000 02851nam a22004455i 4500
001 978-0-387-44602-8
003 DE-He213
005 20250710083959.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387446028
_a99780387446028
024 7 _a10.1007/978-0-387-44602-8
_2doi
082 0 4 _a519
_223
100 1 _aGroah, Jeffrey.
_eeditor.
245 1 0 _aShock Wave Interactions in General Relativity
_h[recurso electrónico] :
_bA Locally Inertial Glimm Scheme for Spherically Symmetric Spacetimes /
_cedited by Jeffrey Groah, Blake Temple, Joel Smoller.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aVIII, 152 p. 7 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _aThe Initial Value Problem in Special Relativity -- A Shock Wave Formulation of the Einstein Equations -- Existence and Consistency for the Initial Value Problem.
520 _aThis monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. The first two chapters provide background for the introduction of a locally intertial Glimm Scheme, a non-dissipative numerical scheme for approximating shock wave solutions of the Einstein equations in spherically symmetric spacetimes. What follows is a careful analysis of this scheme providing a proof of the existence of (shock wave) solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation. The book covers the initial value problems for Einstein's gravitational field equations with fluid sources and shock wave initial data. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The book will be useful to graduate students and researchers in mathematics and physics.
650 0 _aMATHEMATICS.
650 0 _aRELATIVITY (PHYSICS).
650 1 4 _aMATHEMATICS.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
650 2 4 _aRELATIVITY AND COSMOLOGY.
700 1 _aTemple, Blake.
_eeditor.
700 1 _aSmoller, Joel.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387350738
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-44602-8
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c57653
_d57653