Null paths on a toroidal topological black hole in conformalWeyl gravity

TL;DR

This paper analytically studies null geodesics and the Sagnac effect around a toroidal topological black hole within conformal Weyl gravity, revealing conditions for the effect's existence based on the theory's parameters.

Contribution

It provides an analytical solution for null geodesics using Jacobi elliptic functions and characterizes the Sagnac effect in this specific black hole background.

Findings

Null geodesics are expressed analytically with Jacobi elliptic functions.

The Sagnac effect's existence depends on specific parameter conditions.

Conditions for the Sagnac effect are identified within conformal Weyl gravity.

Abstract

The motion of massless particles on the background of a toroidal topological black hole is analyzed in the context of conformal Weyl gravity. Null geodesics, in terms of the Jacobi elliptic functions, are found analytically. In addition, the Sagnac effect in this space-time is characterized, and we find a strong condition in the theory's parameters that is required for its existence.