MARC Record from marc_columbia

LEADER: 03173cam a2200481M 4500
001 16273061
005 20220625225751.0
006 m o d
007 cr |||||||||||
008 161125nuuuuuuuuxx o 000 0 eng d
035 $a(OCoLC)ocn964334806
035 $a(NNC)16273061
040 $aYDX$beng$epn$cYDX$dOCLCQ$dN$T$dOCLCF$dSTF$dOCLCQ$dOCLCO
020 $a3037195533$q(electronic bk.)
020 $a9783037195536$q(electronic bk.)
035 $a(OCoLC)964334806
050 4 $aQA377
072 7 $aMAT$x005000$2bisacsh
072 7 $aMAT$x034000$2bisacsh
082 04 $a515.35
084 $a83-xx$2msc
049 $aZCUA
100 1 $aHANS RINGSTROM.
245 10 $aCAUCHY PROBLEM IN GENERAL RELATIVITY.
260 $a[Place of publication not identified] :$bEUROPEAN MATHEMATICAL SOC.
300 $a1 online resource
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
520 $aThe general theory of relativity is a theory of manifolds equipped with Lorentz metrics and fields which describe the matter content. Einstein's equations equate the Einstein tensor (a curvature quantity associated with the Lorentz metric) with the stress energy tensor (an object constructed using the matter fields). In addition, there are equations describing the evolution of the matter. Using symmetry as a guiding principle, one is naturally led to the Schwarzschild and Friedmann-Lemaître-Robertson-Walker solutions, modelling an isolated system and the entire universe respectively. In a different approach, formulating Einstein's equations as an initial value problem allows a closer study of their solutions. This book first provides a definition of the concept of initial data and a proof of the correspondence between initial data and development. It turns out that some initial data allow non-isometric maximal developments, complicating the uniqueness issue. The second half of the book is concerned with this and related problems, such as strong cosmic censorship. The book presents complete proofs of several classical results that play a central role in mathematical relativity but are not easily accessible to those wishing to enter the subject. Prerequisites are a good knowledge of basic measure and integration theory as well as the fundamentals of Lorentz geometry. The necessary background from the theory of partial differential equations and Lorentz geometry is included.
650 0 $aCauchy problem.
650 0 $aGeneral relativity (Physics)$xMathematics.
650 6 $aProblème de Cauchy.
650 6 $aRelativité générale (Physique)$xMathématiques.
650 07 $aDifferential equations.$2bicssc
650 7 $aMATHEMATICS$xCalculus.$2bisacsh
650 7 $aMATHEMATICS$xMathematical Analysis.$2bisacsh
650 7 $aCauchy problem.$2fast$0(OCoLC)fst00849796
650 7 $aGeneral relativity (Physics)$xMathematics.$2fast$0(OCoLC)fst00939820
650 07 $aRelativity and gravitational theory.$2msc
655 4 $aElectronic books.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio16273061$zAll EBSCO eBooks
852 8 $blweb$hEBOOKS