Exploring alternatives to the Hamiltonian calculation of the Ashtekar-Olmedo-Singh black hole solution

TL;DR

This paper reevaluates the Hamiltonian formulation of the Ashtekar-Olmedo-Singh black hole model, proposing a more general approach to quantum geometry parameters and analyzing its implications.

Contribution

It introduces a new Hamiltonian formalism where quantum geometry parameters are treated as true constants of motion, considering their contributions from different phase space sectors.

Findings

New Hamiltonian formalism proposed

Parameters treated as constants of motion

Reconciliation with previous results discussed

Abstract

In this article, we reexamine the derivation of the dynamical equations of the Ashtekar-Olmedo-Singh black hole model in order to determine whether it is possible to construct a Hamiltonian formalism where the parameters that regulate the introduction of quantum geometry effects are treated as true constants of motion. After arguing that these parameters should capture contributions from two distinct sectors of the phase space that had been considered independent in previous analyses in the literature, we proceed to obtain the corresponding equations of motion and analyze the consequences of this more general choice. We restrict our discussion exclusively to these dynamical issues. We also investigate whether the proposed procedure can be reconciled with the results of Ashtekar, Olmedo, and Singh, at least in some appropriate limit.