{ "id": "2312.02486", "version": "v1", "published": "2023-12-05T04:24:35.000Z", "updated": "2023-12-05T04:24:35.000Z", "title": "Probing the vector charge of Sagittarius A* with pulsar timing", "authors": [ "Zexin Hu", "Lijing Shao", "Rui Xu", "Dicong Liang", "Zhan-Feng Mai" ], "comment": "18 pages, 6 figures", "categories": [ "astro-ph.HE", "gr-qc" ], "abstract": "Timing a pulsar orbiting around Sagittarius A* (Sgr A*) can provide us with a unique opportunity of testing gravity theories. We investigate the detectability of a vector charge carried by the Sgr A* black hole (BH) in the bumblebee gravity model with simulated future pulsar timing observations. The spacetime of a bumblebee BH introduces characteristic changes to the orbital dynamics of the pulsar and the light propagation of radio signals. Assuming a timing precision of 1 ms, our simulation shows that a 5-yr observation of a pulsar with an orbital period $P_b\\sim 0.5\\,{\\rm yr}$ and an orbital eccentricity $e\\sim 0.8$ can probe a vector charge-to-mass ratio as small as $Q/M\\sim 10^{-3}$, which is much more stringent than the current constraint from the Event Horizon Telescope (EHT) observations, and comparable to the prospective constraint from extreme mass-ratio inspirals with the Laser Interferometer Space Antenna (LISA).", "revisions": [ { "version": "v1", "updated": "2023-12-05T04:24:35.000Z" } ], "analyses": { "keywords": [ "sagittarius", "laser interferometer space antenna", "bumblebee gravity model", "vector charge-to-mass ratio", "event horizon telescope" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }