English

Gravitational lensing by a Lorentz-violating black hole

General Relativity and Quantum Cosmology 2025-11-21 v3

Abstract

In this work, we study the gravitational lensing by a Lorentz-violating (LV) black hole inspired by the recent contribution [1]. Explicitly, we concentrate on a specific application: we perform the computation of gravitational lensing effects under the strong field limit. In particular, we analytically derive the deflection angle so that the lens equation can also be addressed. This methodological approach yields physically measurable outcomes, including the determination of relativistic image positions and their corresponding magnifications. As an application of this methodology, we consider the gravitational lensing by Sagittarius A{}^* and obtain the corresponding observables expressed as functions of the LV parameter.

Keywords

Cite

@article{arxiv.2404.04176,
  title  = {Gravitational lensing by a Lorentz-violating black hole},
  author = {A. A. Araújo Filho and J. R. Nascimento and A. Yu. Petrov and P. J. Porfírio},
  journal= {arXiv preprint arXiv:2404.04176},
  year   = {2025}
}

Comments

22 pages, minor corrections, references added -- version accepted for publication in EPJPLUS

R2 v1 2026-06-28T15:45:16.194Z