https://doi.org/10.1140/epjc/s10052-023-11448-4
Regular Article - Theoretical Physics
Echoes of black holes in Einstein-nonlinear electrodynamic theories
1
College of Education for the Future, Beijing Normal University, 519087, Zhuhai, China
2
Department of Physics, Beijing Normal University, 100875, Beijing, China
3
Department of Physics, Jiangxi Normal University, 330022, Nanchang, China
4
Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
5
Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, 730000, Lanzhou, China
Received:
26
January
2023
Accepted:
24
March
2023
Published online:
12
April
2023
Black hole echo is an important observable that can help us better understand gravitational theories. The non-linear electrodynamic black holes can admit multi-horizon, and the destruction of outer horizons does not violate the weak cosmic censorship, which leads to the multi-peak effective potential for the scalar perturbations and give rise to the echoes. Putting the initial wave packet released outside the peaks, we find that the time-domain profile of the echo will split when the peaks of the effective potential change from two to three. This is a distinctive phenomenon of black hole echo and it might be possible to determine the geometric structure of the non-linear electrodynamic black hole. We also analyse the properties of echo produced by different kinds of effective potentials.
© The Author(s) 2023
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