Eur. Phys. J. C (2018) 78: 853
https://doi.org/10.1140/epjc/s10052-018-6328-5

Regular Article - Theoretical Physics

Null paths on a toroidal topological black hole in conformal Weyl gravity

¹ Instituto de Física y Astronomía, Universidad de Valparaíso, Avenida Gran Bretaña 1111, Playa Ancha, Valparaíso, Chile
² Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla, 298–V, Santiago, Chile

^* e-mail: jose.villanueva@uv.cl

Received: 13 August 2018
Accepted: 9 October 2018
Published online: 23 October 2018

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.