Classical tests on a charged Weyl black hole: bending of light, Shapiro delay and Sagnac effect

Abstract

In this paper, we apply the classical test of general relativity on a charged Weyl black hole, whose exterior geometry is defined by altering the spherically symmetric solutions of Weyl conformal theory of gravity. The tests are basically founded on scrutinizing the angular geodesics of light rays propagating in the gravitating system caused by the black hole. In this investigation, we bring detailed discussions about the bending of light, together with two other relativistic effects, known as the Shapiro and the Sagnac effects. We show that the results are in good conformity with the general relativistic effects, besides giving long-distance corrections caused by the cosmological nature of the background geometry under study.

arXiv comment14 pages, 11 figures

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• Gravitational Rutherford scattering of electrically charged particles from a charged Weyl black hole
• Ergosphere, photon region structure, and the shadow of a rotating charged Weyl black hole
• Motion of massive particles around a charged Weyl black hole and the geodetic precession of orbiting gyroscopes
• Orbits of particles with magnetic dipole moment around magnetized Schwarzschild black holes: Applications to S2 star orbit
• Chaotic dynamics of string around the conformal black hole
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
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• Null geodesics around a black hole with weakly coupled global monopole charge