000 03964nam a22003858i 4500
001 CR9780511535253
003 UkCbUP
005 20200124160237.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090429s2001||||enk o ||1 0|eng|d
020 _a9780511535253 (ebook)
020 _z9780521805865 (hardback)
020 _z9780521018067 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.26.W28
_bB39 2001
082 0 0 _a530.14
_221
100 1 _aBelinski, V.
_q(Vladimir),
_d1941-
_eauthor.
245 1 0 _aGravitational solitons /
_cV. Belinski, E. Verdaguer.
264 1 _aCambridge :
_bCambridge University Press,
_c2001.
300 _a1 online resource (xiii, 258 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge monographs on mathematical physics
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _a1. 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 _aThis 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 _aSolitons.
650 0 _aGravitational waves.
700 1 _aVerdaguer, E.
_q(Enric),
_eauthor.
776 0 8 _iPrint version:
_z9780521805865
830 0 _aCambridge monographs on mathematical physics.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511535253
999 _c518147
_d518145