dorsal/arxiv
View SchemaProbing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole
| Authors | Qi Qi, Yu Sang, Xiao-Mei Kuang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06491vv1 |
| URL | https://arxiv.org/abs/2601.06491 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Testing Lorentz symmetry in strong gravitational fields provides a promising probe of extensions to general relativity. The supermassive black hole Sgr~A* and the orbit of the S-stars offer a laboratory for such tests in a regime beyond weak field limit. We analyze the S2 orbital data focusing on the Schwarzschild-like black hole within bumblebee gravity, where deviations from general relativity are encoded in a single Lorentz-violating parameter $\ell$. Using a full 14-dimensional Markov Chain Monte Carlo analysis under uniform and Gaussian priors, we obtain $\ell = {-8.01 \times 10^{-5}}^{+2.77 \times 10^{-4}}_{-2.09 \times 10^{-4}} $ and $\ell = {1.00 \times 10^{-5}}^{+2.90 \times 10^{-4}}_{-2.91 \times 10^{-4}} $ at $1\sigma$ confidence level, respectively. These constraints are about three orders of magnitude tighter than those from Event Horizon Telescope imaging of Sgr~A*.
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"abstract": "Testing Lorentz symmetry in strong gravitational fields provides a promising probe of extensions to general relativity. The supermassive black hole Sgr~A* and the orbit of the S-stars offer a laboratory for such tests in a regime beyond weak field limit. We analyze the S2 orbital data focusing on the Schwarzschild-like black hole within bumblebee gravity, where deviations from general relativity are encoded in a single Lorentz-violating parameter $\\ell$. Using a full 14-dimensional Markov Chain Monte Carlo analysis under uniform and Gaussian priors, we obtain $\\ell = {-8.01 \\times 10^{-5}}^{+2.77 \\times 10^{-4}}_{-2.09 \\times 10^{-4}} $ and $\\ell = {1.00 \\times 10^{-5}}^{+2.90 \\times 10^{-4}}_{-2.91 \\times 10^{-4}} $ at $1\\sigma$ confidence level, respectively. These constraints are about three orders of magnitude tighter than those from Event Horizon Telescope imaging of Sgr~A*.",
"arxiv_id": "2601.06491",
"authors": [
"Qi Qi",
"Yu Sang",
"Xiao-Mei Kuang"
],
"categories": [
"gr-qc"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole",
"url": "https://arxiv.org/abs/2601.06491",
"version": "v1"
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