We investigate a nonsingular black hole spacetime representing a strong deformation of the Schwarzschild solution with mass M by an additional hair , which may be hierarchically larger than the Planck scale. The spacetime is an exact solution of Einstein's equations sourced by an anisotropic fluid. The model presents a de Sitter core and O(²/r²) slow-decaying corrections to the Schwarzschild solution. These solutions are thermodynamically preferred when 0.2/GM0.3 and are characterized by strong deviations in the orbits of test particles from the Schwarzschild case. In particular, we find corrections to the perihelion precession angle scaling linearly with . We test our model using the available data for the orbits of the S2 star around SgrA*. These data strongly constrain the value of the hair , casting an upper bound on it of ~0.47GM but do not rule out the possible existence of regular black holes with super-Planckian hair.
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Cadoni et al. (2023) studied this question.
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