LEADER 08534nam 2200673 a 450 001 9910962138603321 005 20251116181931.0 010 $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(BIP)35435273 035 $a(BIP)35435271 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 /$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 $aDescription based upon print version of record. 311 08$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. 330 $aThis book is an introduction to the General Relativity Theory (GRT) and to the solution of the Pioneers Anomaly by means of relativistic cosmology, a study that is designed to be understood by undergraduate and graduate students alike in the fields of theoretical physics, applied mathematics and space engineering. In fact, this book is the first elementary account of GRT and cosmology to address the NASA problem, which consists of a specific deceleration suffered by two space-probes launched to outer space more than thirty years ago. (Imprint: Nova) 410 0$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$01862756 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962138603321 996 $aGeneral relativity and the pioneers anomaly$94475018 997 $aUNINA