Equatorial periodic orbits and gravitational waveforms in a black hole free of Cauchy horizon

• Published in: Journal of cosmology and astroparticle physics Vol. 2025; no. 7; pp. 21 - 50
• Main Authors: Wang, Chao-Hui, Meng, Xiang-Cheng, Zhang, Yu-Peng, Zhu, Tao, Wei, Shao-Wen
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.07.2025
• Subjects: Angular momentum; Circular orbits; Constraints; GR black holes; Gravitational waves; Gravitational waves in GR and beyond: theory; Hair; Orbits; Parameters; Supermassive black holes; Waveforms

In this paper, we study the periodic orbits and gravitational wave radiation in an extreme mass ratio inspiral system, where a stellar-mass object orbits a supermassive black hole without Cauchy horizons. Firstly, by using the effective potential, the marginally bound orbits and the innermost stable...