Abstract
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 Qm and the structural parameter k 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 Qm has a significant impact on the radius of the orbit, angular momentum, and the E-L space. A larger value of k weakens this effect and makes it degenerate with the Schwarzschild BH. In addition, an increase in Qm or a decrease in k 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.
Published Version
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