Quantum gravity predictions for black hole interior geometry
In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around a spherically symmetric geometry. We now use this effective...
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doaj-b269eeb3523d4f869f7f0e84578f39ec2020-11-24T21:50:03ZengElsevierPhysics Letters B0370-26932019-10-01797Quantum gravity predictions for black hole interior geometryEmanuele Alesci0Sina Bahrami1Daniele Pranzetti2Institute for Gravitation and the Cosmos, Pennsylvania State University, University Park, PA 16802, USAInstitute for Gravitation and the Cosmos, Pennsylvania State University, University Park, PA 16802, USAPerimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada; Corresponding author.In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around a spherically symmetric geometry. We now use this effective Hamiltonian to study the interior region of a Schwarzschild black hole, where a homogeneous foliation is available. Descending from the full theory, our effective Hamiltonian, though still bearing the well known ambiguities of the quantum Hamiltonian operator, preserves all relevant information about the fundamental discreteness of quantum space. This allows us to have a uniform treatment for all quantum gravity holonomy corrections to spatially homogeneous geometries, unlike the minisuperspace loop quantization models in which the effective Hamiltonian is postulated. We show how, for several geometrically and physically well motivated choices of coherent states, the classical black hole singularity is replaced by a homogeneous expanding Universe. The resultant geometries have no significant deviations from the classical Schwarzschild geometry in the pre-bounce sub-Planckian curvature regime, evidencing the fact that large quantum effects are avoided in these models. In all cases, we find no evidence of a white hole horizon formation. However, various aspects of the post-bounce effective geometry depend on the choice of quantum states.http://www.sciencedirect.com/science/article/pii/S0370269319306306 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Emanuele Alesci Sina Bahrami Daniele Pranzetti |
spellingShingle |
Emanuele Alesci Sina Bahrami Daniele Pranzetti Quantum gravity predictions for black hole interior geometry Physics Letters B |
author_facet |
Emanuele Alesci Sina Bahrami Daniele Pranzetti |
author_sort |
Emanuele Alesci |
title |
Quantum gravity predictions for black hole interior geometry |
title_short |
Quantum gravity predictions for black hole interior geometry |
title_full |
Quantum gravity predictions for black hole interior geometry |
title_fullStr |
Quantum gravity predictions for black hole interior geometry |
title_full_unstemmed |
Quantum gravity predictions for black hole interior geometry |
title_sort |
quantum gravity predictions for black hole interior geometry |
publisher |
Elsevier |
series |
Physics Letters B |
issn |
0370-2693 |
publishDate |
2019-10-01 |
description |
In a previous work we derived an effective Hamiltonian constraint for the Schwarzschild geometry starting from the full loop quantum gravity Hamiltonian constraint and computing its expectation value on coherent states sharply peaked around a spherically symmetric geometry. We now use this effective Hamiltonian to study the interior region of a Schwarzschild black hole, where a homogeneous foliation is available. Descending from the full theory, our effective Hamiltonian, though still bearing the well known ambiguities of the quantum Hamiltonian operator, preserves all relevant information about the fundamental discreteness of quantum space. This allows us to have a uniform treatment for all quantum gravity holonomy corrections to spatially homogeneous geometries, unlike the minisuperspace loop quantization models in which the effective Hamiltonian is postulated. We show how, for several geometrically and physically well motivated choices of coherent states, the classical black hole singularity is replaced by a homogeneous expanding Universe. The resultant geometries have no significant deviations from the classical Schwarzschild geometry in the pre-bounce sub-Planckian curvature regime, evidencing the fact that large quantum effects are avoided in these models. In all cases, we find no evidence of a white hole horizon formation. However, various aspects of the post-bounce effective geometry depend on the choice of quantum states. |
url |
http://www.sciencedirect.com/science/article/pii/S0370269319306306 |
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AT emanuelealesci quantumgravitypredictionsforblackholeinteriorgeometry AT sinabahrami quantumgravitypredictionsforblackholeinteriorgeometry AT danielepranzetti quantumgravitypredictionsforblackholeinteriorgeometry |
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