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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