of Interferometric Gravitational Wave Detectors (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9813146206
Total Pages : 336 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Fundamentals Of Interferometric Gravitational Wave Detectors (Second Edition) by : Peter R Saulson

Download or read book Fundamentals Of Interferometric Gravitational Wave Detectors (Second Edition) written by Peter R Saulson and published by World Scientific. This book was released on 2017-02-16 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The content of the Saulson’s book remains valid and offers a versatile introduction to gravitational wave astronomy. The book is appropriate for undergraduate students and can be read by graduate students and researchers who want to be involved in either the theoretical or the experimental traits of the study of gravitational waves.'Contemporary PhysicsLIGO's recent discovery of gravitational waves was headline news around the world. Many people will want to understand more about what a gravitational wave is, how LIGO works, and how LIGO functions as a detector of gravitational waves.This book aims to communicate the basic logic of interferometric gravitational wave detectors to students who are new to the field. It assumes that the reader has a basic knowledge of physics, but no special familiarity with gravitational waves, with general relativity, or with the special techniques of experimental physics. All of the necessary ideas are developed in the book.The first edition was published in 1994. Since the book is aimed at explaining the physical ideas behind the design of LIGO, it stands the test of time. For the second edition, an Epilogue has been added; it brings the treatment of technical details up to date, and provides references that would allow a student to become proficient with today's designs.

Gravitational Waves

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Publisher : Oxford University Press
ISBN 13 : 0198570740
Total Pages : 573 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Gravitational Waves by : Michele Maggiore

Download or read book Gravitational Waves written by Michele Maggiore and published by Oxford University Press. This book was released on 2008 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two volumes of 'Gravitational Waves' provide a comprehensive and detailed account of the physics of gravitational waves. Volume 2 discusses what can be learned from gravitational waves in astrophysics and in cosmology, by systematising a large body of theoretical developments that have taken place over the last decades.

Extracting Physics from Gravitational Waves

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Publisher : Springer
ISBN 13 : 3319192736
Total Pages : 243 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Extracting Physics from Gravitational Waves by : Tjonnie G. F. Li

Download or read book Extracting Physics from Gravitational Waves written by Tjonnie G. F. Li and published by Springer. This book was released on 2015-07-03 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tjonnie Li's thesis covers two applications of Gravitational Wave astronomy: tests of General Relativity in the strong-field regime and cosmological measurements. The first part of the thesis focuses on the so-called TIGER, i.e. Test Infrastructure for General Relativity, an innovative Bayesian framework for performing hypothesis tests of modified gravity using ground-based GW data. After developing the framework, Li simulates a variety of General Relativity deviations and demonstrates the ability of the aforementioned TIGER to measure them. The advantages of the method are nicely shown and compared to other, less generic methods. Given the extraordinary implications that would result from any measured deviation from General Relativity, it is extremely important that a rigorous statistical approach for supporting these results would be in place before the first Gravitational Wave detections begin. In developing TIGER, Tjonnie Li shows a large amount of creativity and originality, and his contribution is an important step in the direction of a possible discovery of a deviation (if any) from General Relativity. In another section, Li's thesis deals with cosmology, describing an exploratory study where the possibility of cosmological parameters measurement through gravitational wave compact binary coalescence signals associated with electromagnetic counterparts is evaluated. In particular, the study explores the capabilities of the future Einstein Telescope observatory. Although of very long term-only applicability, this is again a thorough investigation, nicely put in the context of the current and the future observational cosmology.

Advanced Interferometric Gravitational-wave Detectors (In 2 Volumes)

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Publisher : World Scientific
ISBN 13 : 9813146095
Total Pages : 808 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Advanced Interferometric Gravitational-wave Detectors (In 2 Volumes) by : Grote Hartmut

Download or read book Advanced Interferometric Gravitational-wave Detectors (In 2 Volumes) written by Grote Hartmut and published by World Scientific. This book was released on 2019-03-25 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: The detection of gravitational waves in 2015 has been hailed a scientific breakthrough and one of the most significant scientific discoveries of the 21st century. Gravitational-wave physics and astronomy are emerging as a new frontier in understanding the universe.Advanced Interferometric Gravitational-Wave Detectors brings together many of the world's top experts to deliver an authoritative and in-depth treatment on current and future detectors. Volume I is devoted to the essentials of gravitational-wave detectors, presenting the physical principles behind large-scale precision interferometry, the physics of the underlying noise sources that limit interferometer sensitivity, and an explanation of the key enabling technologies that are used in the detectors. Volume II provides an in-depth look at the Advanced LIGO and Advanced Virgo interferometers, as well as examining future interferometric detector concepts. This two-volume set will provide students and researchers the comprehensive background needed to understand gravitational-wave detectors.

