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Lorentz-breaking effects in scalar-tensor theories of gravity

V. B. Bezerra1,*, C. N. Ferreira2,†, and J. A. Helayël-Neto3,‡

  • 1Departamento de Física, Universidade Federal da Paraíba, 58059-970, João Pessoa, PB, Brazil
  • 2Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21945-910, Rio de Janeiro, RJ, Brazil
  • 3Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca 22290-180, Rio de Janeiro, RJ, Brazil

  • *Electronic address: valdir@fisica.ufpb.br
  • †Electronic address: crisnfer@if.ufrj.br
  • ‡Electronic address: helayel@cbpf.br
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Phys. Rev. D 71, 044018 – Published 14 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.044018

Abstract

In this work, we study the effects of breaking Lorentz symmetry in scalar-tensor theories of gravity taking torsion into account. We show that a space-time with torsion interacting with a Maxwell field by means of a Chern-Simons-like term is able to explain the optical activity in synchrotron radiation emitted by cosmological distant radio sources. Without specifying the source of the dilaton-gravity, we study the dilaton-solution. We analyze the physical implications of this result in the Jordan-Fierz frame. We also analyze the effects of the Lorentz-breaking in the cosmic string formation process. We obtain the solution corresponding to a cosmic string in the presence of torsion by keeping track of the effects of the Chern-Simons coupling and calculate the charge induced on this cosmic string in this framework. We also show that the resulting charged cosmic string yields important effects concerning the background radiation. The optical activity in this case is also worked out and discussed.

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Phys. Rev. D 71, 044018– Published 14 February, 2005
  • Received 26 May 2004

© 2005 American Physical Society

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