Scattering From Black Holes

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Scattering from Black Holes

Author : J. A. H. Futterman
Publisher : Cambridge University Press
ISBN 13 : 9780521112109
Total Pages : 0 pages
Book Rating : 4.1/5 (121 download)

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Book Synopsis Scattering from Black Holes by : J. A. H. Futterman

Download or read book Scattering from Black Holes written by J. A. H. Futterman and published by Cambridge University Press. This book was released on 2009-06-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book investigates the propagation of waves in the presence of black holes. Astrophysical black holes may eventually be probed by these techniques. The authors emphasise intuitive physical thinking in their treatment of the techniques of analysis of scattering, but alternate this with chapters on the rigourous mathematical development of the subject. High and low energy limiting cases are treated extensively and semi-classical results are also obtained. The analogy between Newtonian gravitational scattering and Coulomb quantum mechanical scattering is fully exploited. The book introduces the concepts of scattering by considering the simplest, scalar wave case of scattering by a spherical black hole. It then develops the formalism of spin-weighted spheroidal harmonics and of plane wave representations for neutrino, electromagnetic and gravitational scattering. Research workers and graduate and advanced undergraduate students in scattering theory, wave propagation and relativity will find this a comprehensive treatment of the topic.

High Energy Radiation from Black Holes

Author : Charles Dermer
Publisher : Princeton University Press
ISBN 13 : 0691144087
Total Pages : 560 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis High Energy Radiation from Black Holes by : Charles Dermer

Download or read book High Energy Radiation from Black Holes written by Charles Dermer and published by Princeton University Press. This book was released on 2009-10-11 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with Einstein's special and general theories of relativity, the authors give a detailed mathematical description of fundamental astrophysical radiation processes, including Compton scattering of electrons and photons, synchrotron radiation of particles in magnetic fields, and much more.

Superradiance

Author : Richard Brito
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.

Black Holes in Higher Dimensions

Author : Gary T. Horowitz
Publisher : Cambridge University Press
ISBN 13 : 1107013453
Total Pages : 437 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Black Holes in Higher Dimensions by : Gary T. Horowitz

Download or read book Black Holes in Higher Dimensions written by Gary T. Horowitz and published by Cambridge University Press. This book was released on 2012-04-19 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to black holes in more than four dimensions, for graduate students and researchers.

Direct and Inverse Scattering at Fixed Energy for Massless Charged Dirac Fields by Kerr-Newman-de Sitter Black Holes

Author : Thierry Daudé
Publisher : American Mathematical Soc.
ISBN 13 : 1470423766
Total Pages : 113 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Direct and Inverse Scattering at Fixed Energy for Massless Charged Dirac Fields by Kerr-Newman-de Sitter Black Holes by : Thierry Daudé

Download or read book Direct and Inverse Scattering at Fixed Energy for Massless Charged Dirac Fields by Kerr-Newman-de Sitter Black Holes written by Thierry Daudé and published by American Mathematical Soc.. This book was released on 2017-04-25 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the authors study the direct and inverse scattering theory at fixed energy for massless charged Dirac fields evolving in the exterior region of a Kerr-Newman-de Sitter black hole. In the first part, they establish the existence and asymptotic completeness of time-dependent wave operators associated to our Dirac fields. This leads to the definition of the time-dependent scattering operator that encodes the far-field behavior (with respect to a stationary observer) in the asymptotic regions of the black hole: the event and cosmological horizons. The authors also use the miraculous property (quoting Chandrasekhar)—that the Dirac equation can be separated into radial and angular ordinary differential equations—to make the link between the time-dependent scattering operator and its stationary counterpart. This leads to a nice expression of the scattering matrix at fixed energy in terms of stationary solutions of the system of separated equations. In a second part, the authors use this expression of the scattering matrix to study the uniqueness property in the associated inverse scattering problem at fixed energy. Using essentially the particular form of the angular equation (that can be solved explicitly by Frobenius method) and the Complex Angular Momentum technique on the radial equation, the authors are finally able to determine uniquely the metric of the black hole from the knowledge of the scattering matrix at a fixed energy.

