Accession Number : AD0677344

Title :   RESEARCH IN THE APPLICATION OF SPINORS AND OTHER REPRESENTATIONS OF THE LORENTZ GROUP TO GENERAL RELATIVITY.

Descriptive Note : Final rept. 1 Jun 66-31 May 68,

Corporate Author : SOUTHWEST CENTER FOR ADVANCED STUDIES DALLAS TEX

Personal Author(s) : Cahen,Michel ; Ozsvath,Istvan ; Rindler,Wolfgang ; Robinson,Ivor

Report Date : 31 MAY 1968

Pagination or Media Count : 16

Abstract : A wide class of exact solutions with rotating gravitational rays was obtained. A systematic account of exact solutions in vacuum in the presence of electromagnetic fields and in dust-like matter was largely completed. Locally isotropic spaces were studied. All three- and four-dimensional symmetric spaces were listed. Theorems about locally compact groups were established. It was proven that a global spin structure exists for a gravitational field if the second Stiefel-Whitney class of spacetime vanishes. The Lorentz group was investigated from the point of view of quaternions, bivectors and generalized cross-ratios. Work, focusing on solutions of the Boltzmann equation, was done developing a general-relativistic kinetic theory of gases. An analogy between the dynamics of the matter inside the Schwarzchild radius and the dynamical situation in the parallel gravitational field corresponding to the uniformly accelerated frame was discovered. Two further exact solutions of Einstein's field equations were found, as well as all homogeneous solutions to the combined Einstein-Lichnerowicz field equations. The kinematics and the geometry of 'the finite rotating universe' (Ozsvath-Schucking solution) were investigated. (Author)

Descriptors :   (*RELATIVITY THEORY, *GROUPS(MATHEMATICS)), FIELD THEORY, GRAVITY, WAVE PROPAGATION, TRANSFORMATIONS(MATHEMATICS), KINETIC THEORY, TENSOR ANALYSIS

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE