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Author : Vladimir Belinski,E. Verdaguer
Publisher : Cambridge University Press
Page : 280 pages
File Size : 45,6 Mb
Release : 2001-07-19
Category : Science
ISBN : 0521805864
This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.
Author : V. Belinski,E. Verdaguer
Publisher : Cambridge University Press
Page : 280 pages
File Size : 42,9 Mb
Release : 2001-07-19
Category : Science
ISBN : 1139428969
This 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes. A valuable reference for researchers and graduate students in the fields of general relativity, string theory and cosmology, this book will also be of interest to mathematical physicists in general.
Author : Vladimir Belinski
Publisher : Unknown
Page : 258 pages
File Size : 53,8 Mb
Release : 2004
Category : Gravitational waves
ISBN : 0511303416
This is the first book to give a self-contained exposition of the theory of gravitational solitons and provide a comprehensive review of exact soliton solutions to Einstein's equations. A valuable reference for researchers and graduate students.
Author : Victoriano Carmona,Jesús Cuevas-Maraver,Fernando Fernández-Sánchez,Elisabeth García- Medina
Publisher : Springer
Page : 424 pages
File Size : 55,8 Mb
Release : 2018-09-15
Category : Science
ISBN : 9783319667669
This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.
Author : Maciej Dunajski
Publisher : Oxford University Press
Page : 374 pages
File Size : 53,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9780198570622
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Author : Yvonne Choquet-Bruhat
Publisher : Oxford University Press
Page : 300 pages
File Size : 45,8 Mb
Release : 2015
Category : Mathematics
ISBN : 9780199666454
General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.
Author : V.G. Makhankov
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400922174
'Et moi ..., si j'avait Sll comment en revemr, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Author : Allan P. Fordy
Publisher : Manchester University Press
Page : 472 pages
File Size : 50,7 Mb
Release : 1990
Category : Evolution equations, Nonlinear
ISBN : 0719014913
A coherent introduction to the complete range of soliton theory including Hirota's method and Backlund transformations. Details physical applications of soliton theory with chapters on the peculiar wave patterns of the Andaman Sea, atmospheric phenomena, general relativity and Davydov solitons. Contains testing for full integrability, a discussion of the Painlevé technique, symmetries and conservation law.
Author : R.K. Bullough,P.J. Caudrey
Publisher : Springer Science & Business Media
Page : 403 pages
File Size : 54,6 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783642814488
With contributions by numerous experts
Author : J.B. Griffiths
Publisher : Courier Dover Publications
Page : 256 pages
File Size : 49,5 Mb
Release : 2016-04-06
Category : Science
ISBN : 9780486810980
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.
Author : F. Calogero,A. Degasperis
Publisher : Elsevier
Page : 515 pages
File Size : 49,8 Mb
Release : 2011-08-18
Category : Mathematics
ISBN : 0080875343
Spectral Transform and Solitons
Author : Abdus Salam,Ahmed Ali
Publisher : World Scientific
Page : 700 pages
File Size : 50,7 Mb
Release : 1994
Category : Science
ISBN : 9810216637
This is a selection from over 250 papers published by Abdus Salam. Professor Salam has been Professor of Theoretical Physics at Imperial College, London and Director of the International Centre for Theoretical Physics in Trieste, for which he was largely responsible for creating. He is one of the most distinguished theoretical physicists of his generation and won the Nobel Prize for Physics in 1979 for his work on the unification of electromagnetic and weak interactions. He is well known for his deep interest in the development of scientific research in the third world (to which ICTP is devoted) and has taken a leading part in setting up the Third World Academy. His research work has ranged widely over quantum field theory and all aspects of the theory of elementary particles and more recently into other fields, including high-temperature superconductivity and theoretical biology. The papers selected represent a cross section of his work covering the entire period of 50 years from his student days to the present.
Author : Ruffini Remo,Keiser George Mac,Jantzen Robert T
Publisher : World Scientific
Page : 2024 pages
File Size : 51,7 Mb
Release : 1997-03-19
Category : Electronic
ISBN : 9789814550000
Since 1975, the triennial Marcel Grossmann Meetings have been organized in order to provide opportunities for discussing recent advances in gravitation, general relativity and relativisitic field theories, emphasizing mathematical foundations, physical predictions, and experimental tests.The proceedings of the Seventh Marcel Grossmann Meeting include the invited papers given at the plenary sessions, the summaries of the parallel sessions, the contributed papers presented at the parallel sessions, and the evening public lectures.The authors of these papers discuss many of the recent theoretical, observational, and experimental developments that have significant implications for the fields of physics, cosmology, and relativistic astrophysics.
Author : Anzhong Wang
Publisher : World Scientific
Page : 220 pages
File Size : 49,6 Mb
Release : 2020-03-19
Category : Science
ISBN : 9789811211508
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.
Author : Massimo Bianchi,Robert T Jantzen,Remo Ruffini
Publisher : World Scientific
Page : 4784 pages
File Size : 52,8 Mb
Release : 2017-10-13
Category : Science
ISBN : 9789813226616
The four volumes of the proceedings of MG14 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 included 35 morning plenary talks over 6 days, 6 evening popular talks and 100 parallel sessions on 84 topics over 4 afternoons.Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theory, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics, including topics such as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star, pulsar and white dwarf astrophysics.The remaining volumes include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, white dwarfs, binary systems, radiative transfer, accretion disks, quasars, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, cosmic rays and the history of general relativity.