內容簡介
為數學家寫的廣義相對論Whileusingthisbookinclasses,wefoundthatourcanonicalreadercanlearnnonquantumphysicsratherquickly.Indeed,equippedwithgeometricintuitionandafacilitywithabstractarguments,heisinapositiontodealdirectlywiththegeneral,currentlyacceptedmodelsusedinrelativitywithoutbeinghandicappedbytheprejudicesthatinevitablycomewithyearsofNewtoniantraininginthestandardphysicscurriculum.However,thisshortcutdoesinvolveaprice:onecannotreallyseethediversityofspecialcasesbehindthedeceptivelysimplefoundationwithoutspendingmoretimethanamathematicsstudentnormallycanorshould.Wehavefeltforalongtimethataseriouseffortshouldbemadebyphysiciststocommunicatewithmathematicianssomewhatalongthelineofthisbook.Westartedwiththeaimofkeepingthephysicshonest,keepingth9mathematicshonest,andkeepingthelogicaldistinctionbetweenthetwostraight.Butwewereill-preparedfortheattendanttraumaofsuchanundertaking. 此書為英文版！ {zzjj}
目錄
Guidelines for the reader
Chapter 0 Preliminaries
0.0 Review and notation
0.1 Physics background
0.2 Preview of relativity
Chapter 1 Spacetimes
1.0 Review and notation
1.1 Causal character
1.2 Time orientability
1.3 Spacetimes
1.4 Examples of spacetimes
Chapter 2 Observers
2.0 Mathematical preliminaries
2.1 Observers and instantaneous observers
2.2gyroscopeaxes
2.3 ReferenceFrames
Chapter 3 Electromagnetisim and matter
Chapter 4 The Einstein field equation
Chapter 5 photons
Chapter 6 Cosmology
Chapter 7 Further applications
Chapter 8 Optional exercises:relativity
Chapter 9 Optional exercises:Newtonian analogues
Glossary or symbols
Index of basic notations
Index
