Theory of relativity

In the field of physics, relativity improved the science of elementary particles and their fundamental interactions, along with ushering in the nuclear age.With relativity, cosmology and astrophysics predicted extraordinary astronomical phenomena such as neutron stars, black holes, and gravitational waves.It was introduced in Einstein's 1905 paper "On the Electrodynamics of Moving Bodies" (for the contributions of many other physicists and mathematicians, see History of special relativity).The development of general relativity began with the equivalence principle, under which the states of accelerated motion and being at rest in a gravitational field (for example, when standing on the surface of the Earth) are physically identical.Einstein discussed his idea with mathematician Marcel Grossmann and they concluded that general relativity could be formulated in the context of Riemannian geometry which had been developed in the 1800s.[12] The predictions of special relativity have been confirmed in numerous tests since Einstein published his paper in 1905, but three experiments conducted between 1881 and 1938 were critical to its validation.[20] They obtained a null result, and concluded that "there is no effect ... unless the velocity of the solar system in space is no more than about half that of the earth in its orbit".[19][21] That possibility was thought to be too coincidental to provide an acceptable explanation, so from the null result of their experiment it was concluded that the round-trip time for light is the same in all inertial reference frames.[23] It was designed to test the transverse Doppler effect – the redshift of light from a moving source in a direction perpendicular to its velocity—which had been predicted by Einstein in 1905.Other experiments include, for instance, relativistic energy and momentum increase at high velocities, experimental testing of time dilation, and modern searches for Lorentz violations.Global positioning systems such as GPS, GLONASS, and Galileo, must account for all of the relativistic effects in order to work with precision, such as the consequences of the Earth's gravitational field.
Video simulation of the merger GW150914 , showing spacetime distortion from gravity as the black holes orbit and merge
Albert Einstein, physicist, 1879-1955, Graphic: Heikenwaelder Hugo,1999
The Kennedy–Thorndike experiment shown with interference fringes
RelativismThe Einstein Theory of RelativityGW150914spacetimephysicsAlbert Einsteinspecial relativitygeneral relativitygravitycosmologicaltheoretical physicsastronomytheory of mechanicsIsaac Newtondimensionalrelativity of simultaneitykinematicgravitationaltime dilationlength contractionelementary particlesnuclear agecosmologyastrophysicsastronomical phenomenaneutron starsblack holesgravitational wavesHistory of special relativityHistory of general relativityIntroductionHistoryTimelineMathematical formulationEquivalence principleWorld linePseudo-Riemannian manifoldKepler problemGravitational lensingGravitational redshiftGravitational time dilationFrame-draggingGeodetic effectEvent horizonSingularityBlack holeSpacetime diagramsMinkowski spacetimeEinstein–Rosen bridgeLinearized gravityEinstein field equationsFriedmannGeodesicsMathisson–Papapetrou–DixonHamilton–Jacobi–EinsteinPost-NewtonianKaluza–Klein theoryQuantum gravitySolutionsSchwarzschildinteriorReissner–NordströmEinstein–Rosen wavesWormholeGödelKerr–NewmanKerr–Newman–de SitterKasnerLemaître–TolmanTaub–NUTRobertson–WalkerOppenheimer–Snyderpp-wavevan Stockum dustWeyl−Lewis−PapapetrouHartle–ThorneEinsteinLorentzHilbertPoincaréde SitterReissnerNordströmEddingtonZwickyLemaîtreOppenheimerWheelerRobertsonBardeenWalkerChandrasekharEhlersPenroseHawkingRaychaudhuriTaylorvan StockumNewmanThorneothersAlbert A. MichelsonHendrik LorentzHenri PoincaréMax PlanckHermann MinkowskiGermanprinciple of relativityAlfred Buchereratomic physicsnuclear physicsquantum mechanicsmathematicsphenomenaquasarsmicrowave background radiationpulsarsOn the Electrodynamics of Moving Bodiesclassical mechanicslaws of physicsinertial frame of referencespeed of lightvacuumMichelson–Morley experimentclocksMass–energy equivalenceRelativistic massGalilean transformationsLorentz transformationsMaxwell's equationselectromagnetismIntroduction to general relativityaccelerated motiongravitational fieldfree fallinertial motionspacetime is curvedMarcel GrossmannRiemannian geometryMercurybinary pulsarsExpansion of the universeaccelerate the expansiongravitationmetric tensorstopologyTests of special relativityfalsifiableKennedy–Thorndike experimentIves–Stilwell experimentluminiferous aetherMichelson interferometerad hoc hypothesisFitzGerald–Lorentz contractionisotropicinertial framestransverse Doppler effectredshiftLorentz factorrelativistic energy and momentum increaseexperimental testing of time dilationmodern searches for Lorentz violationsTests of general relativitydeflection of lightframe draggingGLONASSGalileoDoubly special relativityGalilean invarianceList of textbooks on relativityBibcodeGrossmann, M.University of California, RiversideMichelson, Albert A.Morley, Edward W.The Meaning of RelativityPhysics TodaySidney PerkowitzEncyclopædia BritannicaWikisourceSpecialrelativityGalilean relativityGalilean transformationFrame of referenceHyperbolic orthogonalityRapidityProper lengthProper timeProper accelerationLorentz transformationTextbooksMass–energy equivalence (E=mc2)Relativistic Doppler effectThomas precessionLadder paradoxTwin paradoxTerrell rotationLight coneMinkowski diagramBiquaternionsMinkowski spaceGeneralrelativityPenrose diagramMach's principleADM formalismBSSN formalismPost-Newtonian formalismRaychaudhuri equationHamilton–Jacobi–Einstein equationErnst equationTwo-body problemdetectorscollaborationLISA PathfinderHulse–Taylor binaryOther testsprecessionlensingEinstein crossEinstein ringsShapiro delayLense–Thirring precessionpulsar timing arraysBrans–Dicke theoryKaluza–KleinFriedmann–Lemaître–Robertson–WalkerFriedmann equationsBKL singularityTolman–Oppenheimer–Volkoff equationOzsváth–SchückingAlcubierreNumerical relativityChoquet-BruhatZel'dovichNovikovGerochMisnerBrownian motionPhotoelectric effectEinstein coefficientsEinstein solidEinstein radiusEinstein relation (kinetic theory)Cosmological constantBose–Einstein condensateBose–Einstein statisticsBose–Einstein correlationsEinstein–Cartan theoryEinstein–Infeld–Hoffmann equationsEinstein–de Haas effectEPR paradoxBohr–Einstein debatesTeleparallelismThought experimentsUnsuccessful investigationsWave–particle dualityGravitational waveTea leaf paradoxAnnus mirabilis papersInvestigations on the Theory of Brownian MovementThe World as I See ItThe Evolution of PhysicsWhy Socialism?Russell–Einstein ManifestoIn popularcultureDie Grundlagen der Einsteinschen Relativitäts-TheorieInsignificanceYoung EinsteinPicasso at the Lapin AgileEinstein's GiftEinstein and EddingtonGeniusAlbert Einstein AwardAlbert Einstein MedalKalinga PrizeAlbert Einstein Peace PrizeAlbert Einstein World Award of ScienceEinstein Prize for Laser ScienceEinstein Prize (APS)Einstein and ReligionEinstein for BeginnersEinstein in OxfordEinstein on the RunEinstein's CosmosI Am Albert EinsteinIntroducing RelativitySubtle is the LordFamilyMileva MarićElsa EinsteinLieserl EinsteinHans Albert EinsteinPauline KochHermann EinsteinMaja EinsteinRobert EinsteinBernhard Caesar EinsteinEvelyn EinsteinThomas Martin EinsteinSiegbert EinsteinAwards and honorsMemorialPolitical viewsReligious viewsThings named afterEinstein–Oppenheimer relationshipAlbert Einstein ArchivesEinstein's BlackboardEinstein Papers ProjectEinstein refrigeratorEinsteinhausEinsteiniumMax TalmeyEmergency Committee of Atomic Scientistsbranches of physicsAppliedEngineeringExperimentalTheoreticalComputationalClassicalNewtonianAnalyticalCelestialContinuumAcousticsClassical electromagnetismClassical opticsThermodynamicsStatisticalNon-equilibriumModernRelativistic mechanicsSpecialGeneralParticle physicsAtomic, molecular, and optical physicsAtomicMolecularCondensed matter physicsSolid-state physicsCrystallographyAtmospheric physicsBiophysicsChemical physicsGeophysicsMaterials scienceMathematical physicsMedical physicsOcean physicsQuantum information scienceHistory of physicsNobel Prize in PhysicsPhilosophy of physicsPhysics educationresearchTimeline of physics discoveriesPresentFutureEternityMeasurementstandardsChronometryUnit of timeOrders of magnitude (time)MeasurementsystemsItalian six-hour clockThai six-hour clock12-hour clock24-hour clockRelative hourDaylight saving timeChineseDecimalHexadecimalMetricSiderealTime zoneCalendarsLunisolarGregorianJulianHebrewIslamicSolar HijriHindu Panchangastronomicalastrariumquantumhourglassmarinesundialmechanicalstopwatchwater-basedCuckoo clockDigital clockGrandfather clockChronologyAstronomical chronologyBig HistoryCalendar eraDeep timePeriodizationRegnal yearPhilosophy of timeA series and B seriesB-theory of timeChronocentrismDurationEndurantismEternal returnEternalismPerdurantismPresentismTemporal finitismTemporal partsThe Unreality of TimeAges of ManDestinyImmortalityDreamtimeTime and fate deitiesFather TimeWheel of timeKalachakraHuman experienceuse of timeChronemicsGeneration timeMental chronometrytime signatureRosy retrospectionTense–aspect–moodTime managementYesterdayTomorrowscienceGeologyGeological timeperiodGeochronologyGeological history of EarthAbsolute space and timeArrow of timeChrononCoordinate timeInstantTime domainTime translation symmetryTime reversal symmetryChronological datingChronobiologyCircadian rhythmsClock reactionGlottochronologyTime geographyLeap yearMemoryMomentSystem timeTempus fugitTime capsuleTime immemorialTime travelTime measurementOrders of magnitudeMetrologyCoordinated Universal TimeoffsetInternational Earth Rotation and Reference Systems ServiceISO 31-1ISO 8601International Atomic TimeBarycentric Coordinate TimeBarycentric Dynamical TimeCivil timeGeocentric Coordinate TimeInternational Date LineIERS Reference MeridianLeap secondSolar timeTerrestrial Time180th meridianEphemeris timeGreenwich Mean TimePrime meridianTime in physicsContinuous signalCosmological decadeDiscrete time and continuous timeTime-translation symmetryT-symmetryHorologyAtomic clockComplicationHistory of timekeeping devicesMarine chronometerMarine sandglassRadio clockWater clockDialing scalesEquation of timeHistory of sundialsSundial markup schemaCalendarHoloceneDominical letterEquinoxIntercalationJulian daySolsticeTropical yearWeekday determinationWeekday namesGeologic time scaleInternational Commission on StratigraphyGalactic yearNuclear timescaleSidereal timeunits of timeSecondMinuteFortnightOlympiadLustrumDecadeCenturySaeculumMillenniumDecimal timeMetric timeTime metrologyTime value of moneyTimekeeper