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

A bstract 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-dime...

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Bibliographic Details
Published in:The journal of high energy physics 2024-05, Vol.2024 (5), p.160-17, Article 160
Main Authors: Avilés, L., Díaz, J., Peñafiel, D.M., Orozco, V.C., Salgado, P.
Format: Article
Language:English
Subjects:
Algebra
Chern-Simons Theories
Classical and Quantum Gravitation
Classical Theories of Gravity
Elementary Particles
Gravity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Spacetime
String Theory
Tensors
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Summary:A bstract 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 4 D 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP05(2024)160