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4D Weyl anomaly and diversity of the interior structure of quantum black hole
- Source :
- European Physical Journal C: Particles and Fields, Vol 84, Iss 7, Pp 1-23 (2024)
- Publication Year :
- 2024
- Publisher :
- SpringerOpen, 2024.
-
Abstract
- Abstract We study the interior metric of 4D spherically symmetric static black holes by using the semi-classical Einstein equation and find a consistent class of geometries with large curvatures. We approximate the matter fields by conformal fields and consider the contribution of the 4D Weyl anomaly, giving a state-independent constraint. Combining this with an equation of state yields an equation that determines the interior geometry completely. We explore the solution space of the equation in a non-perturbative manner for $$\hbar $$ ħ . First, we find four types of asymptotic behaviors and examine the general features of the solutions. Then, by imposing physical conditions, we obtain approximately a general class of interior geometries: various combinations of dilute and dense structures without a horizon or singularity. This represents the diversity of the interior structure. Finally, we show that the number of possible patterns of such interior geometries corresponds to the Bekenstein–Hawking entropy.
Details
- Language :
- English
- ISSN :
- 14346052
- Volume :
- 84
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- European Physical Journal C: Particles and Fields
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.b59024d08944c98b61d72558c5f6f39
- Document Type :
- article
- Full Text :
- https://doi.org/10.1140/epjc/s10052-024-13058-0