LEADER 07925nam 2200637 a 450 001 9910812527603321 005 20240410172916.0 010 $a1-62100-107-5 035 $a(CKB)2550000001043908 035 $a(EBL)3021888 035 $a(SSID)ssj0000874930 035 $a(PQKBManifestationID)12301696 035 $a(PQKBTitleCode)TC0000874930 035 $a(PQKBWorkID)10887390 035 $a(PQKB)11269093 035 $a(MiAaPQ)EBC3021888 035 $a(Au-PeEL)EBL3021888 035 $a(CaPaEBR)ebr10686211 035 $a(OCoLC)831664551 035 $a(EXLCZ)992550000001043908 100 $a20110815d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeneral relativity and the pioneers anomaly$b[electronic resource] /$fMarcelo Samuel Berman 205 $a1st ed. 210 $aNew York $cNova Science Publishers$dc2012 215 $a1 online resource (221 p.) 225 1 $aPhysics research and technology 225 1 $aMathematics research developments 300 $aDescription based upon print version of record. 311 $a1-62100-003-6 320 $aIncludes bibliographical references (p. [181]-200) and index. 327 $aIntro -- GENERAL RELATIVITY AND THE PIONEERS ANOMALY -- GENERAL RELATIVITY AND THE PIONEERS ANOMALY -- Contents -- Preface and Introduction -- Part I MATHEMATICAL PRELIMINARIES -- Tensors in Amorphous Spaces -- 1.1.Introduction -- 1.2.VectorsandTensors -- ContravariantVectors -- ContravariantTensorsof2NDRank -- CovariantVectors -- CovariantTensorsof2ndRank -- MixedTensors -- SolvedProblem -- 1.3.AlgebraicOperationswithTensors -- ExteriorProduct -- Contraction -- InteriorProduct -- TestsofTensorCharacter -- 1.4.FinalObservations -- ReferencesforChapter1 -- Tensors in Riemann Spaces -- 2.1.Metric -- ContravariantMetricTensor -- 2.2.ChristoffelSymbols -- 2.3.CovariantDerivative -- 2.4.CurvatureTensors -- RicciTensor -- RicciScalarCurvature -- Einstein'sTensor -- GeodesicCoordinateSystem -- BianchiIdentity -- ReferencesforFurtherStudy -- Part II INTRODUCTION TO GENERAL RELATIVITY -- Basic Theory -- 3.1.TheBasicPrinciples -- 3.2.Energy-MomentumTensor -- 1st)ContinuityEquation. -- 2nd)Euler'sequation. -- 3.3.TijfortheElectromagneticField -- 3.4.Einstein'sFieldEquations -- 3.5.IntroducingtheCosmologicalConstant -- 3.6.ReductionofGRTintoNewtonianPhysics -- 3.7.TheGeodesicsEquation-aDerivation -- 3.8.GravitationalRadiation -- Schwarzschild's Metric and Classical Experimental Tests -- 4.1.SphericallySymmetricMetrics -- 4.2.TheMotionofPlanetsandPerihelionPrecession -- 4.3.PropagationofLightnearGravitationalFields -- 4.4.SpectralDisplacementduetoGravitationalCause -- 4.5.OtherVerificationsoftheGRT -- 1st)Gravitomagnetismandgalacticrotations -- 2nd)Hafele-Keatingexperiment: -- 3rd)Shapiroexperiment: -- 4th)Hulse-Taylorobservations: -- 5th)GlobalPositioningSystem(GPS)-NAVSTAR: -- FinalComments -- Complements of Tensor Calculus and General Relativity (Optional Study) -- 5.1.OrthogonalTransformationsandCartesianTensors -- CartesianTensors. 327 $a5.2.ParallelTransportinRiemannSpace -- 5.3.Fermi-Walker'sTransport -- 5.4.LieDerivative -- 5.5.Isometries -- 5.6.StationaryandStaticFields -- StaticField -- MathematicalNote. -- Part III INTRODUCTION TO RELATIVISTIC COSMOLOGY -- Digression into Philosophical and Mathematical Matters (Optional Study) -- 6.1.NewtonianConceptsofSpaceandTime -- 6.2.ObjectionstoNewton'sCosmology -- 6.3.Mach'sPrinciple -- 6.4.ThePotentialforGravitation -- 6.5.EquivalencePrinciple -- 6.6.Theprinciplesof(General)Relativity,Covariance,andSimplicity -- 6.7.Principlesof"cosmictime"and"correspondence" -- FinalObservations: -- 6.8.RevisitingMach'sPrinciple -- Introductory Cosmological Models -- 7.1.DerivationoftheHomogeneousandIsotropicMetric -- 7.2.Einstein'sFieldEquationsforCosmology -- 7.3.ConstantDecelerationParameterModels -- 7.4.CosmologicalRed-Shift -- 7.5.Hubble'sLaw -- 7.6.CosmologicalModelforLargeLambda -- 7.7.Inflation -- 