Gravitational Solitons PDF Download
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Author: Vladimir Belinski
Publisher: Cambridge University Press
ISBN: 9780521805865
Category : Science
Languages : en
Pages : 280
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Book Description
This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.
Author: Vladimir Belinski
Publisher: Cambridge University Press
ISBN: 9780521805865
Category : Science
Languages : en
Pages : 280
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Book Description
This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.
Author: V. Belinski
Publisher: Cambridge University Press
ISBN: 9781139428965
Category : Science
Languages : en
Pages : 280
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Book Description
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:
ISBN: 9780511173967
Category : Gravitational waves
Languages : en
Pages : 258
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Book Description
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
Publisher: Springer
ISBN: 3319667661
Category : Science
Languages : en
Pages : 428
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Book Description
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, USA
ISBN: 0198570627
Category : Language Arts & Disciplines
Languages : en
Pages : 374
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Book Description
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
ISBN: 0199666458
Category : Mathematics
Languages : en
Pages : 300
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Book Description
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
ISBN: 9400922175
Category : Science
Languages : en
Pages : 453
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Book Description
'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
ISBN: 9780719014918
Category : Evolution equations, Nonlinear
Languages : en
Pages : 472
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Book Description
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
Publisher: Springer Science & Business Media
ISBN: 3642814484
Category : Science
Languages : en
Pages : 403
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Book Description
With contributions by numerous experts
Author: F. Calogero
Publisher: Elsevier
ISBN: 0080875343
Category : Mathematics
Languages : en
Pages : 533
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Book Description
Spectral Transform and Solitons
