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arXiv · 1405.7078

Generalized Poincare algebras and Lovelock-Cartan gravity theory

P. K. Concha·D. M. Peñafiel·E. K. Rodríguez·P. Salgado
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Abstract

We show that the Lagrangian for Lovelock-Cartan gravity theory can be re-formulated as an action which leads to General Relativity in a certain limit. In odd dimensions the Lagrangian leads to a Chern-Simons theory invariant under the generalized Poincaré algebra $\mathfrak{B}_{2n+1},$ while in even dimensions the Lagrangian leads to a Born-Infeld theory invariant under a subalgebra of the $\mathfrak{B}_{2n+1}$ algebra. It is also shown that torsion may occur explicitly in the Lagrangian leading to new torsional Lagrangians, which are related to the Chern-Pontryagin character for the $B_{2n+1}$ group.

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P. K. Concha, D. M. Peñafiel, E. K. Rodríguez, P. Salgado. 2015-01-21. Generalized Poincare algebras and Lovelock-Cartan gravity theory. https://doi.org/10.1016/j.physletb.2015.01.038

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