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020 _a9781621001072
_q(electronic bk.)
020 _z9781621000037
035 _a(MiAaPQ)EBC3021888
035 _a(Au-PeEL)EBL3021888
035 _a(CaPaEBR)ebr10686211
035 _a(OCoLC)831664551
040 _aMiAaPQ
_beng
_erda
_epn
_cMiAaPQ
_dMiAaPQ
050 4 _aQC173.6 -- .B467 2012eb
082 0 _a530.11
100 1 _aBerman, Marcelo Samuel.
245 1 0 _aGeneral Relativity and the Pioneers Anomaly.
250 _a1st ed.
264 1 _aHauppauge :
_bNova Science Publishers, Incorporated,
_c2012.
264 4 _c©2012.
300 _a1 online resource (221 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aPhysics Research and Technology
505 0 _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.
505 8 _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.
505 8 _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.
505 8 _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.
588 _aDescription based on publisher supplied metadata and other sources.
590 _aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 0 _aGeneral relativity (Physics).
650 0 _aAcceleration (Mechanics).
650 0 _aRelativistic quantum theory.
655 4 _aElectronic books.
776 0 8 _iPrint version:
_aBerman, Marcelo Samuel
_tGeneral Relativity and the Pioneers Anomaly
_dHauppauge : Nova Science Publishers, Incorporated,c2012
_z9781621000037
797 2 _aProQuest (Firm)
830 0 _aPhysics Research and Technology
856 4 0 _uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3021888
_zClick to View
999 _c61405
_d61405