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Download or read book Numerical Studies of Constraints and Gravitational Wave Extraction in General Relativity written by and published by . This book was released on 2004 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Miguel Alcubierre
Publisher : OUP Oxford
ISBN 13 : 0191548294
Total Pages : 464 pages
Book Rating : 4.1/5 (915 download)
Download or read book Introduction to 3+1 Numerical Relativity written by Miguel Alcubierre and published by OUP Oxford. This book was released on 2008-04-10 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.
Author : Andreas Karl Bechinger
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (133 download)
Download or read book Gravitational Wave Extraction in Numerical Relativity written by Andreas Karl Bechinger and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complexity of the Einstein Equations, which is due to their nonlinearity, makes a general analytical solution impossible. In order to extend the frontiers of our knowledge, physicists are especially interested in extreme scenarios. The strongest and thus most interesting source for the study of gravitational waves, a prediction of general relativity, is the merger of two black holes. To understand the generation and evolution of gravitational waves in such a case, extensive efforts have been made. One is the construction of highly sensitive detectors, which are likely to find gravitational wave signals. The other is extensive theoretical and computational efforts developing numerical treatments that simulate merging black holes. A substantial advance in research arose from the remarkable expansion of computing power in recent years. Yet, every attempt remains restricted by the specific requirements of a numerical setup. Based on the 3+1 formulation of Einstein’s equations presented by Arnowitt, Deser and Misner (ADM formalism), this thesis will provide a comprehensive discussion of suitable quantities, the Weyl scalars [psi subscript n], for the analysis of gravitational waves in numerical relativity, their features and their theoretical background. This presentation will be illustrated by a numerical simulation
Author : Enrique Pazos
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (664 download)
Download or read book Numerical Studies on New Techniques for Gravitational Wave Extraction and Binary Black Hole Simulations written by Enrique Pazos and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tjonnie G. F. Li
Publisher : Springer
ISBN 13 : 3319192736
Total Pages : 243 pages
Book Rating : 4.3/5 (191 download)
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.
Author : Isaac Carson
Publisher :
ISBN 13 : 9781536122466
Total Pages : 0 pages
Book Rating : 4.1/5 (224 download)
Download or read book Gravitational Waves written by Isaac Carson and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for fast growing infinitesimal perturbations in the Friedmann-Lemaître-Robertson-Walker universe within Einsteins General Relativity is regarded as very important for explanation of observational inhomogeneities such as nebulae and clusters of galaxies. Chapter One reports on numerical solutions of Hawkings equations for gravitational waves in evolutionary universe, which includes wave-matter interaction. Chapter Two presents an overview of various options of direct including of SQUID into a system for registering effects of super weak elongation or very little force. Chapter Three reviews previous work on constraining gravitational radiation from elliptically deformed pulsars with terrestrial nuclear laboratory data in light of the recent gravitational wave detection, and estimates the maximum gravitational wave strain amplitude, using an optimistic value for the breaking strain of the neutron star crust. Chapter Four explores the LIGO signal GW150914 within the braneworld scenario. Future space flight propelled by artificially-generated Gravitational Wave (GW) beam is discussed within the framework of the General Relativity theory in the final chapter of this book.
Author : V. De Sabbata
Publisher : Springer Science & Business Media
ISBN 13 : 1468408534
Total Pages : 339 pages
Book Rating : 4.4/5 (684 download)
Download or read book Topics in Theoretical and Experimental Gravitation Physics written by V. De Sabbata and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 139 The L. S. U. Low Temperature Gravity Wave Experiment, W. O. Hamilton, T. P. Bernat, D. G. Blair, W. C. Oelfke 149 Optimal Detection of Signals through Linear Devices with Thermal Noise Sources and Application to the Munich Frascati Weber-Type Gravitational Wave Detectors, P. Kafka . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 Synchrotron Radiation and Astrophysics, A. A."
Author : Éric Gourgoulhon
Publisher : Springer
ISBN 13 : 3642245250
Total Pages : 304 pages
Book Rating : 4.6/5 (422 download)
Download or read book 3+1 Formalism in General Relativity written by Éric Gourgoulhon and published by Springer. This book was released on 2012-02-27 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.
Author : Miren Radia
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)
Download or read book Numerical Modelling of Gravitational Wave Sources in General Relativity written by Miren Radia and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Iberê Kuntz
Publisher : Springer
ISBN 13 : 3030211975
Total Pages : 82 pages
Book Rating : 4.0/5 (32 download)
Download or read book Gravitational Theories Beyond General Relativity written by Iberê Kuntz and published by Springer. This book was released on 2019-05-21 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the success of general relativity in explaining classical gravitational phenomena, several problems at the interface between gravitation and high energy physics still remain open. The purpose of this thesis is to explore quantum gravity and its phenomenological consequences for dark matter, gravitational waves and inflation. A new formalism to classify gravitational theories based on their degrees of freedom is introduced and, in light of this classification, it is argued that dark matter is no different from modified gravity. Gravitational waves are shown to be damped due to quantum degrees of freedom. The consequences for gravitational wave events are also discussed. The non-minimal coupling of the Higgs boson to gravity is studied in connection with Starobinsky inflation and its implications for the vacuum instability problem is analyzed.
Author : Luciano Rezzolla
Publisher : OUP Oxford
ISBN 13 : 0191509914
Total Pages : 752 pages
Book Rating : 4.1/5 (915 download)
Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by OUP Oxford. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.
Author : E Verdaguer
Publisher : World Scientific
ISBN 13 : 9814611492
Total Pages : 446 pages
Book Rating : 4.8/5 (146 download)
Download or read book Recent Developments In Gravitation - Proceedings Of The "Relativity Meeting – 89" written by E Verdaguer and published by World Scientific. This book was released on 1990-10-22 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews some recent developments and new perspectives in classical and Quantum Gravity. The topics treated at a graduate level range from some new and old problems in General Relativity, algebraic computing, gravitational wave astronomy to some more speculative subjects as the early Universe, Quantum Gravity and Quantum Cosmology.
Author : Abhay Ashtekar
Publisher : Cambridge University Press
ISBN 13 : 110703731X
Total Pages : 697 pages
Book Rating : 4.1/5 (7 download)
Download or read book General Relativity and Gravitation written by Abhay Ashtekar and published by Cambridge University Press. This book was released on 2015-06 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
Author : Oliver Elbracht
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)
Download or read book Wave Extraction in Numerical Evolutions of Distorted Black Holes written by Oliver Elbracht and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of black holes and their interactions and the extraction of gravitational waves become of primary importance from both - the astrophysical and theoretical points of view now that the first gravitational detectors have started operating; gravitational waves, while certainly extremely weak, are also extremely pervasive and thus a novel and very promising way of exploring the universe. Space-times containing highly distorted black holes will generally have strong time-dependent gravitational fields and presumably provide the strongest sources of gravitational waves in the universe. This work focuses on two fundamental problems in modern numerical relativity: (1) Creating valid initial data of non-perturbative distorted black hole space-times for numerical evolution, and (2) extracting the radiation quantities in a coordinate independent way, using the Newman-Penrose formalism. I first consider the initial data for such distorted black hole space-times, prescribing them successfully in a simplified situation of superimposed time symmetric Brill waves, and leading the way to more general initial data which corresponds to rotating black holes. To drop the assumption of time symmetric initial hypersurfaces will be subject of future work. Next I move to the numerical evolution and introduce a simple but stable way to perform excision in spherical coordinates. Finally, I extract the gravitational wave signal from the numerical simulations, using the Newman-Penrose formalism, in particular the Weyl scalars. I adopt a particular frame where the Weyl scalars acquire physical meaning, and can be directly associated with the waveform. Moreover, I derive a formula to calculate the energy carried away by the wave. Comparison of the even and odd parity waveforms of our non-perturbation approach with the metric perturbation approaches such as Regge-Wheeler [1], Zerilli [2] and Teukolsky [3] will partly be discussed and partly be subject of future work
Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 1108844111
Total Pages : 235 pages
Book Rating : 4.1/5 (88 download)
Download or read book Numerical Relativity: Starting from Scratch written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2021-04-08 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
Author : Tjonnie G. F. Li
Publisher :
ISBN 13 : 9783319192741
Total Pages : pages
Book Rating : 4.1/5 (927 download)
Download or read book Extracting Physics from Gravitational Waves written by Tjonnie G. F. Li and published by . This book was released on 2015 with total page 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. The author is the winner of the 2013 Stefano Braccini Thesis Prize awarded by the Gravitational Wave International Committee.
Author : M. Novello
Publisher : World Scientific
ISBN 13 : 9812569782
Total Pages : 940 pages
Book Rating : 4.8/5 (125 download)
Download or read book The Tenth Marcel Grossmann Meeting written by M. Novello and published by World Scientific. This book was released on 2005 with total page 940 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marcel Grossmann meetings were conceived to promote theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. They review recent developments in gravitation and general relativity, with major emphasis on mathematical foundations and physical predictions. Their main objective is to bring together scientists from diverse backgrounds and their range of topics is broad, from more abstract classical theory and quantum gravity and strings to more concrete relativistic astrophysics observations and modeling. This Tenth Marcel Grossmann Meeting was organized by an international committee composed of D. Blair, Y. Choquet-Bruhat, D. Christodoulou, T. Damour, J. Ehlers, F. Everitt, Fang Li Zhi, S. Hawking, Y. Ne'eman, R. Ruffini (chair), H. Sato, R. Sunyaev, and S. Weinberg and backed by an international coordinating committee of about 135 members from scientific institutions representing 54 countries. The scientific program included 29 morning plenary talks during 6 days, and 57 parallel sessions over five afternoons, during which roughly 500 papers were presented. These three volumes of the proceedings of MG10 give a broad view of all aspects of gravitation, from mathematical issues to recent observations and experiments
