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 paper 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 Inönü-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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Acknowledgments
The authors wish to thanks Stephanie Caro, Sebastian Salgado, Cristian Vera, for enlightening discussions. P.S. was supported by Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT, Chile) through Grants #1180681 and #1211219. DMP acknowledges financial support from the Chilean government through Fondecyt grants Grant #11240533. L.A. was supported by Fondecyt grant #3220805. VCO was supported by Universidad de Concepción, Chile and JD was supported by Universidad Arturo Prat, Chile.
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Avilés, L., Díaz, J., Peñafiel, D. et al. Einstein gravity with generalized cosmological term from five-dimensional AdS-Maxwell-Chern-Simons gravity. J. High Energ. Phys. 2024, 160 (2024). https://doi.org/10.1007/JHEP05(2024)160
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DOI: https://doi.org/10.1007/JHEP05(2024)160