Non-minimally coupled Einstein-Yang-Mills black holes: periodic orbits and gravitational wave radiation in extreme mass ratio systems

Xiuqin He; Zhaoyi Xu; Meirong Tang

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arXiv · 2603.07610

Non-minimally coupled Einstein-Yang-Mills black holes: periodic orbits and gravitational wave radiation in extreme mass ratio systems

Xiuqin He·Zhaoyi Xu·Meirong Tang

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Abstract

Extreme mass ratio inspirals (EMRIs), as a core target for future space-based gravitational wave detection, offer crucial observational grounds for testing strong-field gravitational theories and classifying black holes through their orbital dynamics and gravitational wave radiation characteristics. This study systematically investigates the periodic orbit characteristics and gravitational wave radiation properties of EMRIs in the spacetime of a non-minimally coupled Einstein-Yang-Mills (EYM) black hole. The results show that as the magnetic charge parameter $Q$ and the non-minimal coupling constant $ξ$ increase, the radii of the marginally bound orbit ($r_{\text{MBO}}$) and the innermost stable circular orbit ($r_{\text{ISCO}}$) decrease significantly, with corresponding reductions in the orbital energy $E$ and angular momentum $L$. Furthermore, the allowable parameter space of energy and angular momentum ($E$-$L$) for bound orbits shifts towards the left. We then plot typical periodic orbits through orbit classification, finding that the non-minimal coupling effect suppresses the orbital contraction induced by the magnetic charge, leading to degeneracy of orbits with different $Q$ values towards the Schwarzschild case, as well as phase shifts, amplitude enhancement, and period shortening in the gravitational waveforms with increasing $Q$ and $ξ$. These results provide theoretical predictions for distinguishing different black hole models through future gravitational wave observations.

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Xiuqin He, Zhaoyi Xu, Meirong Tang. 2026-03-08. Non-minimally coupled Einstein-Yang-Mills black holes: periodic orbits and gravitational wave radiation in extreme mass ratio systems. https://arxiv.org/abs/2603.07610

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