https://doi.org/10.1140/epjc/s10052-025-13767-0
Regular Article - Theoretical Physics
Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
College of Physics, Guizhou University, 550025, Guiyang, China
Received:
8
November
2024
Accepted:
22
December
2024
Published online:
20
January
2025
For a short hair black hole(BH) that bypasses the “no-short-hair” theorem, its hair parameters have a significant impact near the event horizon and may thus carry the internal information of the BH. This paper studies the influence of the hair parameter and the structural parameter
of the short hair BH on the periodic orbits of particles and gravitational wave radiation in the extreme mass ratio(EMR) system. The research results show that
has a significant impact on the radius of the orbit, angular momentum, and the
space. A larger value of
weakens this effect and makes it degenerate with the Schwarzschild BH. In addition, an increase in
or a decrease in
will lead to a reduction in the period of gravitational waves and a significant enhancement of the signal amplitude. These results provide new observational means for distinguishing short hair BH from classical BH and also offer new insights for verifying the no-hair theorem and understanding the physical behaviors near the event horizon.
© The Author(s) 2025
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