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Gravitational solitons /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Gravitational solitons // V. Belinski, E. Verdaguer.
Author:	Belinski, V.
other author:	Verdaguer, E.
Description:	1 online resource (xiii, 258 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Solitons. -
Online resource:	https://doi.org/10.1017/CBO9780511535253
ISBN:	9780511535253 (ebook)

Gravitational solitons /
Belinski, V.1941-

Gravitational solitons /V. Belinski, E. Verdaguer. - 1 online resource (xiii, 258 pages) :digital, PDF file(s). - Cambridge monographs on mathematical physics. - Cambridge monographs on mathematical physics..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

1. Inverse scattering technique in gravity -- 1.1. Outline of ISM -- 1.2. The integrable ansatz in general relativity -- 1.3. The integration scheme -- 1.4. Construction of the n-soliton solution -- 1.5. Multidimensional spacetime -- 2. General properties of gravitational solitons -- 2.1. The simple and double solitons -- 2.2. Diagonal background metrics -- 2.3. Topological properties -- 3. Einstein-Maxwell fields -- 3.1. The Einstein-Maxwell field equations -- 3.2. The spectral problem for Einstein-Maxwell fields -- 3.3. The components g[subscript ab] and the potentials A[subscript a] -- 3.4. The metric component f -- 3.5. Einstein-Maxwell breathers -- 4. Cosmology: diagonal metrics from Kasner -- 4.1. Anisotropic and inhomogeneous cosmologies -- 4.2. Kasner background -- 4.3. Geometrical characterization of diagonal metrics -- 4.4. Soliton solutions in canonical coordinates -- 4.5. Solutions with real poles -- 4.6. Solutions with complex poles -- 5. Cosmology: nondiagonal metrics and perturbed FLRW -- 5.1. Nondiagonal metrics -- 5.2. Bianchi II backgrounds -- 5.3. Collision of pulse waves and soliton waves -- 5.4. Solitons on FLRW backgrounds -- 6. Cylindrical symmetry -- 6.1. Cylindrically symmetric spacetimes -- 6.2. Einstein-Rosen soliton metrics -- 6.3. Two polarization waves and Faraday rotation -- 7. Plane waves and colliding plane waves -- 7.1. Overview -- 7.2. Plane waves -- 7.3. Colliding plane waves -- 8. Axial symmetry -- 8.1. The integration scheme -- 8.2. General n-soliton solution -- 8.3. The Kerr and Schwarzschild metrics -- 8.4. Asymptotic flatness of the solution -- 8.5. Generalized soliton solutions of the Weyl class -- 8.6. Tomimatsu-Sato solution.

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.

ISBN: 9780511535253 (ebook)Subjects--Topical Terms:

527879
Solitons.

LC Class. No.: QC174.26.W28 / B39 2001

Dewey Class. No.: 530.14

Gravitational solitons /
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245 1 0 $a Gravitational solitons / $c V. Belinski, E. Verdaguer.
264 1 $a Cambridge : $b Cambridge University Press, $c 2001.
300 $a 1 online resource (xiii, 258 pages) : $b digital, PDF file(s).
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490 1 $a Cambridge monographs on mathematical physics
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a 1. Inverse scattering technique in gravity -- 1.1. Outline of ISM -- 1.2. The integrable ansatz in general relativity -- 1.3. The integration scheme -- 1.4. Construction of the n-soliton solution -- 1.5. Multidimensional spacetime -- 2. General properties of gravitational solitons -- 2.1. The simple and double solitons -- 2.2. Diagonal background metrics -- 2.3. Topological properties -- 3. Einstein-Maxwell fields -- 3.1. The Einstein-Maxwell field equations -- 3.2. The spectral problem for Einstein-Maxwell fields -- 3.3. The components g[subscript ab] and the potentials A[subscript a] -- 3.4. The metric component f -- 3.5. Einstein-Maxwell breathers -- 4. Cosmology: diagonal metrics from Kasner -- 4.1. Anisotropic and inhomogeneous cosmologies -- 4.2. Kasner background -- 4.3. Geometrical characterization of diagonal metrics -- 4.4. Soliton solutions in canonical coordinates -- 4.5. Solutions with real poles -- 4.6. Solutions with complex poles -- 5. Cosmology: nondiagonal metrics and perturbed FLRW -- 5.1. Nondiagonal metrics -- 5.2. Bianchi II backgrounds -- 5.3. Collision of pulse waves and soliton waves -- 5.4. Solitons on FLRW backgrounds -- 6. Cylindrical symmetry -- 6.1. Cylindrically symmetric spacetimes -- 6.2. Einstein-Rosen soliton metrics -- 6.3. Two polarization waves and Faraday rotation -- 7. Plane waves and colliding plane waves -- 7.1. Overview -- 7.2. Plane waves -- 7.3. Colliding plane waves -- 8. Axial symmetry -- 8.1. The integration scheme -- 8.2. General n-soliton solution -- 8.3. The Kerr and Schwarzschild metrics -- 8.4. Asymptotic flatness of the solution -- 8.5. Generalized soliton solutions of the Weyl class -- 8.6. Tomimatsu-Sato solution.
520 $a 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.
650 0 $a Solitons. $3 527879
650 0 $a Gravitational waves. $3 592106
700 1 $a Verdaguer, E. $3 686353
776 0 8 $i Print version: $z 9780521805865
830 0 $a Cambridge monographs on mathematical physics. $3 1238364
856 4 0 $u https://doi.org/10.1017/CBO9780511535253