Generalized Poincaré algebras and Lovelock–Cartan gravity theory

Generalized Poincaré algebras and Lovelock–Cartan gravity theory

We show that the Lagrangian for Lovelock–Cartan gravity theory can be reformulated 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 B2n+1, while in even dimensions the L...

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Main Authors: P.K. Concha, D.M. Peñafiel, E.K. Rodríguez, P. Salgado
Format: Article
Language:English
Published: Elsevier 2015-03-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315000489
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spelling doaj-5ec986e08ae54f9bae75a67efd41bb532020-11-25T00:53:42ZengElsevierPhysics Letters B0370-26932015-03-01742310316Generalized Poincaré algebras and Lovelock–Cartan gravity theoryP.K. Concha0D.M. Peñafiel1E.K. Rodríguez2P. Salgado3Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileDepartamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileDepartamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileCorresponding author.; Departamento de Física, Universidad de Concepción, Casilla 160-C, Concepción, ChileWe show that the Lagrangian for Lovelock–Cartan gravity theory can be reformulated 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 B2n+1, while in even dimensions the Lagrangian leads to a Born–Infeld theory invariant under a subalgebra of the B2n+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 B2n+1 group.http://www.sciencedirect.com/science/article/pii/S0370269315000489
collection DOAJ
language English
format Article
sources DOAJ
author P.K. Concha
D.M. Peñafiel
E.K. Rodríguez
P. Salgado
spellingShingle P.K. Concha
D.M. Peñafiel
E.K. Rodríguez
P. Salgado
Generalized Poincaré algebras and Lovelock–Cartan gravity theory
Physics Letters B
author_facet P.K. Concha
D.M. Peñafiel
E.K. Rodríguez
P. Salgado
author_sort P.K. Concha
title Generalized Poincaré algebras and Lovelock–Cartan gravity theory
title_short Generalized Poincaré algebras and Lovelock–Cartan gravity theory
title_full Generalized Poincaré algebras and Lovelock–Cartan gravity theory
title_fullStr Generalized Poincaré algebras and Lovelock–Cartan gravity theory
title_full_unstemmed Generalized Poincaré algebras and Lovelock–Cartan gravity theory
title_sort generalized poincaré algebras and lovelock–cartan gravity theory
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2015-03-01
description We show that the Lagrangian for Lovelock–Cartan gravity theory can be reformulated 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 B2n+1, while in even dimensions the Lagrangian leads to a Born–Infeld theory invariant under a subalgebra of the B2n+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 B2n+1 group.
url http://www.sciencedirect.com/science/article/pii/S0370269315000489
work_keys_str_mv AT pkconcha generalizedpoincarealgebrasandlovelockcartangravitytheory
AT dmpenafiel generalizedpoincarealgebrasandlovelockcartangravitytheory
AT ekrodriguez generalizedpoincarealgebrasandlovelockcartangravitytheory
AT psalgado generalizedpoincarealgebrasandlovelockcartangravitytheory
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