Superradiance

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Publisher : Springer Nature
ISBN 13 : 3030466221
Total Pages : 293 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Superradiance by : Richard Brito

Download or read book Superradiance written by Richard Brito and published by Springer Nature. This book was released on 2020-08-21 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on one mechanism in black hole physics which has proven to be universal, multifaceted and with a rich phenomenology: rotational superradiance. This is an energy extraction process, whereby black holes can deposit their rotational energy in their surroundings, leading to Penrose processes, black-hole bombs, and even Hawking radiation. Black holes are key players in star formation mechanisms and as engines to some of the most violent events in our universe. Their simplicity and compactness make them perfect laboratories, ideally suited to probe new fields or modifications to the theory of gravity. Thus, black holes can also be used to probe some of the most important open problems in physics, including the nature of dark matter or the strong CP problem in particle physics. This monograph is directed to researchers and graduate students and provides a unified view of the subject, covering the theoretical machinery, experimental efforts in the laboratory, and astrophysics searches. It is focused on recent developments and works out a number of novel examples and applications, ranging from fundamental physics to astrophysics. Non-specialists with a scientific background should also find this text a valuable resource for understanding the critical issues of contemporary research in black-hole physics. This second edition stresses the role of ergoregions in superradiance, and completes its catalogue of energy-extraction processes. It presents a unified description of instabilities of spinning black holes in the presence of massive fields. Finally, it covers the first experimental observation of superradiance, and reviews the state-of-the-art in the searches for new light fields in the universe using superradiance as a mechanism.

Pathways to Discovery in Astronomy and Astrophysics for the 2020s

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Publisher :
ISBN 13 : 9780309467346
Total Pages : 615 pages
Book Rating : 4.4/5 (673 download)

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Book Synopsis Pathways to Discovery in Astronomy and Astrophysics for the 2020s by : National Academies of Sciences, Engineering, and Medicine

Download or read book Pathways to Discovery in Astronomy and Astrophysics for the 2020s written by National Academies of Sciences, Engineering, and Medicine and published by . This book was released on 2022-08-04 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The steering committee was specifically asked to (1) provide an overview of the current state of astronomy and astrophysics science, and technology research in support of that science, with connections to other scientific areas where appropriate; (2) identify the most compelling science challenges and frontiers in astronomy and astrophysics, which shall motivate the committee’s strategy for the future; (3) develop a comprehensive research strategy to advance the frontiers of astronomy and astrophysics for the period 2022-2032 that will include identifying, recommending, and ranking the highest-priority research activities; (4) utilize and recommend decision rules, where appropriate, that can accommodate significant but reasonable deviations in the projected budget or changes in urgency precipitated by new discoveries or unanticipated competitive activities; (5) assess the state of the profession, including workforce and demographic issues in the field, identify areas of concern and importance to the community, and where possible, provide specific, actionable, and practical recommendations to the agencies and community to address these areas. This report proposes a broad, integrated plan for space- and ground-based astronomy and astrophysics for the decade 2023-2032. It also lays the foundations for further advances in the following decade.

100 Years of Relativity

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Publisher : World Scientific
ISBN 13 : 9812700986
Total Pages : 527 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis 100 Years of Relativity by : Abhay Ashtekar

Download or read book 100 Years of Relativity written by Abhay Ashtekar and published by World Scientific. This book was released on 2005 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thanks to Einstein''s relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).

Black Holes: A Laboratory for Testing Strong Gravity

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Publisher : Springer
ISBN 13 : 9811045240
Total Pages : 340 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Black Holes: A Laboratory for Testing Strong Gravity by : Cosimo Bambi

Download or read book Black Holes: A Laboratory for Testing Strong Gravity written by Cosimo Bambi and published by Springer. This book was released on 2017-06-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces the current astrophysical observations of black holes, and discusses the leading techniques to study the strong gravity region around these objects with electromagnetic radiation. More importantly, it provides the basic tools for writing an astrophysical code and testing the Kerr paradigm. Astrophysical black holes are an ideal laboratory for testing strong gravity. According to general relativity, the spacetime geometry around these objects should be well described by the Kerr solution. The electromagnetic radiation emitted by the gas in the inner part of the accretion disk can probe the metric of the strong gravity region and test the Kerr black hole hypothesis. With exercises and examples in each chapter, as well as calculations and analytical details in the appendix, the book is especially useful to the beginners or graduate students who are familiar with general relativity while they do not have any background in astronomy or astrophysics.“/p>

General Relativity and Gravitational Waves

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Publisher : Springer Nature
ISBN 13 : 3030923355
Total Pages : 214 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis General Relativity and Gravitational Waves by : Sanjeev Dhurandhar

Download or read book General Relativity and Gravitational Waves written by Sanjeev Dhurandhar and published by Springer Nature. This book was released on 2022-02-16 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a textbook for senior undergraduate students who are learning the subject of general relativity and gravitational waves for the first time. Both authors have been teaching the course in various forms for a few decades and have designed the book as a one stop book at basic level including derivations and exercises. A spectacular prediction of general relativity is gravitational waves. Gravitational waves were first detected by the LIGO detectors in 2015, hundred years after their prediction. Both authors are part of the LIGO Science Collaboration and were authors on the discovery paper. Therefore, a strong motivation for this book is to provide the essential concepts of general relativity theory and gravitational waves with their modern applications to students and to researchers who are new to the multi-disciplinary field of gravitational wave astronomy. One of the advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and algebraic tools that are used in general relativity.