Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations

Fuente: arXiv
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Autor principal: Smit, Jan
Formato: Preprint
Publicado: 2023
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author Smit, Jan
author_facet Smit, Jan
contents We report on an old computation of propagators of massless scalar fields on an ensemble of configurations in 4D Euclidean dynamical triangulations in the collapsed (crumpled) phase. The resulting quantum average is used to construct the scale factor of a 4-D rotational invariant metric. This new scale factor is non-zero at the origin, which we assume to be caused the presence of the well-known singular structure in the collapsed phase. The scale factor depends on an overall integration constant, which is determined by comparison with the implied volume at intermediate distances. We construct a transformation to a 3-D rotational invariant metric, which reveals Euclidean black hole features at an instant in time, with a horizon separating interior and exterior parts. Effective Einstein equations in the presence of a `geometric condensate' are assumed, and computed with the software OGRe. Also explored briefly is a qualitatively different (not preferred) interpretation of the data which follows from comparison with an inversely transformed Euclidean regular black hole metric.
format Preprint
id arxiv_https___arxiv_org_abs_2301_07081
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
Smit, Jan
General Relativity and Quantum Cosmology
High Energy Physics - Lattice
We report on an old computation of propagators of massless scalar fields on an ensemble of configurations in 4D Euclidean dynamical triangulations in the collapsed (crumpled) phase. The resulting quantum average is used to construct the scale factor of a 4-D rotational invariant metric. This new scale factor is non-zero at the origin, which we assume to be caused the presence of the well-known singular structure in the collapsed phase. The scale factor depends on an overall integration constant, which is determined by comparison with the implied volume at intermediate distances. We construct a transformation to a 3-D rotational invariant metric, which reveals Euclidean black hole features at an instant in time, with a horizon separating interior and exterior parts. Effective Einstein equations in the presence of a `geometric condensate' are assumed, and computed with the software OGRe. Also explored briefly is a qualitatively different (not preferred) interpretation of the data which follows from comparison with an inversely transformed Euclidean regular black hole metric.
title Using massless fields for observing black hole features in the collapsed phase of Euclidean dynamical triangulations
topic General Relativity and Quantum Cosmology
High Energy Physics - Lattice
url https://arxiv.org/abs/2301.07081