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

TL;DR

This paper investigates classical tests of general relativity, such as light bending, Shapiro delay, and Sagnac effect, in the context of a charged Weyl black hole, revealing results consistent with GR but with additional long-distance corrections.

Contribution

It applies classical relativistic tests to a charged Weyl black hole, extending understanding of gravitational effects in Weyl conformal gravity.

Findings

Results align with general relativity predictions.

Long-distance corrections due to cosmological background.

Detailed analysis of light geodesics in Weyl black hole geometry.

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.