
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 6631 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 dustlike matter was largely completed. Locally isotropic spaces were studied. All three and fourdimensional 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 StiefelWhitney class of spacetime vanishes. The Lorentz group was investigated from the point of view of quaternions, bivectors and generalized crossratios. Work, focusing on solutions of the Boltzmann equation, was done developing a generalrelativistic 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 EinsteinLichnerowicz field equations. The kinematics and the geometry of 'the finite rotating universe' (OzsvathSchucking 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