Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
Abstract We investigate the thermodynamics of a Schwarzschild black hole, surrounded by the quintessence energy-matter in the linear and quadratic generalized uncertainty principle framework. Considering the variance in the position to be of the order of the event horizon radius and equating the var...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13811-z |
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| author | Soham Sen Abhijit Dutta Sunandan Gangopadhyay |
| author_facet | Soham Sen Abhijit Dutta Sunandan Gangopadhyay |
| author_sort | Soham Sen |
| collection | DOAJ |
| description | Abstract We investigate the thermodynamics of a Schwarzschild black hole, surrounded by the quintessence energy-matter in the linear and quadratic generalized uncertainty principle framework. Considering the variance in the position to be of the order of the event horizon radius and equating the variance in the momentum to the Hawking temperature of the black hole, we substitute these variances in the deformed algebra. From there we obtained the generalized uncertainty principle-modified black hole temperature and eventually the specific heat of the black hole. Then we calculate the critical as well as the remnant mass and obtain the entropy relation. We observe that the entropy relation includes the usual leading order “area divided by four” term, sub-leading logarithmic term, and higher order inverse of the area corrections. Finally, calculating the energy output as a function of time, we obtain the evaporation time of the black hole. The results show the dependence of the quintessence parameter on the thermodynamic quantities in the framework of linear and quadratic generalized uncertainty principle. |
| format | Article |
| id | doaj-art-bfff22dd7b8f4ca18111eb206a38e5de |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-bfff22dd7b8f4ca18111eb206a38e5de2025-02-02T12:38:35ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185211810.1140/epjc/s10052-025-13811-zThermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle frameworkSoham Sen0Abhijit Dutta1Sunandan Gangopadhyay2Department of Astrophysics and High Energy Physics, S. N. Bose National Centre for Basic SciencesDepartment of Physics, Kandi Raj CollegeDepartment of Astrophysics and High Energy Physics, S. N. Bose National Centre for Basic SciencesAbstract We investigate the thermodynamics of a Schwarzschild black hole, surrounded by the quintessence energy-matter in the linear and quadratic generalized uncertainty principle framework. Considering the variance in the position to be of the order of the event horizon radius and equating the variance in the momentum to the Hawking temperature of the black hole, we substitute these variances in the deformed algebra. From there we obtained the generalized uncertainty principle-modified black hole temperature and eventually the specific heat of the black hole. Then we calculate the critical as well as the remnant mass and obtain the entropy relation. We observe that the entropy relation includes the usual leading order “area divided by four” term, sub-leading logarithmic term, and higher order inverse of the area corrections. Finally, calculating the energy output as a function of time, we obtain the evaporation time of the black hole. The results show the dependence of the quintessence parameter on the thermodynamic quantities in the framework of linear and quadratic generalized uncertainty principle.https://doi.org/10.1140/epjc/s10052-025-13811-z |
| spellingShingle | Soham Sen Abhijit Dutta Sunandan Gangopadhyay Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework European Physical Journal C: Particles and Fields |
| title | Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework |
| title_full | Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework |
| title_fullStr | Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework |
| title_full_unstemmed | Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework |
| title_short | Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework |
| title_sort | thermodynamics of a schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework |
| url | https://doi.org/10.1140/epjc/s10052-025-13811-z |
| work_keys_str_mv | AT sohamsen thermodynamicsofaschwarzschildblackholesurroundedbyquintessenceinthegeneralizeduncertaintyprincipleframework AT abhijitdutta thermodynamicsofaschwarzschildblackholesurroundedbyquintessenceinthegeneralizeduncertaintyprincipleframework AT sunandangangopadhyay thermodynamicsofaschwarzschildblackholesurroundedbyquintessenceinthegeneralizeduncertaintyprincipleframework |