A Short Course in General Relativity 2nd ed.

作者J.FosterFosterJ.D.Nightingale
出版社
出版时间1998-03-01

特色:

Thisbookisashortintroductiontogeneralrelativity,intendedprimarilyasaone-semestercourseforfirst-yeargraduatestudents(orforseniors)inphysics,orinrelatedsubjectssuchasastrophysics.Whileweexpectsuchstudentstohavebeenexposedtospecialrelativityintheirintroductorymodernphysicscourses(mostlikelyintheirsophomoreyear)itisunlikelythattheyhaveusedthestandard4-vectormethods,andsowesupplysuchareviewinAppendixA.WestronglyadvisereadingAppendixAfirst.Moststudentsapproachinggeneralrelativityrequireanintroductiontotensors,andthesearedealtwithinChapterIandthefirsthalfofChap-ter2,wheregeodesics,absoluteandcovariantdifferentiation,andparalleltransportarediscussed.ThisenablesustodiscussthespacetimeofgeneralrelativityinthelatterhalfofthechapterandtakesusontoadiscussionofthefieldequationsinChapter3.InChapter4theresultslearnedareappliedtophysicsinthevicinityofamassiveobject,wherewehavetriedtocomparegeneralrelativisticresultswiththeirNewtoniancounterparts.Chapters5and6,ongravitationalradiationandtheelementsofcosmology,respectively,givefurtherapplicationsofthetheory,butstudentswantingamoredetailedknowledgeofthesetopics(andindeedalltopics)wouldhavetoturntothetextsreferredtointhebodyofthebook.

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