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.

14 pages, 11 figures

References in corpus (7)

• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Anti-lensing: the bright side of voids
• Light deflection in Weyl gravity: critical distances for photon paths
• Exact gravitational lensing in conformal gravity and Schwarzschild-de Sitter spacetime
• X-ray clusters of galaxies in conformal gravity
• Astrophysical Tests of Kinematical Conformal Cosmology in Fourth-Order Conformal Weyl Gravity
• The expansion of the universe observed with supernovae

Cited by in corpus (9)

• Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
• Quasinormal Ringing and Shadows of Black Holes and Wormholes in Dark Matter-Inspired Weyl Gravity
• Quasinormal modes and Hawking radiation of a charged Weyl black hole
• Conformal Weyl gravity via two stages of quasinormal ringing and late-time behavior
• 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
• Light propagation around a Kerr-like black hole immersed in an inhomogeneous anisotropic plasma in Rastall gravity: Analytical solutions to the equations of motion
• Null geodesics around a black hole with weakly coupled global monopole charge