7.8.Planck'sUniverseandtheL-problem -- 7.9.Raychaudhuri'sEquationandanAlternativeForm -- 7.10.GeodesicsforPhotons,Particles,andTachyonsinRobertson-Walker'sCosmology -- IntroductiontotheProblem -- NullGeodesics -- GeodesicsforParticlesandTachyonsinaflatUniverse -- 7.11.EnergyofRobertson-Walker'sUniverse -- 7.12.TheZero-TotalEnergyDensityoftheUniverse -- 7.13.TheCosmologicalNewtonianLimitofGeneralRelativity -- Part IV THE PIONEERS ANOMALY -- The Pioneers Anomaly and a Machian Universe -- 8.1.BriefHistoryofthePioneersAnomaly -- 8.2.TheZero-TotalEnergyMachianUniverse -- APPLICATION1-THEPIONEERSANOMALIES -- APPLICATION2-MAGNETICFIELDOFTHEUNIVERSE -- APPLICATION3-TIME-VARYINGNEUTRINOMASS -- Atheoryforneutrinosenergydensity -- APPLICATION4-AREMASSANDLENGTHQUANTIZED? -- Macromassandmicromass -- Quantizationofgeometry -- RemovalofinitialsingularityinCosmology -- 8.3.Dirac'sLNHwithTime-VaryingFundamental"Constants" -- POWER-LAWVARIATIONS -- EXPONENTIALINFLATION. 327 $aROTATIONOFTHEUNIVERSE -- PROSANDCONSOFTHEPRESENTCALCULATIONS -- 8.4.OnSciama'sMachianOriginofInertia -- SCIAMA'SINERTIAMODEL -- GRANEAUANDGRANEAU'STHEORY -- 8.5.Sciama'sMachianUniverse -- ONBERRY'SMACHIANARGUMENT -- GRAVITATIONALRADIATIONINSCIAMA'SMACHIANMODEL -- QUADRUPOLEANDDIPOLERADIATION -- TEMPERATUREOFTHEUNIVERSE.ENTROPY -- CONCLUSIONS -- 8.6.ExactBrans-DickeRelationandVariableSpeedofLight -- PIONEERSANOMALYSOLUTION -- CONCLUSIONS -- Relativistic Cosmology and the Pioneers Anomaly -- 9.1.GeneralisedRobertson-Walker'sMetric:RotationPlusEx-pansion -- ZERO-TOTALENERGY-DENSITYOFTHEROTATINGEVOLUTIONARYUNIVERSE -- 9.2.GeneralisedRobertson-Walker'sMetric:RotationPlusEx-pansion-II -- ROTATINGEVOLUTIONARYMETRICS -- GENERALISEDGAUSSIANMETRICS -- SOMECOMMENTS -- 9.3.ThePioneersAnomalyandaMachianGeneralRelativisticModel -- ENERGYOFTHEROTATINGEVOLUTIONARYUNIVERSE -- ANALTERNATIVEDERIVATION -- PIONEERSANOMALYREVISITED -- SOMECOMMENTSANDDISCUSSION -- 9.4.GeneralRelativisticCosmologicalModelswithPioneersAnomaly -- ANEXACTSOLUTIONTOTHEPIONEERSANOMALY -- CONCLUSIONS -- 9.5.TheFundamentalTheoremforthePioneersAnomalySo-lutioninGeneralRelativity -- 9.6.ThePioneersAnomalySolutionwithUniversalSpinCon-servationinGeneralRelativity -- The Pioneers Anomaly and Several Relativistic Theories -- 10.1.OnSchwarzschild'sandRobertson-Walker´sModels -- CLASSICALORIGINFORTHEDARKENERGY -- CONCLUSIONSANDPREDICTIONS -- 10.2.LinearizedGravitomagnetismandPioneersAnomaly -- GENERALRELATIVISTICLINEARPERTURBATIONAPPROACH -- ENERGYDENSITYOFTHEROTATINGUNIVERSE -- 10.3.ThePioneersAnomalyinaVariableSpeedofLightRela-tivisticCosmology -- FIELDEQUATIONSANDCONSTANTDECELERATIONSOLUTION -- PIONEERSANOMALYSOLUTION -- 10.4.EnergyandStabilityofOurUniverse -- THEZERO-TOTALENERGYOFTHEROTATINGEVOLUTIONARYUNI-VERSE -- STABILITYOFOURUNIVERSE -- 10.5.Frame-Dragging,Mach.sPrinciple,andthePioneersAnomalies. 327 $a10.6.GravitationalLarmorTheoremandthePioneersAnomaly -- Possible Solutions to the Pioneers Anomaly -- 11.1.EvidenceontheRotationoftheUniverse -- 11.2.ThermalEmissionasDecelerationCause -- 11.3.MOND(ModifiedNewtonianDynamics)byMilgrom -- 11.4.OtherExplanations -- 11.5.ConcludingRemarks -- Part V BIBLIOGRAPHY AND REFERENCES -- Bibliography and References -- INDEX. 410 0$aPhysics research and technology. 410 0$aMathematics research developments series. 606 $aGeneral relativity (Physics) 606 $aAcceleration (Mechanics) 606 $aRelativistic quantum theory 615 0$aGeneral relativity (Physics) 615 0$aAcceleration (Mechanics) 615 0$aRelativistic quantum theory. 676 $a530.11 700 $aBerman$b Marcelo Samuel$01600951 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910812527603321 996 $aGeneral relativity and the pioneers anomaly$94120959 997 $aUNINA