We have obtained the first constraint of the parameter space of Scalar-Tensor-Vector-Gravity using the motion of the S2-star around the supermassive black hole at the centre of the Milky Way, and we did not find any serious tension with General Relativity. We used the Schwarzschild-like metric of Scalar-Tensor-Vector-Gravity to predict the orbital motion of S2-star, and to compare it with the publicly available astrometric data, which include 145 measurements of the positions, 44 measurements of the radial velocities of S2-star along its orbit, and the recent measurement of the orbital precession. We employed a Monte Carlo Markov Chain algorithm to explore the parameter space, and constrained the only one additional parameter of Scalar-Tensor-Vector-Gravity to α≲0.410 at 99,7% confidence level, where α=0 reduces this modified theory of gravity to General Relativity.
@article{arxiv.2105.12687,
title = {Orbital precession of the S2 star in Scalar-Tensor-Vector-Gravity},
author = {Riccardo Della Monica and Ivan de Martino and Mariafelicia de Laurentis},
journal= {arXiv preprint arXiv:2105.12687},
year = {2021}
}