Accession Number : AD0776126

Title :   Instability of Closed Spaces in General Relativity,

Corporate Author : BRANDEIS UNIV WALTHAM MASS DEPT OF PHYSICS

Personal Author(s) : Brill,Dieter R. ; Deser,Stanley

Report Date : 07 MAR 1973

Pagination or Media Count : 16

Abstract : There are strong restrictions on the solutions of the initial value constraints of General Relativity when the spatial hypersurface is closed. In particular, closed flat space is unstable: not all solutions of the linearized constraints correspond to nearby solutions of the constraints themselves. For example, no nearby solutions whatever exist which are time symmetric. Other restrictions, which limit perturbations of non-flat closed initial solutions, are also exhibited. (Author)

Descriptors :   *Relativity theory, *Field theory, Tensor analysis, Potential theory, Vector spaces

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE