Constraints on metric-affine gravity black holes from the stellar motion at the Galactic Center

Abstract

We consider a static, spherically symmetric space-time with an electric field arising from a quadratic metric-affine extension of General Relativity. Such a space-time is free of singularities in the centre of the black holes, while at large distances it quickly boils down to the usual Reissner-Nordström solution. We probe this space-time metric, which is uniquely characterized by two length scales, $r_q$ and $\ell$, using the astrometric and spectroscopic measurements of the orbital motion of the S2 star around the Galactic Center. Our analysis constrains $r_q$ to be below $2.7M$ for values $\ell <120AU$, strongly favouring a central object that resembles a Schwarzschild black hole.

arXiv comment11 pages, 5 figures, 1 table

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