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- W2075662054 abstract "Using an algebraic condition of vanishing discriminant for multiple roots of fourth-degree polynomials, we derive an analytical expression of a shadow size as a function of a charge in the Reissner-Nordstrom (RN) metric [1,2]. We consider shadows for negative tidal charges and charges corresponding to naked singularities $q={mathcal{Q}}^{2}/{M}^{2}>1$, where $mathcal{Q}$ and $M$ are black hole charge and mass, respectively, with the derived expression. An introduction of a negative tidal charge $q$ can describe black hole solutions in theories with extra dimensions, so following the approach we consider an opportunity to extend the RN metric to negative ${mathcal{Q}}^{2}$, while for the standard RN metric ${mathcal{Q}}^{2}$ is always non-negative. We found that for $q>9/8$, black hole shadows disappear. Significant tidal charges $q=ensuremath{-}6.4$ (suggested by Bin-Nun [3--5]) are not consistent with observations of a minimal spot size at the Galactic Center observed in mm-band; moreover, these observations demonstrate that a Reissner-Nordstrom black hole with a significant charge $qensuremath{approx}1$ provides a better fit of recent observational data for the black hole at the Galactic Center in comparison with the Schwarzschild black hole." @default.
- W2075662054 created "2016-06-24" @default.
- W2075662054 creator A5041380045 @default.
- W2075662054 date "2014-09-09" @default.
- W2075662054 modified "2023-10-12" @default.
- W2075662054 title "Constraints on a charge in the Reissner-Nordström metric for the black hole at the Galactic Center" @default.
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