Motion of massive particles around a charged Weyl black hole and the geodetic precession of orbiting gyroscopes

TL;DR

This paper investigates the motion of massive particles and the geodetic precession around a charged Weyl black hole, providing insights into Weyl's gravity theory through classical tests and geodesic analysis.

Contribution

It presents the geodesic structure for massive particles and analyzes the geodetic precession in a charged Weyl black hole, offering new tests for Weyl's gravity theory.

Findings

Geodesic structure for massive particles is fully characterized.

Classical geodetic precession test applied to Weyl black hole.

Constraints on Weyl gravity parameters derived from precession analysis.

Abstract

The advanced state of cosmological observations constantly tests the alternative theories of gravity that originate from Einstein's theory. However, this is not restricted to modifications to general relativity. In this sense, we work in the context of Weyl's theory, more specifically, on a particular black hole solution for a charged massive source, which is confronted with the classical test of the geodetic precession, to obtain information about the parameters associated with this theory. To fully assess this spacetime, the complete geodesic structure for massive test particles is presented.