Frequency shifts of photons emitted from geodesics of nonlinear electromagnetic black holes
L. A. López1a and J. C. Olvera2
1 Área Académica de Matemáticas y Física, UAEH, carretera Pachuca-Tulancingo km 4.5, C.P. 42184, Mineral de la Reforma, Hidalgo, Mexico
2 Dpto de Física, Centro de Investigación y de Estudios Avanzados del I.P.N, 14-740, Apdo, DF, Mexico
a lalopez@uaeh.edu.mx
Published online: 9 January 2021
We analyzed the frequency shifts of photons emitted from massive particles that move in stable geodesics around black holes with nonlinear electrodynamics. The motion of the photon is modified by an effective metric when the Einstein gravity is coupled with nonlinear electrodynamics. The kinematic shifts for photons are modified by the magnetic and electric factors that make the difference between the linear and nonlinear electrodynamics. As an illustration, we present the frequency shifts of the photons for black holes with nonlinear electrodynamics, two magnetic black holes, and two electric black holes, the Bardeen and Bronnikov black holes for the magnetic charge and the Born–Infeld and Dymnikova black holes for electric charge. These frequency shifts are compared with their linear electromagnetic counterpart.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
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