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理学物理学毕业论文 the equivalence principle, the covariance principle and the question of self-consistency in general

理学物理学毕业论文 the equivalence principle, the covariance principle and the question of self-consistency in general

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时间：2017-11-13

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1、湖南师范大学本科毕业论文考籍号：XXXXXXXXX姓名：XXX专业：理学物理学论文题目：TheEquivalencePrinciple,theCovariancePrincipleandtheQuestionofSelf-ConsistencyinGeneral指导老师：XXX二〇一一年十二月十日TheEquivalencePrinciple,theCovariancePrincipleandtheQuestionofSelf-ConsistencyinGeneralRelativityC.Y.LoAppliedandPure

2、ResearchInstitute17NewcastleDrive,Nashua,NH03060,USASeptember2001AbstractTheequivalenceprinciple,whichstatesthelocalequivalencebetweenaccelerationandgravity,requiresthatafreefallingobservermustresultinaco-movinglocalMinkowskispace.Ontheotherhand,covarianceprinciplea

3、ssumesanyGaussiansystemtobevalidasaspace-timecoordinatesystem.Giventhemathematicalexistenceoftheco-movinglocalMinkowskispacealongatime-likegeodesicinaLorentzmanifold,acrucialquestionforasatisfactionoftheequivalenceprincipleiswhetherthegeodesicrepresentsaphysicalfree

4、fall.Forinstance,ageodesicofanon-constantmetricisunphysicaliftheaccelerationonarestingobserverdoesnotexist.ThisanalysisismodeledafterEinsteinillustrationoftheequivalenceprinciplewiththecalculationoflightbending.Tojustifyhiscalculationrigorously,itisnecessarytoderiv

5、etheMaxwell-NewtonApproximationwithphysicalprinciplesthatleadtogeneralrelativity.Itisshown,asexpected,thattheGalileantransformationisincompatiblewiththeequivalenceprinciple.Thus,generalmathematicalcovariancemustberestrictedbyphysicalrequirements.Moreover,itisshownth

6、roughanexamplethataLorentzmanifoldmaynotnecessarilybediffeomorphictoaphysicalspace-time.Alsoobservationsupportsthataspacetimecoordinatesystemhasmeaninginphysics.Ontheotherhand,Pauliversionleadstotheincorrectspeculationthatingeneralrelativityspace-timecoordinateshav

7、enophysicalmeaning1.Introduction.Currently,amajorproblemingeneralrelativityisthatanyRiemanniangeometrywiththepropermetricsignaturewouldbeacceptedasavalidsolutionofEinsteinequationof1915,andmanyunphysicalsolutionswereaccepted[1].Thisis,inpart,duetothefactthatthenatu

8、reofthesourcetermhasbeenobscuresincethebeginning[2,3].Moreover,themathematicalexistenceofasolutionisoftennotaccompaniedwithunderstandingin

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