Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime

Abstract

We investigate the Lorentz symmetry breaking effects (LSBE) on the deflection of light by a rotating cosmic string spacetime in the weak limit approximation. We first calculate the deflection angle by a static cosmic string for a fixed spacelike 4-vector case (FSL) with the corresponding effective-string optical metric using the Gauss-Bonnet theorem (GBT). Then, we focus on a more general scenario, namely we calculate the deflection angle by a rotating cosmic string applying the GBT to Randers effective-string metric. We obtain a significant modification in the deflection angle because of the LSBE parameter. We find a first and second order correction terms due to the global effective topology which are proportional to the cosmic string and LSBE parameter, respectively. Finally, for a fixed time-like 4-vector (FTL) case, we show that the deflection angle is not affetced by LSBE parameter.

9 pages; Accepted for publication in Physical Review D

References in corpus (5)

• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
• Geometric quantum phases from Lorentz symmetry breaking effects in the cosmic string spacetime
• Lorentz violation and black-hole thermodynamics
• On the influence of a Rashba-type coupling induced by Lorentz-violating effects on a Landau system for a neutral particle

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