LEADER 04747nam 22006972 450 001 9910816124203321 005 20151005020622.0 010 $a1-107-12381-X 010 $a1-280-43344-2 010 $a9786610433445 010 $a0-511-17396-2 010 $a0-511-04170-5 010 $a0-511-15332-5 010 $a0-511-30341-6 010 $a0-511-53525-2 010 $a0-511-04403-8 035 $a(CKB)1000000000003452 035 $a(EBL)202002 035 $a(OCoLC)475916462 035 $a(SSID)ssj0000165176 035 $a(PQKBManifestationID)11924514 035 $a(PQKBTitleCode)TC0000165176 035 $a(PQKBWorkID)10125509 035 $a(PQKB)10541134 035 $a(UkCbUP)CR9780511535253 035 $a(Au-PeEL)EBL202002 035 $a(CaPaEBR)ebr10062695 035 $a(CaONFJC)MIL43344 035 $a(MiAaPQ)EBC202002 035 $a(PPN)261328263 035 $a(EXLCZ)991000000000003452 100 $a20090429d2001|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGravitational solitons /$fV. Belinski, E. Verdaguer$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2001. 215 $a1 online resource (xiii, 258 pages) $cdigital, PDF file(s) 225 1 $aCambridge monographs on mathematical physics 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-01806-4 311 $a0-521-80586-4 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis 2001 book gives a self-contained exposition of the theory of gravitational solitons and provides a comprehensive review of exact soliton solutions to Einstein's equations. The text begins with a detailed discussion of the extension of the Inverse Scattering Method to the theory of gravitation, starting with pure gravity and then extending it to the coupling of gravity with the electromagnetic field. There follows a systematic review of the gravitational soliton solutions based on their symmetries. These solutions include some of the most interesting in gravitational physics such as those describing inhomogeneous cosmological models, cylindrical waves, the collision of exact gravity waves, and the Schwarzschild and Kerr black holes. A valuable reference for researchers and graduate students in the fields of general relativity, string theory and cosmology, this book will also be of interest to mathematical physicists in general. 410 0$aCambridge monographs on mathematical physics. 606 $aSolitons 606 $aGravitational waves 615 0$aSolitons. 615 0$aGravitational waves. 676 $a530.14 700 $aBelinski$b V$g(Vladimir),$f1941-$01697799 702 $aVerdaguer$b E$g(Enric), 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910816124203321 996 $aGravitational solitons$94078787 997 $aUNINA