MARC Record from harvard_bibliographic_metadata

LEADER: 02275cam a2200349Ia 4500
001 010197140-0
005 20140910154232.0
008 070112s2007 nyu 000 0 eng d
016 7 $a979905206$2GyFmDB
020 $a9780387350738 (hd.bd.)
020 $a038735073X (hd.bd.)
035 0 $aocm85622358
035 0 $aocm78203106
040 $aOHX$cOHX$dYDXCP$dUAT$dIXA
050 4 $aQC173.6$b.G76 2007
072 7 $aQC$2lcco
072 7 $aQA$2lcco
100 1 $aGroah, Jeff.
245 10 $aShock wave interactions in general relativity :$ba locally inertial Glimm scheme for spherically symmetric spacetimes /$cJeffrey Groah, Joel Smoller, Blake Temple.
260 $aNew York :$bSpringer,$cc2007.
300 $aviii, 152 p. ;$c24 cm.
440 0 $aSpringer monographs in mathematics,$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 $aEinstein field equations.
650 0 $aShock waves.
650 0 $aMathematics.
650 0 $aRelativity (Physics).
700 1 $aSmoller, Joel.
700 1 $aTemple, Blake.
988 $a20061222
906 $0OCLC