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| Format: | Preprint |
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2026
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| Online-Zugang: | https://arxiv.org/abs/2601.06491 |
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| _version_ | 1866911660124405760 |
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| author | Qi, Qi Sang, Yu Kuang, Xiao-Mei |
| author_facet | Qi, Qi Sang, Yu Kuang, Xiao-Mei |
| contents | 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 $1σ$ confidence level, respectively. These constraints are about three orders of magnitude tighter than those from Event Horizon Telescope imaging of Sgr~A*. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06491 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole Qi, Qi Sang, Yu Kuang, Xiao-Mei General Relativity and Quantum Cosmology 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 $1σ$ confidence level, respectively. These constraints are about three orders of magnitude tighter than those from Event Horizon Telescope imaging of Sgr~A*. |
| title | Probing a Lorentz-violating parameter from orbital precession of the S2 star around the galactic centre supermassive black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2601.06491 |