Phys. Rev. D 101, 044018 (2020) - Motion and trajectories of photons in a three-dimensional rotating Ho\ifmmode \check{r}\else \v{r}\fi{}ava-AdS black hole

Motion and trajectories of photons in a three-dimensional rotating Hořava-AdS black hole

P. A. González, Marco Olivares, Eleftherios Papantonopoulos, and Yerko Vásquez

Phys. Rev. D 101, 044018 – Published 11 February 2020

Abstract

We study the motion of photons in the background of a three-dimensional rotating Hořava-AdS black hole that corresponds to a Lorentz-violating version of the Bañados-Teitelboim-Zanelliblack hole, and we analyze the effect of the breaking of Lorentz invariance on the null geodesics structure, by solving analytically the equations of motion. Mainly we find that, through a fine-tuning of the parameters of the theory, new kinds of orbits are allowed, such as unstable circular orbits and trajectories of the first kind. Also, we show that an external observer will see that photons arrive at spatial infinity in a finite coordinate time.

Received 3 December 2019
Accepted 21 January 2020

DOI:https://doi.org/10.1103/PhysRevD.101.044018

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Alternative gravity theories Gravity in dimensions other than four

Classical black holes

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

P. A. González^*

Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile

Marco Olivares^†

Facultad de Ingeniería y Ciencias, Universidad Diego Portales, Avenida Ejército Libertador 441, Casilla 298-V, Santiago, Chile

Eleftherios Papantonopoulos^‡

Department of Physics, National Technical University of Athens, Zografou Campus GR 157 73, Athens, Greece

Yerko Vásquez ^§

Departamento de Física, Facultad de Ciencias, Universidad de La Serena, Avenida Cisternas 1200, La Serena, Chile

^*pablo.gonzalez@udp.cl
^†marco.olivaresr@mail.udp.cl
^‡lpapa@central.ntua.gr
^§yvasquez@userena.cl

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Vol. 101, Iss. 4 — 15 February 2020

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