Constraints on tidal charge of the supermassive black hole at the Galactic Center with trajectories of bright stars

Abstract

As it was pointed out recently in Hees et al. (2017), observations of stars near the Galactic Center with current and future facilities provide an unique tool to test general relativity (GR) and alternative theories of gravity in a strong gravitational field regime. In particular, the authors showed that the Yukawa gravity could be constrained with Keck and TMT observations. Some time ago, Dadhich et al. (2001) showed that the Reissner -- Nordström metric with a tidal charge is naturally appeared in the framework of Randall -- Sundrum model with an extra dimension ($Q^2$ is called tidal charge and it could be negative in such an approach). Astrophysical consequences of of presence of black holes with a tidal charge are considerered, in particular, geodesics and shadows in Kerr -- Newman braneworld metric are analyzed in (Schee and Stuchlik, 2009a), while profiles of emission lines generated by rings orbiting braneworld Kerr black hole are considered in (Schee and Stuchlik, 2009b). Possible observational signatures of gravitational lensing in a presence of the Reissner -- Nordström black hole with a tidal charge at the Galactic Center are discussed in papers by Bin-Nun (2010a, 2010b, 2011). Here we are following such an approach and we obtain analytical expressions for orbital precession for Reissner -- Nordstrom -- de-Sitter solution in post-Newtonian approximation and discuss opportunities to constrain parameters of the metric from observations of bright stars with current and future astrometric observational facilities such as VLT, Keck, GRAVITY, E-ELT and TMT.

9 pages, references were added, minor typos were corrected

References in corpus (16)

• Event-horizon-scale structure in the supermassive black hole candidate at the Galactic Centre
• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• New parametrization for spherically symmetric black holes in metric theories of gravity
• Solar system effects in Schwarzschild--de Sitter spacetime
• Profiles of emission lines generated by rings orbiting braneworld Kerr black holes
• Orbital precession due to central-force perturbations
• Solar and stellar system tests of the cosmological constant
• Constraints on $R^n$ gravity from precession of orbits of S2-like stars
• Apoastron Shift Constraints on Dark Matter Distribution at the Galactic Center
• Is there a Supermassive Black Hole at the Center of the Milky Way?
• Two-body problem with the cosmological constant and observational constraints
• Constraining the range of Yukawa gravity interaction from S2 star orbits III: improvement expectations for graviton mass bounds
• Constraints on $R^n$ gravity from precession of orbits of S2-like stars: a case of a bulk distribution of mass
• Strong Gravitational Lensing by Sgr A*
• The black hole at the Galactic Center: observations and models
• Seeing the unseeable

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