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

Marcelo Botta Cantcheff
Phys. Rev. D 78, 025002 – Published 2 July 2008

Abstract

We 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-dimensional (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.

  • Received 4 January 2008

DOI:https://doi.org/10.1103/PhysRevD.78.025002

©2008 American Physical Society

Authors & Affiliations

Marcelo Botta Cantcheff*

  • Instituto de Fisica La Plata, CONICET, UNLP CC 67, Calles 49 y 115, 1900 La Plata, Buenos Aires, Argentina

  • *botta@cbpf.br botta@fisica.unlp.edu.ar

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Issue

Vol. 78, Iss. 2 — 15 July 2008

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