Constraints on a tidal charge of the supermassive black hole in M87* with the EHT observations in April 2017


Abstract in English

Slightly more than two years ago the Event Horizon Telescope (EHT) team presented the first image reconstruction around shadow for the supermassive black hole in centre of M87. It gives an opportunity to evaluate the shadow size. Recently, the EHT team constrained parameters (charges) of spherical symmetrical metrics of black holes from an estimated allowed interval for shadow radius from observations of M87*. In our papers we obtained analytical expressions for shadow radius as a function of charge (including a tidal one) in the case of the case of Reissner -- Nordstrom metric. Some time ago Bin-Nun proposed to apply Reissner -- Nordstrom metric with a tidal charge as an alternative to the Schwarzschild metric in Sgr A*. If we assume that Reissner -- Nordstrom black hole with a tidal charge exists in M87*, therefore, based on results of shadow evaluation for M87* done by the EHT team we constrain a tidal charge. Similarly, we evaluate a tidal charge from shadow size estimates for Sgr A*.

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