2014/03/01 by James A. Reid, Charles H.-T. Wang · 2 citations
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories
paper · doi:10.1063/1.4867337
openalex publication_date 2014/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
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.