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1、GeneralRelativityandGravitation,Vol.~6,No.7,1994PhysicalInterpretationofVacuumSolutionsofEinstein'sEquations.PartII.Time-dependentsolutionstW.B.Bonnor,1:I.B.Grifllths2andM.A.H.MaeCallum1,sReceivedFebruary8,1994ThestudyofinterpretationsofthevacuumsolutionsofEinstein'sfieldequationsiscontinue
2、dbyconsideringsomewellknowntime-dependentsolutions.Amongthesearemetricsrepresentingacceleratingparticles,cylindricalandplanewavesandcosmologicalsolutions.1.INTRODUCTIONThisisthesecondoftworeviewpapersonthephysicalinterpretationofexactsolutionsofEinstein'svacuumequationswithoutcosmologicalco
3、n-stant.Thefirst[1],hereafterreferredtoasI,dealtwithstaticandstation-arysolutions.Thisdealswithtime-dependentsolutions.Weemphasizethatourinteresthereisinphysicalinterpretation;foramathematicaltreatiseonexactsolutions(upto1980)see[2].Itwillbenoticedthatcylindricallysymmetricspace-times(Secti
4、on3),collidingplanewavespace-times(Section6)andeosmologieswithtwocommutingKillingvectors(Section8)mayallberepresentedbyametricoftheform(15).Thesameformalsoappliestoregionsinsidehorizonsof1SchoolofMathematicalSciences,QueenMaryandWestfieldCollege,UniversityofLondon,MileEndRoad,LondonE14NS,UK
5、2DepartmentofMathematicalSciences,LoughbomughUniversityofTechnology,Loughborough,Leics.LEll3TU,UK.E-mail:J.B.Griffiths@lut.ac.uk3F_~mail:M.A.H.MacCallum@qmw.ac.uktPartIofthisseriesappearedasRef.1.6870001-7701/94/0700-0687507.00/0~1994PlenumPubllshiugCorporation688Bonnor,Grli~ithsandMacCallu
6、mstationaryaxiallysymmetricspace-timesandtotime-dependentregionsinWeylsolutionssuchasthatdescribedbytheBSsolution(subsection2.2).Whatallthesehaveincommonistheexistenceoftwocommutingspace-likeKillingvectors.Whatdistinguishesthemare(i)therangeandinterpretationofthecoordinates,(ii)differentbou
7、ndaryconditionsjoiningthemtoadjacentregions,and(iii)differentasymptoticproperties.Itfollowsthatthesamesolutionsofthelocalfieldequationsmayariseinanumberofdifferentphysicalsituationsiftheysatisfytheappropriatejunctionorasymptoticconditions.Inaddition,thee
