Gravitational lensing by Reissner-Nordström black holes with topological defects

Abstract

Using a new geometrical approach introduced by Gibbons and Werner we study the deflection angle by Reissner-Nordström black holes in the background spacetimes with a global monopole and a cosmic string. By calculating the corresponding optical Gaussian curvature and applying the Gauss-Bonnet theorem to the optical metric we find the leading terms of the deflection angle in the weak limit approximation. We find that the deflection angle increases due to the presence of topological defects.

8 pages, revised version, accepted for publication in Astrophysics and Space Science

References in corpus (2)

• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry

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