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arXiv · 2010.12515

Comments on the symmetry breaking condition in MacDowell-Mansouri action

I. Díaz-Saldaña·M. Sabido·J. C. López-Domínguez·J. E. Rosales-Quintero
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Abstract

In this work we study the symmetry breaking conditions, given by a (anti)de Sitter-valued vector field, of a full (anti)de Sitter-invariant MacDowell-Mansouri inspired action. We show that under these conditions the action breaks down to General Relativity with a cosmological constant, the four dimensional topological invariants, as well as the Holst term. We obtain the equations of motion of this action, and analyze the symmetry breaking conditions.

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I. Díaz-Saldaña, M. Sabido, J. C. López-Domínguez, J. E. Rosales-Quintero. 2020-10-23. Comments on the symmetry breaking condition in MacDowell-Mansouri action. https://doi.org/10.1142/s0218271821500656

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