General Relativity：an introduction for physicists 2006

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1、ThispageintentionallyleftblankGeneralRelativity:AnIntroductionforPhysicistsprovidesaclearmathematicalintroductiontoEinstein’stheoryofgeneralrelativity.Awiderangeofapplicationsofthetheoryareincluded,withaconcentrationonitsphysicalconsequences.Afterreviewingthebasicconcepts,theauthorsprese

2、ntaclearandintuitivediscussionofthemathematicalbackground,includingthenecessarytoolsoftensorcalculusanddifferentialgeometry.ThesetoolsareusedtodevelopthetopicofspecialrelativityandtodiscusselectromagnetisminMinkowskispacetime.Gravitationasspacetimecurvatureisthenintroducedandthefieldequa

3、tionsofgeneralrelativityarederived.Awiderangeofapplicationstophysicalsituationsfollows,andtheconclusiongivesabriefdiscussionofclassicalfieldtheoryandthederivationofgeneralrelativityfromavariationalprinciple.Writtenforadvancedundergraduateandgraduatestudents,thisapproachabletextbookcontai

4、nsover300exercisestoilluminateandextendthediscussioninthetext.MichaelHobsonspecialisedintheoreticalphysicsasanundergraduateattheUniversityofCambridgeandremainedattheCavendishLaboratorytocompleteaPh.D.inthephysicsofstar-formationandradiativetransfer.AsaResearchFellowatTrinityHall,Cambridg

5、e,andlaterasanAdvancedFellowoftheParticlePhysicsandAstronomyResearchCouncil,hedevelopedaninterestincosmology,inparticularinthestudyoffluctuationsinthecosmicmicrowavebackground(CMB)radiation.HeiscurrentlyaReaderinAstrophysicsandCosmologyattheCavendishLaboratory,whereheistheprincipalinvest

6、igatorfortheVerySmallArrayCMBinterferometer.HeisalsojointprojectscientistfortheArcminuteMicrokelvinImagerprojectandanassociateoftheEuropeanSpaceAgencyPlanckSurveyorCMBsatellitemission.Inadditiontoobservationalandtheo-reticalcosmology,hisresearchinterestsalsoincludeBayesiananalysismethods

7、andtheoreticalopticsandhehaspublishedover100researchpapersinawiderangeofareas.HeisaStaffFellowandDirectorofStudiesinNaturalSciencesatTrinityHallandenjoysanactiveroleintheteachingofundergraduatephysicsandmathematics.Heisaco-authorwithKenRileyandStephenBenceofthewell-knownu