Hawking radiation under generalized uncertainty principle
Abstract The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a minimal uncertainty length scale into the radial coo...
| Hlavní autoři: | , , , , |
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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
SpringerOpen
2023-12-01
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| Edice: | European Physical Journal C: Particles and Fields |
| On-line přístup: | https://doi.org/10.1140/epjc/s10052-023-12302-3 |
| _version_ | 1827300908871974912 |
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| author | Tin-Long Chau Pei-Ming Ho Hikaru Kawai Wei-Hsiang Shao Cheng-Tsung Wang |
| author_facet | Tin-Long Chau Pei-Ming Ho Hikaru Kawai Wei-Hsiang Shao Cheng-Tsung Wang |
| author_sort | Tin-Long Chau |
| collection | DOAJ |
| description | Abstract The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a minimal uncertainty length scale into the radial coordinate of the background. This is implemented in both the ingoing Vaidya coordinates and a family of freely falling coordinates. We find that, regardless of the choice of the coordinate system, Hawking radiation is turned off at around the scrambling time. Interestingly, this phenomenon occurs while the Hawking temperature remains largely unmodified. |
| first_indexed | 2024-03-08T22:35:07Z |
| format | Article |
| id | doaj.art-33962b68901a4bea9fd05beb5ab90a4d |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:14:07Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-33962b68901a4bea9fd05beb5ab90a4d2024-03-31T11:31:34ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-01831211410.1140/epjc/s10052-023-12302-3Hawking radiation under generalized uncertainty principleTin-Long Chau0Pei-Ming Ho1Hikaru Kawai2Wei-Hsiang Shao3Cheng-Tsung Wang4Department of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics and Center for Theoretical Physics, National Taiwan UniversityAbstract The generalized uncertainty relation is expected to be an essential element in a theory of quantum gravity. In this work, we examine its effect on the Hawking radiation of a Schwarzschild black hole formed from collapse by incorporating a minimal uncertainty length scale into the radial coordinate of the background. This is implemented in both the ingoing Vaidya coordinates and a family of freely falling coordinates. We find that, regardless of the choice of the coordinate system, Hawking radiation is turned off at around the scrambling time. Interestingly, this phenomenon occurs while the Hawking temperature remains largely unmodified.https://doi.org/10.1140/epjc/s10052-023-12302-3 |
| spellingShingle | Tin-Long Chau Pei-Ming Ho Hikaru Kawai Wei-Hsiang Shao Cheng-Tsung Wang Hawking radiation under generalized uncertainty principle European Physical Journal C: Particles and Fields |
| title | Hawking radiation under generalized uncertainty principle |
| title_full | Hawking radiation under generalized uncertainty principle |
| title_fullStr | Hawking radiation under generalized uncertainty principle |
| title_full_unstemmed | Hawking radiation under generalized uncertainty principle |
| title_short | Hawking radiation under generalized uncertainty principle |
| title_sort | hawking radiation under generalized uncertainty principle |
| url | https://doi.org/10.1140/epjc/s10052-023-12302-3 |
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