Article Dans Une Revue European Physical Journal C: Particles and Fields Année : 2024

Effective Metric Descriptions of Quantum Black Holes

Résumé

In a recent work [arXiv:2307.13489 [gr-qc]], we have described spherically symmetric and static quantum black holes as deformations of the classical Schwarzschild metric that depend on the physical distance to the horizon. We have developed a framework that allows to compute the latter in a self-consistent fashion from the deformed geometry, in the vicinity of the horizon. However, in this formalism, the distance can be replaced by other physical quantities, e.g. curvature invariants such as the Ricci- or Kretschmann scalar. Here, we therefore define a more general framework, which we call an "effective metric description" (EMD), that captures the deformed geometry based on a generic physical quantity. We develop in detail the Ricci- and Kretschmann scalar EMD, in particular demonstrating how to compute the geometry in a self-consistent manner. Moreover, we provide explicit relations that allow to express one EMD in terms of the others, thus demonstrating their equivalence.

Dates et versions

hal-04529145 , version 1 (02-04-2024)

Identifiants

Citer

Manuel del Piano, Stefan Hohenegger, Francesco Sannino. Effective Metric Descriptions of Quantum Black Holes. European Physical Journal C: Particles and Fields, 2024, 84 (12), pp.1273. ⟨10.1140/epjc/s10052-024-13609-5⟩. ⟨hal-04529145⟩
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