Relativity- The Special and General Theory

Relativity:TheSpecialandGeneralTheorybyAlbertEinsteinWeb-Books.ComRelativity:TheSpecialandGeneralTheoryPreface.................................................................................................................................4PartI:TheSpecialTheoryofRelativity.........................................................................5TheSystemofCo-ordinates............................................................................................7SpaceandTimeinClassicalMechanics.........................................................................9TheGalileianSystemofCo-ordinates..........................................................................10ThePrincipleofRelativity(intherestrictedsense)......................................................11TheTheoremoftheAdditionofVelocitiesEmployedinClassicalMechanics...........13TheApparentIncompatibilityoftheLawofPropagationofLightwiththePrincipleofRelativity.......................................................................................................................14OntheIdeaofTimeinPhysics.....................................................................................16TheRelativityofSimulatneity......................................................................................18OntheRelativityoftheConceptionofDistance..........................................................20TheLorentzTransformation.........................................................................................21TheBehaviourofMeasuring-RodsandClocksinMotion...........................................24TheHeuristicValueoftheTheoryofRelativity..........................................................29GeneralResultsoftheTheory......................................................................................30ExperienceandtheSpecialTheoryofRelativity.........................................................33Minkowski'sFour-DimensionalSpace.........................................................................36SpecialandGeneralPrincipleofRelativity..................................................................38TheGravitationalField.................................................................................................40TheEqualityofInertialandGravitationalMassasanargumentfortheGeneralPostuleofRelativity..................................................................................................................42InWhatRespectsaretheFoundationsofClassicalMechanicsandoftheSpecialTheoryofRelativityUnsatisfactory?............................................................................43AFewInferencesfromtheGeneralPrincipleofRelativity.........................................44BehaviourofClocksandMeasuring-RodsonaRotatingBodyofReference.............46EuclideanandNon-EuclideanContinuum....................................................................48GaussianCo-ordinates..................................................................................................50TheSpace-TimeContinuumoftheSpeicalTheoryofRelativityConsideredasaEuclideanContinuum....................................................................................................52TheSpace-TimeContinuumoftheGeneralTheoryofRealtivityisNotaEuclideanContinuum.....................................................................................................................53ExactFormulationoftheGeneralPrincipleofRelativity............................................55TheSolutionoftheProblemofGravitationontheBasisoftheGeneralPrincipleofRelativity.......................................................................................................................57CosmologicalDifficultiesofNewton'sTheory............................................................59ThePossibilityofaFiniteandyetUnboundedUniverse.......................................60TheStructureofSpaceAccordingtotheGeneralTheoryofRelativity.......................62AppendixI:SimpleDerivationoftheLorentzTransformation(SupplementarytoSection11)....................................................................................................................63AppendixII:Minkowski'sFour-DimensionalSpace(World)(supplementarytosection17).....................................................................................................................67AppendixIII:TheExperimentalConfirmationoftheGeneralTheoryofRelativity...68AppendixIV:TheStructureofSpaceAccordingtotheGeneralTheoryofRelativity(SupplementarytoSection32)......................................................................................73PrefaceThepresentbookisintended,asfaraspossible,togiveanexactinsightintothetheoryofRelativitytothosereaderswho,fromageneralscientificandphilosophicalpointofview,areinterestedinthetheory,butwhoarenotconversantwiththemathematicalapparatusoftheoreticalphysics.Theworkpresumesastandardofeducationcorrespondingtothatofauniversitymatriculationexamination,and,despitetheshortnessofthebook,afairamountofpatie