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arXiv · 1605.00325

Einstein-Hilbert action with cosmological term from Chern-Simons gravity

N. L. González Albornoz·P. Salgado·G. Rubio·S. Salgado
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Abstract

We propose a modification to the Lie algebra $S$-expansion method. The modification is carried out by imposing a condition on the $S$-expansion procedure, when the semigroup is given by a cyclic group of even order. The $S$-expanded algebras are called $S_{H}$-expanded algebras where $S=Z_{2n}$. The invariant tensors for $S_{H}$-expanded algebras are calculated and the dual formulation of $S_{H}$-expansion procedure is proposed. We consider the $S_{H}$-expansion of the five-dimensional $AdS$ algebra and its corresponding invariants tensors are found. Then a Chern-Simons Lagrangian invariant under the five-dimensional $AdS$ algebra $S_{H}$-expanded is constructed and its relationship to the general relativity is studied.

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N. L. González Albornoz, P. Salgado, G. Rubio, S. Salgado. 2016-05-02. Einstein-Hilbert action with cosmological term from Chern-Simons gravity. https://doi.org/10.1016/j.geomphys.2014.08.013

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