Mathematical Theory of Scattering Resonances

Author : Semyon Dyatlov
Publisher : American Mathematical Soc.
ISBN 13 : 147044366X
Total Pages : 634 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Theory of Scattering Resonances by : Semyon Dyatlov

Download or read book Mathematical Theory of Scattering Resonances written by Semyon Dyatlov and published by American Mathematical Soc.. This book was released on 2019-09-10 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering resonances generalize bound states/eigenvalues for systems in which energy can scatter to infinity. A typical resonance has a rate of oscillation (just as a bound state does) and a rate of decay. Although the notion is intrinsically dynamical, an elegant mathematical formulation comes from considering meromorphic continuations of Green's functions. The poles of these meromorphic continuations capture physical information by identifying the rate of oscillation with the real part of a pole and the rate of decay with its imaginary part. An example from mathematics is given by the zeros of the Riemann zeta function: they are, essentially, the resonances of the Laplacian on the modular surface. The Riemann hypothesis then states that the decay rates for the modular surface are all either or . An example from physics is given by quasi-normal modes of black holes which appear in long-time asymptotics of gravitational waves. This book concentrates mostly on the simplest case of scattering by compactly supported potentials but provides pointers to modern literature where more general cases are studied. It also presents a recent approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.

Black Holes

Author : Derek J. Raine
Publisher : Imperial College Press
ISBN 13 : 1848163827
Total Pages : 211 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Black Holes by : Derek J. Raine

Download or read book Black Holes written by Derek J. Raine and published by Imperial College Press. This book was released on 2010 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the fascinating subject of black holes fills a significant gap in the literature which exists between popular, non-mathematical expositions and advanced textbooks at the research level. It is designed for advanced undergraduates and first year postgraduates as a useful stepping-stone to the advanced literature. The book provides an accessible introduction to the exact solutions of Einstein's vacuum field equations describing spherical and axisymmetric (rotating) black holes. The geometry and physical properties of these spacetimes are explored through the motion of particles and light. The use of different coordinate systems, maximal extensions and Penrose diagrams is explained. The association of the surface area of a black hole with its entropy is discussed and it is shown that with the introduction of quantum mechanics black holes cease to be black and can radiate. This result allows black holes to satisfy the laws of thermodynamics and thus be consistent with the rest of physics. In this new edition the problems in each chapter have been revised and solutions are provided. The text has been expanded to include new material on wormholes and clarify various other issues.

The Mathematical Theory of Black Holes

Author : Subrahmanyan Chandrasekhar
Publisher : Oxford University Press
ISBN 13 : 9780198503705
Total Pages : 676 pages
Book Rating : 4.5/5 (37 download)

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Book Synopsis The Mathematical Theory of Black Holes by : Subrahmanyan Chandrasekhar

Download or read book The Mathematical Theory of Black Holes written by Subrahmanyan Chandrasekhar and published by Oxford University Press. This book was released on 1998 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part of the reissued Oxford Classic Texts in the Physical Sciences series, this book was first published in 1983, and has swiftly become one of the great modern classics of relativity theory. It represents a personal testament to the work of the author, who spent several years writing and working-out the entire subject matter. The theory of black holes is the most simple and beautiful consequence of Einstein's relativity theory. At the time of writing there was no physical evidence for the existence of these objects, therefore all that Professor Chandrasekhar used for their construction were modern mathematical concepts of space and time. Since that time a growing body of evidence has pointed to the truth of Professor Chandrasekhar's findings, and the wisdom contained in this book has become fully evident.

Black Holes, Cosmology and Extra Dimensions

Author : Kirill A. Bronnikov
Publisher : World Scientific
ISBN 13 : 9814374202
Total Pages : 442 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Black Holes, Cosmology and Extra Dimensions by : Kirill A. Bronnikov

Download or read book Black Holes, Cosmology and Extra Dimensions written by Kirill A. Bronnikov and published by World Scientific. This book was released on 2013 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming foundational knowledge of special and general relativity, this book guides the reader on issues surrounding black holes, wormholes and cosmology. Half of it is devoted to local strong field configurations (black holes and wormholes) in general relativity and the most relevant of alternative theories: scalar tensor, f(R) and multidimensional theories. The remaining half is on cosmology, including inflation and a unified description of the whole evolution of the universe. Much of the content is new in book publications, because it was previously found only in journal publications, e.g. regarding regular black holes, various scalar field solutions, wormholes and their stability. The original approach to nonlinear multidimensional gravity that is able to construct a unique perspective describing different phenomena is highlighted. Expository work is conducted for mechanism of symmetries and fundamental constants formation.

Quantum Black Holes

Author : Xavier Calmet
Publisher : Springer Science & Business Media
ISBN 13 : 3642389392
Total Pages : 112 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Quantum Black Holes by : Xavier Calmet

Download or read book Quantum Black Holes written by Xavier Calmet and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by foremost experts, this short book gives a clear description of the physics of quantum black holes. The reader will learn about quantum black holes in four and higher dimensions, primordial black holes, the production of black holes in high energy particle collisions, Hawking radiation, black holes in models of low scale quantum gravity and quantum gravitational aspects of black holes.

