Testing charged bumblebee black holes through high-frequency quasi-periodic oscillations in X-ray binaries
Abstract
We investigate strong-field orbital dynamics for static spherically symmetric charged bumblebee black holes featuring spontaneous Lorentz-violating effects. Analysis of null and timelike circular geodesics yields the photon-sphere radius, the innermost stable circular orbit (ISCO) radius, and characteristic orbital frequencies for test particles. Within the relativistic precession model for high-frequency quasi-periodic oscillations (HFQPOs), observed twin-peak frequencies are governed by the full set of fundamental parameters M, X=r/M, l1, l2, and Q0/M. Among them, l1, l2, and Q0/M enter frequency expressions only in combined forms, giving rise to intrinsic parameter degeneracy. An effective-parameter set Θ=(M,X,C,β) is accordingly introduced to characterize these composite contributions. Bayesian MCMC parameter inference is carried out using HFQPO observational data from three black-hole X-ray binaries: GRO J1655--40, XTE J1550--564, and GRS 1915+105. The 68\% credible intervals of composite parameter C all contain the Reissner--Nordström limit C=1, revealing no statistically significant net Lorentz-violating correction under our model assumptions. Distinct triples (l1,l2,Q0/M) yield identical QPO predictions, so HFQPO observations alone cannot disentangle Lorentz-violating and charge-related effects; precise constraints on these fundamental quantities require additional, more precise observational data.
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BibTeX
@misc{liang2026testing,
title = {{Testing charged bumblebee black holes through high-frequency quasi-periodic oscillations in X-ray binaries}},
author = {Qi-Qi Liang and De-Jiang Yin and Zi-Qiang Cai and Zheng-Wen Long},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39864},
eprint = {2609.39864},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39864},
}
RIS
TY - UNPB
TI - Testing charged bumblebee black holes through high-frequency quasi-periodic oscillations in X-ray binaries
AU - Qi-Qi Liang
AU - De-Jiang Yin
AU - Zi-Qiang Cai
AU - Zheng-Wen Long
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39864
UR - https://arxiv.org/abs/2609.39864
AB - We investigate strong-field orbital dynamics for static spherically symmetric charged bumblebee black holes featuring spontaneous Lorentz-violating effects. Analysis of null and timelike circular geodesics yields the photon-sphere radius, the innermost stable circular orbit (ISCO) radius, and characteristic orbital frequencies for test particles. Within the relativistic precession model for high-frequency quasi-periodic oscillations (HFQPOs), observed twin-peak frequencies are governed by the full set of fundamental parameters M, X=r/M, l_1, l_2, and Q_0/M. Among them, l_1, l_2, and Q_0/M enter frequency expressions only in combined forms, giving rise to intrinsic parameter degeneracy. An effective-parameter set Θ=(M,X,C,β) is accordingly introduced to characterize these composite contributions. Bayesian MCMC parameter inference is carried out using HFQPO observational data from three black-hole X-ray binaries: GRO J1655--40, XTE J1550--564, and GRS 1915+105. The 68\% credible intervals of composite parameter C all contain the Reissner--Nordström limit C=1, revealing no statistically significant net Lorentz-violating correction under our model assumptions. Distinct triples (l_1,l_2,Q_0/M) yield identical QPO predictions, so HFQPO observations alone cannot disentangle Lorentz-violating and charge-related effects; precise constraints on these fundamental quantities require additional, more precise observational data.
ER -