4D Weyl Anomaly and Diversity of the Interior Structure of Quantum Black Hole

Autor:	Ho, Pei-Ming, Kawai, Hikaru, Liao, Henry, Yokokura, Yuki
Rok vydání:	2023
Předmět:	High Energy Physics - Theory Astrophysics - High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	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 $\hbar$. 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. Comment: 32 pages, many figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.08569 Zobrazit plný text záznamu View this record from Arxiv