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PreprintarXiv licencearXiv

Periodic orbits around a magnetically charged black hole in f(R,T) gravity coupled with Euler-Heisenberg electrodynamics

Abstract

We systematically investigate the zoom-whirl periodic orbits of a small compact object orbiting a magnetically charged black hole in $f(R, T)$ gravity coupled with Euler-Heisenberg nonlinear electrodynamics. We evaluate the impact of the magnetic charge Qm and the Euler-Heisenberg parameter a on the characteristics of the innermost stable circular orbit (ISCO) and the marginally bound orbit (MBO). Particularly, we focus on the precession parameter q and systematically examine how the magnetic charge and other parameters affect the trajectories of periodic orbits. Using the numerical kludge method, we generate gravitational waveforms for these periodic orbits. The results presented in our work demonstrate that the magnetic charge can significantly modify not only the precession parameter but also the orbital trajectories of the periodic orbits. Moreover, changing the magnetic charge Qm could cause a significant phase shift in the gravitational waveforms, while other parameters exert a relatively weaker influence on the gravitational waves.

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BibTeX
@misc{huang2026periodic,
  title = {{Periodic orbits around a magnetically charged black hole in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics}},
  author = {Jun-Long Huang and Chen-Kai Qiao and Jun Tao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.30049},
  eprint = {2608.30049},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.30049},
}
RIS
TY  - UNPB
TI  - Periodic orbits around a magnetically charged black hole in f(R,T) gravity coupled with Euler-Heisenberg electrodynamics
AU  - Jun-Long Huang
AU  - Chen-Kai Qiao
AU  - Jun Tao
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2608.30049
UR  - https://arxiv.org/abs/2608.30049
AB  - We systematically investigate the zoom-whirl periodic orbits of a small compact object orbiting a magnetically charged black hole in $f(R, T)$ gravity coupled with Euler-Heisenberg nonlinear electrodynamics. We evaluate the impact of the magnetic charge Q_m and the Euler-Heisenberg parameter a on the characteristics of the innermost stable circular orbit (ISCO) and the marginally bound orbit (MBO). Particularly, we focus on the precession parameter q and systematically examine how the magnetic charge and other parameters affect the trajectories of periodic orbits. Using the numerical kludge method, we generate gravitational waveforms for these periodic orbits. The results presented in our work demonstrate that the magnetic charge can significantly modify not only the precession parameter but also the orbital trajectories of the periodic orbits. Moreover, changing the magnetic charge Q_m could cause a significant phase shift in the gravitational waveforms, while other parameters exert a relatively weaker influence on the gravitational waves.
ER  -