TY - JOUR

T1 - Orbits of light rays in (1＋2)-dimensional Einstein–power–Maxwell gravity

T2 - Exact analytical solution to the null geodesic equations

AU - Panotopoulos, Grigoris

AU - Rincón, Ángel

N1 - Funding Information:
A. R. is funded by the María Zambrano contract ZAMBRANO21-25 (Spain).
Publisher Copyright:
© 2022 The Authors

PY - 2022/8

Y1 - 2022/8

N2 - 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.

AB - 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.

KW - (1＋2) dimensions

KW - Einstein–Power–Maxwell gravity

KW - Exact analytical solution

KW - Gravity

KW - Null geodesic equations

KW - Weierstraß function

UR - http://www.scopus.com/inward/record.url?scp=85132317125&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2022.168947

DO - 10.1016/j.aop.2022.168947

M3 - Article

AN - SCOPUS:85132317125

VL - 443

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

M1 - 168947

ER -