Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.08569 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911849377693696 |
|---|---|
| author | Ho, Pei-Ming Kawai, Hikaru Liao, Henry Yokokura, Yuki |
| author_facet | Ho, Pei-Ming Kawai, Hikaru Liao, Henry Yokokura, Yuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_08569 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | 4D Weyl Anomaly and Diversity of the Interior Structure of Quantum Black Hole Ho, Pei-Ming Kawai, Hikaru Liao, Henry Yokokura, Yuki High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology 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. |
| title | 4D Weyl Anomaly and Diversity of the Interior Structure of Quantum Black Hole |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2307.08569 |