Introduction to Black Hole Physics

Author : Valeri P. Frolov
Publisher : Oxford University Press
ISBN 13 : 0199692297
Total Pages : 505 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Introduction to Black Hole Physics by : Valeri P. Frolov

Download or read book Introduction to Black Hole Physics written by Valeri P. Frolov and published by Oxford University Press. This book was released on 2011-09-22 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is a black hole? How many of them are in our Universe? Can black holes be created in a laboratory or in particle colliders? Can objects similar to black holes be used for space and time travel? This book discusses these and many other questions providing the reader with the tools required to explore the Black Hole Land independently.

Formation and Evolution of Black Holes in the Galaxy

Author : Gerald Edward Brown
Publisher : World Scientific
ISBN 13 : 9789812382504
Total Pages : 530 pages
Book Rating : 4.3/5 (825 download)

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Book Synopsis Formation and Evolution of Black Holes in the Galaxy by : Gerald Edward Brown

Download or read book Formation and Evolution of Black Holes in the Galaxy written by Gerald Edward Brown and published by World Scientific. This book was released on 2003 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In published papers H A Bethe and G E Brown worked out the collapse of large stars and supernova explosions. They went on to evolve binaries of compact stars, finding that in the standard scenario the first formed neutron star always went into a black hole in common envelope evolution. C-H Lee joined them in the study of black hole binaries and gamma ray bursts. They found the black holes to be the fossils of the gamma ray bursts. From their properties they could reconstruct features of the burst and of the accompanying hypernova explosions. This invaluable book contains 23 papers on astrophysics, chiefly on compact objects, written over 23 years. The papers are accompanied by illuminating commentary. In addition there is an appendix on kaon condensation which the editors believe to be relevant to the equation of state in neutron stars, and to explain why black holes are formed at relatively low masses.

Scattering, Two-Volume Set

Author : E. R. Pike
Publisher : Elsevier
ISBN 13 : 0080540732
Total Pages : 1831 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Scattering, Two-Volume Set by : E. R. Pike

Download or read book Scattering, Two-Volume Set written by E. R. Pike and published by Elsevier. This book was released on 2001-10-09 with total page 1831 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering

Artificial Black Holes

Author : Mario Novello
Publisher : World Scientific
ISBN 13 : 9814489603
Total Pages : 416 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Artificial Black Holes by : Mario Novello

Download or read book Artificial Black Holes written by Mario Novello and published by World Scientific. This book was released on 2002-10-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various “analog models”. These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein's gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.

Relativity and Gravitation

Author : Jiří Bičák
Publisher : Springer
ISBN 13 : 3319067613
Total Pages : 583 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Relativity and Gravitation by : Jiří Bičák

Download or read book Relativity and Gravitation written by Jiří Bičák and published by Springer. This book was released on 2014-06-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.

Black Holes and Relativistic Stars

Author : Robert M. Wald
Publisher : University of Chicago Press
ISBN 13 : 9780226870359
Total Pages : 300 pages
Book Rating : 4.8/5 (73 download)

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Book Synopsis Black Holes and Relativistic Stars by : Robert M. Wald

Download or read book Black Holes and Relativistic Stars written by Robert M. Wald and published by University of Chicago Press. This book was released on 1998 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive summary of progress made during the past decade on the theory of black holes and relativistic stars, this collection includes discussion of structure and oscillations of relativistic stars, the use of gravitational radiation detectors, observational evidence for black holes, cosmic censorship, numerical work related to black hole collisions, the internal structure of black holes, black hole thermodynamics, information loss and other issues related to the quantum properties of black holes, and recent developments in the theory of black holes in the context of string theory. Volume contributors: Valeria Ferrari, John L. Friedman, James B. Hartle, Stephen W. Hawking, Gary T. Horowitz, Werner Israel, Roger Penrose, Martin J. Rees, Rafael D. Sorkin, Saul A. Teukolsky, Kip S. Thorne, and Robert M. Wald.

Progress in String Theory and M-Theory

Author : L. Baulieu
Publisher : Springer Science & Business Media
ISBN 13 : 9401008523
Total Pages : 420 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Progress in String Theory and M-Theory by : L. Baulieu

Download or read book Progress in String Theory and M-Theory written by L. Baulieu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in supersymmetric field theory, string theory, and brane theory have been revolutionary. The main focus of the present volume is developments of M-theory and its applications to superstring theory, quantum gravity, and the theory of elementary particles. Topics included are D-branes, boundary states, and world volume solitons. Anti-De-Sitter quantum field theory is explained, emphasising the way it can enforce the holography principle, together with the relation to black hole physics and the way Branes provide the microscopic interpretation for the entropy of black holes. Developments in D-branes within type-I superstring and related theories are described. There are also possible phenomenological implications of superstring theory that would lie within the range of quantum gravity effects in the future generation of accelerators, around 1 TeV.