Colliding Plane Waves In General Relativity
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Colliding Plane Waves In General Relativity
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Author : J.B. Griffiths
language : en
Publisher: Courier Dover Publications
Release Date : 2016-04-06
Colliding Plane Waves In General Relativity written by J.B. Griffiths and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-06 with Science categories.
This monograph surveys recent research on the collision and interaction of gravitational and electromagnetic waves. "This is a particularly important topic in general relativity," the author notes, "since the theory predicts that there will be a nonlinear interaction between such waves." Geared toward graduate students and researchers in general relativity, the text offers a comprehensive and unified review of the vast literature on the subject. The first eight chapters offer background, presenting the field equations and discussing some qualitative aspects of their solution. Subsequent chapters explore further exact solutions for colliding plane gravitational waves and the collision and interaction of electromagnetic waves. The final chapters summarize all related results for the collision of plane waves of different types and in non-flat backgrounds. A new postscript updates developments since the book's initial 1991 publication.
The Collision Of Plane Waves In General Relativity
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Author : Sean A. Hayward
language : en
Publisher:
Release Date : 1990
The Collision Of Plane Waves In General Relativity written by Sean A. Hayward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
Interacting Gravitational Electromagnetic Neutrino And Other Waves In The Context Of Einstein S General Theory Of Relativity
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Author : Anzhong Wang
language : en
Publisher: World Scientific
Release Date : 2020-03-19
Interacting Gravitational Electromagnetic Neutrino And Other Waves In The Context Of Einstein S General Theory Of Relativity written by Anzhong Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Science categories.
This book is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.
Exact Space Times In Einstein S General Relativity
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Author : Jerry B. Griffiths
language : en
Publisher: Cambridge University Press
Release Date : 2009-10-15
Exact Space Times In Einstein S General Relativity written by Jerry B. Griffiths and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-15 with Science categories.
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
Plane Gravitational Waves In General Relativity
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Author : Hermann Bondi
language : en
Publisher:
Release Date : 1954
Plane Gravitational Waves In General Relativity written by Hermann Bondi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with General relativity(Physics). categories.
General Relativity And Gravitational Waves
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Author : Sanjeev Dhurandhar
language : en
Publisher: Springer Nature
Release Date : 2022-02-16
General Relativity And Gravitational Waves written by Sanjeev Dhurandhar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-16 with Science categories.
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.
Singularities And Horizons In The Collisions Of Gravitational Waves
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Author : Ulvi Yurtsever
language : en
Publisher:
Release Date : 1989
Singularities And Horizons In The Collisions Of Gravitational Waves written by Ulvi Yurtsever and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Electronic dissertations categories.
This thesis presents a study of the dynamical, nonlinear interaction of colliding gravitational waves, as described by classical general relativity. It is focused mainly on two fundamental questions: First, what is the general structure of the singularities and Killing-Cauchy horizons produced in the collisions of exactly plane-symmetric gravitational waves? Second, under what conditions will the collisions of almost-plane gravitational waves (waves with large but finite transverse sizes) produce singularities?
Colliding Gravitational Plane Waves Bell Szekeres Solution
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Author :
language : en
Publisher:
Release Date : 2005
Colliding Gravitational Plane Waves Bell Szekeres Solution written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
The collision of pure electromagnetic plane waves with collinear polarization in Einstein-Maxwell theory and the collision of gravitational plane waves in vacuum Einstein theory are studied. The singularity structure of the Bell-Szekeres and the Szekeres solutions is examined by using curvature invariants. As a final work, the collision of the plane waves in dilaton gravity theory is studied and also the singularity structure of the corresponding space-time is examined.
Singular Null Hypersurfaces In General Relativity Light Like Signals From Violent Astrophysical Events
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Author : Peter A Hogan
language : en
Publisher: World Scientific
Release Date : 2004-02-03
Singular Null Hypersurfaces In General Relativity Light Like Signals From Violent Astrophysical Events written by Peter A Hogan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-03 with Science categories.
This book presents a comprehensive and self-contained exposition of the mathematical theory of impulsive light-like signals in general relativity. Applications are provided in relativistic astrophysics, cosmology and alternative theories of gravity deduced from string theory. Cataclysmic astrophysical events give rise to impulsive light-like signals which can generally be decomposed into a thin shell of null matter and an impulsive gravitational wave. Several examples are considered in black hole physics, wave collisions and light-like boosts of compact gravitating sources.Graduate students and researchers in relativistic astrophysics, cosmology and string theory will find this book very useful.
Twelfth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories In 3 Volumes Proceedings Of The Mg12 Meeting On General Relativity
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Author : Remo Ruffini
language : en
Publisher: World Scientific
Release Date : 2012-02-02
Twelfth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories In 3 Volumes Proceedings Of The Mg12 Meeting On General Relativity written by Remo Ruffini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-02 with Science categories.
Marcel Grossmann Meetings are formed to further the development of General Relativity by promoting theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. In these meetings are discussed recent developments in classical and quantum gravity, general relativity and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, with the main objective of gathering scientists from diverse backgrounds for deepening the understanding of spacetime structure and reviewing the status of test-experiments for Einstein's theory of gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity and strings, to the more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG12 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting includes 29 plenary talks stretched over 6 mornings, and 74 parallel sessions over 5 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theories, to precision tests of general relativity including progress towards the detection of gravitational waves, to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy, in active galactic nuclei and in other galaxies, neutron stars, pulsar astrophysics, gravitational lensing effects, neutrino physics and ultra high energy cosmic rays. The rest of the volumes include parallel sessions on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, cosmic background radiation & observational cosmology, numerical relativity & algebraic computing, gravitational lensing, variable ';constants'; of nature, large scale structure, topology of the universe, brane-world cosmology, early universe models & cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, gamma ray burst modeling, supernovas, global structure, singularities, cosmic censorship, chaos, Einstein-Maxwell systems, inertial forces, gravitomagnetism, wormholes & time machines, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors & data analysis, precision gravitational measurements, history of relativity, quantum gravity & loop quantum gravity, Casimir effect, quantum cosmology, strings & branes, self-gravitating systems, gamma ray astronomy, cosmic rays, gamma ray bursts and quasars.
