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General relativity and the pioneers anomaly /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Nova Science Publishers, Inc.,
[2012]
|
| Colección: | Physics research and technology.
Mathematics research developments series. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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. ChristoffelSymbols2.3. 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 Tests4.1. 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.
- 5.2. ParallelTransportinRiemannSpace5.3. 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 Models7.1. 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.