Abstract
The MacDowellMansouri 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 MacDowellMansouri gauge algebra for both signs of the cosmological constant, in both Lorentzian and Euclidean metric signatures.
Original language  English 

Article number  032501 
Number of pages  14 
Journal  Journal of Mathematical Physics 
Volume  55 
Issue number  3 
Early online date  10 Mar 2014 
DOIs  
Publication status  Published  Mar 2014 
Keywords
 general relativity
 conformal geometry
 MacDowellMansouri gravity
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Profiles

Charles Wang
Person: Academic