Research Program in Relativity Physics [by] H. Bondi
Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force, 1966 - Relativity (Physics) - 472 pages
(1) Gravitational radiation. In this field a massive advance can be reported. A full understanding of the asymptotic character of space-time far from the source of the radiation was obtained. With this has come a complete understanding of the initial value problem, with conditions set on a forward light-cone. Understanding of the nature of infinity in this field was materially advanced by using methods akin to those of projective geometry. (2) Epistomological foundations. Comparison of associated theories greatly clarified understanding of the distinguishing features of general relativity. (3) High gravitational potentials. The maximum red shift that can occur on the surface of a static sphere is now fully understood in relation to the physical conditions prescribed for the interior. (4) Slowly changing fields. A start was on the understanding of the significance of the conservation laws in slowly changing systems, and the way is beginning to be open for a full understanding of energy transfer in such cases. (5) Special solutions. A good deal of understanding was gained of a number of special solutions, e.g. some relating to those discovered by Harrison, to rotating bodies, to space-times associated with bounded empty regions, etc. (Author).
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algebraically special approximation arbitrary asymptotic behaviour Bianchi identities Bondi boundary conditions coefficients complex components cone conformally flat considered const constant contraction coordinate system coordinate-system corresponding covariant curvature tensor defined denotes density derivatives determined differentiation discussed distance Ehlers Einstein electromagnetic energy equivalent expansion field equations finite follows function geodesic rays geometry given gravitational field gravitational radiation gravitational waves Hence hypersurface implies independent indices infinity integral invariant J-spaces linear Lorentz mass method metric tensor motion Newtonian null geodesic obtained orthogonal outgoing radiation parameter particles Penrose Petrov classification Petrov type Phys physical Pirani Proc propagation properties radiation field relation relativity Ricci Ricci identity Ricci tensor Riemann tensor rotation Sachs satisfied scalar curvature Schwarzschild shear-free solution space space-time sphere spherically symmetric spinor static synthemes tangent tetrad theorem theory transformation Trautman vanish variables vector velocity wave equation Weyl tensor zero