Accession Number : AD0637151

Title :   COVARIANT NOETHER IDENTITIES IN COVARIANT FIELD THEORIES,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : RAY,John R.

Report Date : JUL 1966

Pagination or Media Count : 15

Abstract : In covariant field theories such as general relativity the application of Noether's theorem results in a set of identities which are satisfied regardless of whether the field equations are satisfied or not (so-called strong conservation laws). In the conventional formulation these identities contain non-tensorial quantities and non-tensorial operations. Thus, for example, the energy-momentum-pseudo-tensor of general relativity is obtained from such formulations. In this paper the identities arising from Noether's theorem are written in an obviously covariant form containing only tensors and covariant derivatives. As an example we give these identities for general relativity. (Author)

Descriptors :   (*IDENTITIES, *FIELD THEORY), RELATIVITY THEORY, TENSOR ANALYSIS, DIFFERENTIAL GEOMETRY

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE