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Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system

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arxiv 2411.01979 v3 pith:ASI75CIH submitted 2024-11-04 gr-qc

Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system

classification gr-qc
keywords hairshortblackholegravitationalwaveangularbehavior
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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For a short hair black hole(BH) which circumvents the "no-short-hair" theorem, it manifests intense hair behavior in the vicinity of the event horizon, accompanied by remarkable quantum effects. These effects may carry important information about the internal structure and dynamical evolution of BHs, thereby providing a new perspective on the problem of black hole information loss. Therefore, in this paper, we analyze the influence of the hair parameter $Q_m$ and the structural parameter $k$ of the short hair BH in an extreme mass ratio(EMR) system on the periodic orbits of particles and gravitational wave radiation. The results show that as $Q_m$ increases, the radius and angular momentum of the bound orbit decrease, and the $E-L$ space shifts to the left. An increase in $k$ weakens this trend. When $k$ takes a larger value, the short hair BH and the Schwarzschild BH tend to be degenerate. Compared with the Schwarzschild BH, the bound orbit energy and angular momentum of the short hair black hole are reduced. Under the conditions of higher $Q_m$ and lower $k$, the gravitational wave period is suppressed and the signal amplitude is significantly increased. These results provide new observational means for distinguishing short hair BH from classical BH and offer new insights for verifying the no-hair theorem and understanding the physical behavior near the event horizon.

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Cited by 14 Pith papers

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