The Theoretical Significance of Experimental RelativityPt. I. Null experiments. Eörvös experiment -- Space isotropies -- The ether drift experiments -- pt. II. Three famous tests of general relativity. The gravitational red shift -- The gravitational deflection of light -- The perihelion rotation of Mercury -- Cosmic experiments -- Appendix I. Experimental tests of Mach's principle -- Appendix II. Mach's principle and invariance under transformation of units -- Appendix III. Long-range scalar interaction -- Appendix IV. Field theories of gravitation -- Appendix V. Cosmology, Mach's principle and relativity -- Appendix VI. Significance of spatial isotropy -- Appendix VII. Mach's principle and a relativistic theory of gravitation -- Appendix VIII. Lee-Yang vector field and isotropy of the universe -- Appendix IX. The earth and cosmology -- Appendix X. Implications for cosmology of stellar and galactic evolution rates -- Appendix XI. Dating the galaxy by uranium decay -- Appendix XII. Dirac's cosmology and the dating of meteorites. |
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Page 49
... covariant equations . But is this sufficient ? The answer is an unqualified no ! If one were to introduce subjective geometrical concepts in a generally covariant way . this would be just as dangerous . For example , one could make the ...
... covariant equations . But is this sufficient ? The answer is an unqualified no ! If one were to introduce subjective geometrical concepts in a generally covariant way . this would be just as dangerous . For example , one could make the ...
Page 50
... covariant form , and they will contain no ele- ments referring to the space except the arbitrary coordinate system ... covariant vectors must be con- sidered separately , as there is no procedure for lowering or raising indices . A varia ...
... covariant form , and they will contain no ele- ments referring to the space except the arbitrary coordinate system ... covariant vectors must be con- sidered separately , as there is no procedure for lowering or raising indices . A varia ...
Page 84
... covariant d'Alembertian divergence of p‚i : ( 9 ) is defined to be the covariant 1 оф = p ' ' ; i = ( — g ) -1/2 [ ( − g ) 1 / 2p , i ] , i . - - ( 10 ) From the form of equation ( 9 ) , it is evident that R and the Lagrangian density ...
... covariant d'Alembertian divergence of p‚i : ( 9 ) is defined to be the covariant 1 оф = p ' ' ; i = ( — g ) -1/2 [ ( − g ) 1 / 2p , i ] , i . - - ( 10 ) From the form of equation ( 9 ) , it is evident that R and the Lagrangian density ...
Contents
of Gravitation | 1 |
A Theory of Gravitation Based on a Scalar Field | 16 |
A Weak Field Approximation | 30 |
Copyright | |
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The Theoretical Significance of Experimental Relativity Robert Henry Dicke No preview available - 1964 |
Common terms and phrases
anisotropy Appendix arbitrary assumed assumption atom boson cent cloud considered convection coordinate system cosmology coupling constant covariant curvature decrease dependent dimensionless discussed distant matter earth effects Einstein's Einstein's field equation electromagnetic elementary particles energy Eötvös experiment equations of motion equivalence principle Euler equation evolutionary age expansion field equations fine structure constant function galactic galaxy geodesic globular clusters gravitational acceleration gravitational constant gravitational coupling constant gravitational field halo population heat heavy element Hubble age hydrogen inertial forces invariant isotropy laboratory Lee-Yang luminosity Mach's principle magnetic field main sequence mantle mass distribution measure metric tensor noted null observations obtained perihelion rotation photon Phys physical possible problem R. H. Dicke radius red shift relativistic relativity result scalar field scalar interaction space stars stellar surface temperature tensor field term tion transformation of units universe uranium variational principle vary vector field velocity