Orbits of light rays in (1+2)-dimensional Einstein-power-Maxwell gravity: Exact analytical solution to the null geodesic equations
General Relativity and Quantum Cosmology
2022-07-13 v1
Abstract
We study photon orbits within (1+2)-dimensional Einstein-power-Maxwell non-linear electrodynamics assuming a static and circularly symmetric background. An exact analytical solution to the null geodesic equations for light rays is obtained in terms of the Weierstra{\ss} function. We investigate in detail the impact of the photon energy, the electric charge of the black hole, and the integration constant (initial condition) on the shape of the orbits.
Keywords
Cite
@article{arxiv.2206.03437,
title = {Orbits of light rays in (1+2)-dimensional Einstein-power-Maxwell gravity: Exact analytical solution to the null geodesic equations},
author = {Grigoris Panotopoulos and Angel Rincon},
journal= {arXiv preprint arXiv:2206.03437},
year = {2022}
}
Comments
8 pages, 4 figures, to appear in Annals of Physics. arXiv admin note: text overlap with arXiv:2104.13611