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.
Highlights
Classical physics description of falling particles in gravitational fields, has formed the foundations of general relativity
Beside Milgrom’s post Newtonian dynamics (MOND) [17] which had been formulated in the same decade, Weyl conformal gravity was proposed as an alternative to dark matter
We showed that the particles can escape the black hole region and the effective potential does not allow for planetary orbits, the test particles can be confined in circular orbits outside the event horizon
Summary
Classical physics description of falling particles in gravitational fields, has formed the foundations of general relativity. The theory, as well, is intended to cover the dark energy related phenomena [18,19] According to these interesting features, since the advent of the Mannheim–Kazanas solution, Weyl conformal gravity has been studied from several viewpoints [20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48]. We consider Weyl conformal gravity to study the behavior of geodesic motion of massive particles near a static charged black hole introduced in Ref. Further discussions and related explanations will be given in appropriate places
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