Revisiting quantum black holes from effective loop quantum gravity. (arXiv:2311.10166v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Ongole_G/0/1/0/all/0/1">Geeth Ongole</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Singh_P/0/1/0/all/0/1">Parampreet Singh</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Wang_A/0/1/0/all/0/1">Anzhong Wang</a>
We systematically study a family of loop quantizations for the classical
Kruskal spacetimes using the effective description motivated from loop quantum
gravity for four generic parameters, $c_o, m, delta_b$ and $delta_c$, where
the latter two denote the polymerization parameters which capture the
underlying quantum geometry. We focus on the family where polymerization
parameters are constant on dynamical trajectories, and of which the
Ashtekar-Olmedo-Singh (AOS) and Corichi-Singh (CS) models appear as special
cases. We study general features of singularity resolution in all these models
due to quantum gravity effects and analytically extend the solutions across the
white hole (WH) and black hole (BH) horizons to the exterior. We find that the
leading term in the asymptotic expansion of the Kretschmann scalar is $r^{-4}$.
However, for AOS and CS models black holes with masses greater than solar mass
the dominant term behaves as $r^{-6}$ for the size of the observable universe
and {our analysis can be used to phenomenologically constrain the choice of
parameters for other models.} In addition, one can uniquely fix the parameter
$c_o$ by requiring that the Hawking temperature at the BH horizon to the
leading order be consistent with its classical value for a macroscopic BH.
Assuming that the BH and WH masses are of the same order, we are able to
identify a family of choices of $delta_b$ and $delta_c$ which share all the
desired properties of the AOS model.
We systematically study a family of loop quantizations for the classical
Kruskal spacetimes using the effective description motivated from loop quantum
gravity for four generic parameters, $c_o, m, delta_b$ and $delta_c$, where
the latter two denote the polymerization parameters which capture the
underlying quantum geometry. We focus on the family where polymerization
parameters are constant on dynamical trajectories, and of which the
Ashtekar-Olmedo-Singh (AOS) and Corichi-Singh (CS) models appear as special
cases. We study general features of singularity resolution in all these models
due to quantum gravity effects and analytically extend the solutions across the
white hole (WH) and black hole (BH) horizons to the exterior. We find that the
leading term in the asymptotic expansion of the Kretschmann scalar is $r^{-4}$.
However, for AOS and CS models black holes with masses greater than solar mass
the dominant term behaves as $r^{-6}$ for the size of the observable universe
and {our analysis can be used to phenomenologically constrain the choice of
parameters for other models.} In addition, one can uniquely fix the parameter
$c_o$ by requiring that the Hawking temperature at the BH horizon to the
leading order be consistent with its classical value for a macroscopic BH.
Assuming that the BH and WH masses are of the same order, we are able to
identify a family of choices of $delta_b$ and $delta_c$ which share all the
desired properties of the AOS model.
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