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arxiv 2301.07081 v4 pith:3LFO7HIM submitted 2023-01-17 gr-qc hep-lat

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

classification gr-qc hep-lat
keywords euclideanblackcollapsedfactorholemetricphasescale
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium

    gr-qc 2026-07 conditional novelty 4.0

    Plasma and a topological-defect parameter k jointly shift scalar QNM frequencies and permit electromagnetic quasi-bound states only for homogeneous plasma below a critical frequency threshold.