Einstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity

dc.creatorCantcheff, Marcelo Botta
dc.date2007-12-29
dc.date2008-07-18
dc.date.accessioned2026-07-07T11:39:44Z
dc.date.available2026-07-07T11:39:44Z
dc.descriptionWe consider a modification of the standard Einstein theory in four dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012 (2003), since it is based on the first-order (Einstein-Cartan) approach to General Relativity, whose gauge structure is manifest. This is done by introducing an additional topological term in the action which becomes a Lorentz-violating term by virtue of the dependence of the coupling on the space-time point. We obtain a condition on the solutions of the Einstein equations, such that they persist in the deformed theory, and show that the solutions remarkably correspond to the classical solutions of a collection of independent 2+1-d (topological) Chern-Simons gravities. Finally, we study the relation with the standard second-order approach and argue that they both coincide to leading order in the modulus of the Lorentz-violating vector field.
dc.descriptionFinal version
dc.identifierhttps://arxiv.org/abs/0801.0067
dc.identifierhttp://arxiv.org/abs/0801.0067
dc.identifierPhys.Rev.D78:025002,2008
dc.identifierdoi:10.1103/PhysRevD.78.025002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200031
dc.subjectHigh Energy Physics - Theory
dc.titleEinstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity
dc.typetext

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