Published April 1980 | Version v1
Journal article

Gauge field theory of spacetime based on the de Sitter group

Creators

  • 1. Department of Mathematics, University of Newcastle, NSW, Australia

Description

A new theory of spacetime is proposed in which translations are considered as a part of the de Sitter gauge group. The theory is built along the general principles of classical gauge field theories, which are outlined. Applications of gauge principles to linear and affine connections are also given in order to make the presentation self-sufficient. A de Sitter invariant Lagrangian is constructed, which yields approximately Einstein's vacuum equations when it is subjected to variation with respect to gauge potentials and the result expressed in a specific gauge class. As a difference from the usual use of de Sitter groups, the radi us of its translations must be small in the present approach, which probally has the meaning of an elementary subatomic length. The solution of the equations describing flat spacetime is not the trivial zero-curvature connection of the conventional approach

Additional details

Publishing Information

Journal Title
Found. Phys.
Journal Volume
10
Journal Issue
3
Series
Found. Phys.
Journal Page Range
267-280

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
11555860
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DE SITTER GROUP; EINSTEIN FIELD EQUATIONS; FIELD THEORIES; GAUGE INVARIANCE; LAGRANGIAN FUNCTION; SPACE-TIME
Descriptors DEC
EQUATIONS; FIELD EQUATIONS; FUNCTIONS; INVARIANCE PRINCIPLES; LIE GROUPS; SYMMETRY GROUPS