Accession Number : AD0620458

Title :   THE ENERGY MECHANICS OF SEMISTATIC SPACETIMES,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Edelen,Dominic G. B.

Report Date : SEP 1965

Pagination or Media Count : 37

Abstract : A unique characterization of 4-dimensional, hyperbolic normal metric, or semistatic spaces, E, is given in terms of the admissible forms of the metric tensor. If the Einstein field equations are assumed to hold in E, the most general form of the momentum-energy tensor that supports a semistatic energy mechanics is obtained. It is shown that all cosmological line elements previously considered are conformally equivalent to a semistatic space in which the metric tensor on the hypersurfaces orthogonal to a time-oriented normal congruence in E, K, is Euclidean. All physical quantities can be determined in terms of the metric and curvature of the hypersurfaces orthogonal to K and one additional function of all four coordinates. These determinations are exhibited and provide a means whereby the hypersurface geometry is uniquely determinable in terms of the projection of the momentum-energy tensor onto the hypersurface. The treatment concludes with the study of a semistatic perfect fluid. (Author)

Descriptors :   (*MECHANICS, TENSOR ANALYSIS), (*RELATIVITY THEORY, MECHANICS), ENERGY, TIME, GRAVITY, FIELD THEORY, TOPOLOGY, GEODESICS, STATICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE