Conformal holonomy in MacDowell-Mansouri gravity

James A. Reid, Charles H.-T. Wang

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.
Original languageEnglish
Article number032501
Number of pages14
JournalJournal of Mathematical Physics
Volume55
Issue number3
Early online date10 Mar 2014
DOIs
Publication statusPublished - 2014

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Holonomy
Gravity
algebra
gravitation
Gauge
Algebra
Cosmological Constant
Space-time
Conformal Structure
General Relativity
Gauge Theory
relativity
gauge theory
Euclidean
Vacuum
Signature
signatures
formulations
Metric
vacuum

Keywords

  • general relativity
  • conformal geometry
  • MacDowell-Mansouri gravity

Cite this

Conformal holonomy in MacDowell-Mansouri gravity. / Reid, James A.; Wang, Charles H.-T.

In: Journal of Mathematical Physics, Vol. 55, No. 3, 032501, 2014.

Research output: Contribution to journalArticle

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