Lie-algebra expansions, Chern–Simons theories and the Einstein–Hilbert Lagrangian

datacite.alternateIdentifier.issn0370-2693
datacite.creatorEdelstein, J.D.
datacite.creatorHassaine, M.
datacite.creatorTroncoso, R.
datacite.creatorZanelli, J.
datacite.date.issued2006
datacite.titleLie-algebra expansions, Chern–Simons theories and the Einstein–Hilbert Lagrangianen
dc.date.accessioned2007-12-05T21:47:45Z
dc.date.available2007-12-05T21:47:45Z
dc.descriptionHassaine, M. Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile.en
dc.description.abstractStarting from gravity as a Chern–Simons action for the AdS algebra in five dimensions, it is possible to modify the theory through an expansion of the Lie algebra that leads to a system consisting of the Einstein–Hilbert action plus non-minimally coupled matter. The modified system is gauge invariant under the Poincaré group enlarged by an Abelian ideal. Although the resulting action naively looks like general relativity plus corrections due to matter sources, it is shown that the non-minimal couplings produce a radical departure from GR. Indeed, the dynamics is not continuously connected to the one obtained from Einstein–Hilbert action. In a matter-free configuration and in the torsionless sector, the field equations are too strong a restriction on the geometry as the metric must satisfy both the Einstein and pure Gauss–Bonnet equations. In particular, the five-dimensional Schwarzschild geometry fails to be a solution; however, configurations corresponding to a brane-world with positive cosmological constant on the worldsheet are admissible when one of the matter fields is switched on. These results can be extended to higher odd dimensions.en
dc.format.extent2941 bytes
dc.format.mimetypetext/html
dc.identifier.citationPhysics Letters B 640 (5-6): 278-284en
dc.identifier.urihttps://repositorio.utalca.cl/repositorio/handle/1950/4121
dc.languageen
dc.publisherElsevier B.V.en
oaire.resourceTypeArtículoen
utalca.indexArtículo de publicación ISI
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