Gravitation: An Introduction to Current ResearchLouis Witten Experiments on gravitation / Bruno Bertotti, Dieter Brill, and Robert Krotkov -- Exact solutions of the gravitational field equations / Jürgen Ehlers and Wolfgang Kundt -- The equations of motion / Joshua N. Goldberg -- The Cauchy problem / Yvonne Bruhat -- Conservation laws in general relativity / Andrzej Trautman -- Gravitational radiation / F.A.E. Pirani -- The dynamics of general relativity / R. Arnowitt, S. Deser, and C.W. Misner -- The quantization of geometry / Bryce S. DeWitt -- A geometric theory of the electromagnetic and gravitational fields / Louis Witten -- Geometrodynamics / John G. Fletcher -- Relativistic cosmology / O. Heckmann and E. Schücking. |
Contents
Experiments on Gravitation | 1 |
Exact Solutions of the Gravitational Field Equations | 49 |
The Equations of Motion | 102 |
Copyright | |
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algebraic approximation arbitrary Bianchi identities bivector classical clocks components congruence conservation laws const constant coordinate conditions coordinate system covariant curvature defined denote density derivatives determined differential discussed dynamical equations Einstein electromagnetic field energy equations of motion field equations finite G₁ geodesic geometrical geometrodynamics given gravitational field gravitational radiation Green's functions Hamiltonian hypersurface identities inertial Infeld initial integral interval intrinsic coordinate invariant Lagrangian linear Lorentz manifold mass Maxwell's equations measurement method metric tensor momentum null observed obtained orthogonal parameter particle Phys physical Poisson bracket problem propagation properties quantities quantization quantum radiation rays relativistic relativity respect Ricci Ricci tensor Riemann tensor Riemannian rotation satisfied scalar Section solution space space-like space-time spatial static surface surface integrals symmetric test body theorem time-like tion uncertainty vacuum field vanishes variables variation vector velocity wave Weyl tensor αβ μν