Null paths on a toroidal topological black hole in conformalWeyl gravity

Abstract

The motion of massless particles on the background of a toroidal topological black hole is analyzed in the context of conformal Weyl gravity. Null geodesics, in terms of the Jacobi elliptic functions, are found analytically. In addition, the Sagnac effect in this space-time is characterized, and we find a strong condition in the theory's parameters that is required for its existence.

arXiv comment8 pages, 7 figures

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• Classical tests on a charged Weyl black hole: bending of light, Shapiro delay and Sagnac effect
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• Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
• Inhomogeneous spacetimes in Weyl integrable geometry with matter source
• Null geodesics in five-dimensional Reissner-Nordström anti-de Sitter black hole
• Stability and consistent interactions in Podolsky's generalized electrodynamics
• The role of elliptic integrals in calculating the gravitational lensing of a charged Weyl black hole surrounded by plasma
• Light propagation around a Kerr-like black hole immersed in an inhomogeneous anisotropic plasma in Rastall gravity: Analytical solutions to the equations of motion