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arXiv · 2208.06113

Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity

L. Avilés·J. Diaz·D. M. Penafiel·V. C. Orozco·P. Salgado
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Abstract

Some time ago, the standard geometric framework of Einstein gravity was extended by gauging the Maxwell algebra as well as the so called AdS-Maxwell algebra. In this letter it is shown that the actions for these four-dimensional extended Einstein gravities can be obtained from the five-dimensional Chern-Simons gravities actions by using the Randall-Sundrum compactification procedure. It is found that the In\"on\"u-Wigner contraction procedure, in the Weimar-Woods sense, can be used both to obtain the Maxwell-Chern-Simons action from the AdS-Maxwell-Chern-Simons action and to obtain the Maxwell extension of Einstein gravity in 4D from the four-dimensional extended AdS-Maxwell-Einstein-Hilbert action. It is also shown that the extended four-dimensional gravities belongs to the Horndeski family of scalar-tensor theories.

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L. Avilés, J. Diaz, D. M. Penafiel, V. C. Orozco, P. Salgado. 2022-08-12. Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity. https://arxiv.org/abs/2208.06113

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