Accession Number : AD0430580

Title :   A SPINOR FORMULATION OF ELECTROMAGNETIC THEORY IN GENERAL RELATIVITY,

Corporate Author : BOSTON UNIV MASS

Personal Author(s) : Sachs,Mendel

Report Date : 31 DEC 1963

Pagination or Media Count : 22

Abstract : The spinor formulation of the Maxwell-Lorentz theory is extended yo a generally covariant formalism. The underlying group for electrodynamics is thereby generalized from the proper inhomogeneous Lorentz group Lp to a special topological group T. It follows from the physical assumptions of this theory that the group T must be locally compact, connected, and satisfy the second axiom of countability. The invariants and conservation laws of the generalized theory are derived and a correspondence of some with those of the conventional theory is demonstrated. Remaining invariants and conservation laws have no counterpart within the usual formalism. Extra terms that appear are due to the spin-affine connection field and invariants which do not conserve reflection symmetry in space and time. Within this generalized formalism, the uniqueness of earlier derived results of a generalized Lorentz covariant theory of electromagnetism is demonstrated. The Lagrangian density for the present formulation is derived and the role played by a fundamental length, inherent in the theory, is discussed. (Author)

Descriptors :   (*ELECTROMAGNETISM, *RELATIVITY THEORY), FIELD THEORY, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL INTEGRATION, THEORY, GROUPS(MATHEMATICS), ALGEBRAIC TOPOLOGY

Distribution Statement : APPROVED FOR PUBLIC RELEASE