Are nonsingular black holes with super-Planckian hair ruled out by S2 star data?. (arXiv:2211.11585v2 [gr-qc] UPDATED)

Are nonsingular black holes with super-Planckian hair ruled out by S2 star data?. (arXiv:2211.11585v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Cadoni_M/0/1/0/all/0/1">M. Cadoni</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Laurentis_M/0/1/0/all/0/1">M. De Laurentis</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Martino_I/0/1/0/all/0/1">I. De Martino</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Monica_R/0/1/0/all/0/1">R. Della Monica</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Oi_M/0/1/0/all/0/1">M. Oi</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Sanna_A/0/1/0/all/0/1">A. P. Sanna</a>

We propose a novel nonsingular black-hole spacetime representing a strong
deformation of the Schwarzschild solution with mass $M$ by an additional hair
$ell$, which may be hierarchically larger than the Planck scale. Our
black-hole model presents a de Sitter core and $mathcal{O}(ell^2/r^2)$
slow-decaying corrections to the Schwarzschild solution. Our black-hole
solutions are thermodynamically preferred when $0.2 lesssim ell/GM lesssim
, 0.3$ 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 $ell$. We test our model
using the available data for the orbits of the S2 star around $text{SgrA}^*$.
These data strongly constrain the value of the hair $ell$, casting an upper
bound on it of $sim , 0.47 , GM$, but do not rule out the possible existence
of regular black holes with super-Planckian hair.

We propose a novel nonsingular black-hole spacetime representing a strong
deformation of the Schwarzschild solution with mass $M$ by an additional hair
$ell$, which may be hierarchically larger than the Planck scale. Our
black-hole model presents a de Sitter core and $mathcal{O}(ell^2/r^2)$
slow-decaying corrections to the Schwarzschild solution. Our black-hole
solutions are thermodynamically preferred when $0.2 lesssim ell/GM lesssim
, 0.3$ 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 $ell$. We test our model
using the available data for the orbits of the S2 star around $text{SgrA}^*$.
These data strongly constrain the value of the hair $ell$, casting an upper
bound on it of $sim , 0.47 , GM$, but do not rule out the possible existence
of regular black holes with super-Planckian hair.

http://arxiv.org/icons/sfx.gif