Orbits of light rays in (1+2)-dimensional Einstein-power-Maxwell gravity: Exact analytical solution to the null geodesic equations

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 Weierstraß 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.

arXiv comment8 pages, 4 figures, to appear in Annals of Physics. arXiv admin note: text overlap with arXiv:2104.13611

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• Hairy Kiselev Black Hole Solutions
• Quasinormal Modes and Optical Properties of 4-D black holes in Einstein Power-Yang-Mills Gravity
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Scalar field instabilities in charged BTZ black holes
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Black Holes with Abelian and Non-Abelian Charges and Their Impact on Matter Accretion Flows
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity