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Title: Conformal holonomy in MacDowell-Mansouri gravity

The MacDowell-Mansouri formulation of general relativity is based on a gauge theory whose gauge algebra depends on the sign of the cosmological constant. In this article, we show that the gauge algebra is uniquely determined by the conformal structure of spacetime itself. Specifically, we show that in vacuum: the spacetime conformal holonomy algebra coincides with the MacDowell-Mansouri gauge algebra for both signs of the cosmological constant, in both Lorentzian and Euclidean metric signatures.
Authors:
 [1] ;  [1] ;  [2]
  1. SUPA Department of Physics, University of Aberdeen, Aberdeen, AB24 3UE (United Kingdom)
  2. (United Kingdom)
Publication Date:
OSTI Identifier:
22251117
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; COSMOLOGICAL CONSTANT; EUCLIDEAN SPACE; GAUGE INVARIANCE; GENERAL RELATIVITY THEORY; GRAVITATION; SPACE-TIME