Gravitational wave signatures of periodic orbits around a Schwarzschild-like black hole

Abstract

We investigate how deviations from the Schwarzschild geometry affect the motion of massive test particles and the gravitational radiation associated with their periodic trajectories around a new improved Schwarzschild black hole. Periodic configurations are determined by examining the commensurability of the radial and azimuthal orbital frequencies. For representative trajectories, we numerically reconstruct the particle motion and calculate corresponding gravitational wave polarizations using the symmetric trace-free mass-quadrupole approach. By comparing these signals with their Schwarzschild counterparts, we assess how the modified spacetime geometry is encoded in the radiation. Our analysis shows that the parameters ξ and γ produce modest changes in the orbital configurations and their associated waveforms, providing a means of investigating the dynamical signatures of this BH model.

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BibTeX

@misc{alloqulov2026gravitational,
  title = {{Gravitational wave signatures of periodic orbits around a Schwarzschild-like black hole}},
  author = {Mirzabek Alloqulov and Sanjar Shaymatov and Bobomurat Ahmedov and Chengxun Yuan},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37525},
  eprint = {2610.37525},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37525},
}

RIS

TY  - UNPB
TI  - Gravitational wave signatures of periodic orbits around a Schwarzschild-like black hole
AU  - Mirzabek Alloqulov
AU  - Sanjar Shaymatov
AU  - Bobomurat Ahmedov
AU  - Chengxun Yuan
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37525
UR  - https://arxiv.org/abs/2610.37525
AB  - We investigate how deviations from the Schwarzschild geometry affect the motion of massive test particles and the gravitational radiation associated with their periodic trajectories around a new improved Schwarzschild black hole. Periodic configurations are determined by examining the commensurability of the radial and azimuthal orbital frequencies. For representative trajectories, we numerically reconstruct the particle motion and calculate corresponding gravitational wave polarizations using the symmetric trace-free mass-quadrupole approach. By comparing these signals with their Schwarzschild counterparts, we assess how the modified spacetime geometry is encoded in the radiation. Our analysis shows that the parameters ξ and γ produce modest changes in the orbital configurations and their associated waveforms, providing a means of investigating the dynamical signatures of this BH model.
ER  -

Abstract

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