Einstein-Hilbert action with cosmological term from Chern-Simons gravity
| Autor: | Albornoz, N. L. González, Salgado, P., Rubio, G., Salgado, S. |
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| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.geomphys.2014.08.013 |
| Popis: | 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. Comment: 31 pages, no figures |
| Databáze: | arXiv |
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