Self-gravity and Bekenstein-Hawking entropy
We study the effect of self-gravity on entropy by directly solving the 4D semi-classical Einstein equation. In particular, we focus on whether the Bekenstein-Hawking formula holds when self-gravity is extremely strong. As an example, we consider a simple spherically symmetric static configuration co...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132400097X |
| _version_ | 1797210089212346368 |
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| author | Yuki Yokokura |
| author_facet | Yuki Yokokura |
| author_sort | Yuki Yokokura |
| collection | DOAJ |
| description | We study the effect of self-gravity on entropy by directly solving the 4D semi-classical Einstein equation. In particular, we focus on whether the Bekenstein-Hawking formula holds when self-gravity is extremely strong. As an example, we consider a simple spherically symmetric static configuration consisting of many quanta and construct a self-consistent non-perturbative solution for ħ in which the entropy exactly follows the area law for many local degrees of freedom of any kind. This can be a candidate for black holes in quantum theory. It represents a compact dense configuration with near-Planckian curvatures, and the interior typically behaves like a local thermal state due to particle creation inside. Here, the information content is stored in the interior bulk, and the self-gravity plays an essential role in changing the entropy from the volume law to the area law. We finally discuss implications to black holes in quantum gravity and a speculative view of entropy as a gravitational charge. |
| first_indexed | 2024-04-24T10:05:03Z |
| format | Article |
| id | doaj.art-348cc777029f451fb041677991803e87 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-24T10:05:03Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-348cc777029f451fb041677991803e872024-04-13T04:20:56ZengElsevierNuclear Physics B0550-32132024-05-011002116531Self-gravity and Bekenstein-Hawking entropyYuki Yokokura0iTHEMS Program, RIKEN, Wako, Saitama 351-0198, JapanWe study the effect of self-gravity on entropy by directly solving the 4D semi-classical Einstein equation. In particular, we focus on whether the Bekenstein-Hawking formula holds when self-gravity is extremely strong. As an example, we consider a simple spherically symmetric static configuration consisting of many quanta and construct a self-consistent non-perturbative solution for ħ in which the entropy exactly follows the area law for many local degrees of freedom of any kind. This can be a candidate for black holes in quantum theory. It represents a compact dense configuration with near-Planckian curvatures, and the interior typically behaves like a local thermal state due to particle creation inside. Here, the information content is stored in the interior bulk, and the self-gravity plays an essential role in changing the entropy from the volume law to the area law. We finally discuss implications to black holes in quantum gravity and a speculative view of entropy as a gravitational charge.http://www.sciencedirect.com/science/article/pii/S055032132400097X |
| spellingShingle | Yuki Yokokura Self-gravity and Bekenstein-Hawking entropy Nuclear Physics B |
| title | Self-gravity and Bekenstein-Hawking entropy |
| title_full | Self-gravity and Bekenstein-Hawking entropy |
| title_fullStr | Self-gravity and Bekenstein-Hawking entropy |
| title_full_unstemmed | Self-gravity and Bekenstein-Hawking entropy |
| title_short | Self-gravity and Bekenstein-Hawking entropy |
| title_sort | self gravity and bekenstein hawking entropy |
| url | http://www.sciencedirect.com/science/article/pii/S055032132400097X |
| work_keys_str_mv | AT yukiyokokura selfgravityandbekensteinhawkingentropy |