Do regular quantum black holes exist?

\n\nRegular black holes do not exist in any classical theory of gravity including Einstein's general relativity. This unappealing feature is due to the appearance of a singularity in the interior of the black hole described by any classical theory. As Hawking argued, all known laws of physics must break down at the singularity. It is thus an important question whether this singularity can disappear in a quantum mechanical description of spacetime. In this letter, we therefore quantize the black hole interior in a Kantowski-Sachs minisuperspace representation in the presence of spontaneous Klein-Gordon matter field fluctuations. This leads to a Wheeler-DeWitt equation whose solution yields the interior wave function of the black hole. The regular part of this wave function satisfies the DeWitt boundary condition in that it vanishes at the singularity. Moreover, the wave function is regular and well behaved in the region around the singularity. These features of the wave function suggest that regular black holes do exist in quantum gravity.\n

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Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-11-12
DOI
https://doi.org/10.1209/0295-5075/ad89f5/pdf
Primary Topic
Quantum Electrodynamics and Casimir Effect
Type
article
Field-Weighted Citation Impact
0.00

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article

Do regular quantum black holes exist?

Springer Link (Chiba Institute of Technology)
Quantum Electrodynamics and Casimir Effect
article

Do regular quantum black holes exist?

article en

Abstract

\n\nRegular black holes do not exist in any classical theory of gravity including Einstein's general relativity. This unappealing feature is due to the appearance of a singularity in the interior of the black hole described by any classical theory. As Hawking argued, all known laws of physics must break down at the singularity. It is thus an important question whether this singularity can disappear in a quantum mechanical description of spacetime. In this letter, we therefore quantize the black hole interior in a Kantowski-Sachs minisuperspace representation in the presence of spontaneous Klein-Gordon matter field fluctuations. This leads to a Wheeler-DeWitt equation whose solution yields the interior wave function of the black hole. The regular part of this wave function satisfies the DeWitt boundary condition in that it vanishes at the singularity. Moreover, the wave function is regular and well behaved in the region around the singularity. These features of the wave function suggest that regular black holes do exist in quantum gravity.\n

Springer Link (Chiba Institute of Technology)
Indian Institute of Technology Guwahati (IN)
Ministry of Education, India
Openalex Percentile: Top 75%
Quantum Electrodynamics and Casimir Effect
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Do regular quantum black holes exist? · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS