Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909076226572288 |
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| author | Pourhassan, Behnam Hendi, Seyed Hossein Upadhyay, Sudhaker Sakalli, Izzet Saridakis, Emmanuel N. |
| author_facet | Pourhassan, Behnam Hendi, Seyed Hossein Upadhyay, Sudhaker Sakalli, Izzet Saridakis, Emmanuel N. |
| contents | We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate critical points and stability. We also compare the results with the case of Einstein-Maxwell solutions. Besides, we find that thermal fluctuations, which appear as a logarithmic term in the entropy, affect the stability of the black hole and change the phase transition point. Moreover, we study the geometrical thermodynamics and find that the behaviour of the linear Maxwell solution is the same as the nonlinear one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09482 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity Pourhassan, Behnam Hendi, Seyed Hossein Upadhyay, Sudhaker Sakalli, Izzet Saridakis, Emmanuel N. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We consider a charged BTZ black hole in asymptotically AdS space-time of massive gravity to study the effect of the thermal fluctuations on the black hole thermodynamics. We consider the Einstein-Born-Infeld solution and investigate critical points and stability. We also compare the results with the case of Einstein-Maxwell solutions. Besides, we find that thermal fluctuations, which appear as a logarithmic term in the entropy, affect the stability of the black hole and change the phase transition point. Moreover, we study the geometrical thermodynamics and find that the behaviour of the linear Maxwell solution is the same as the nonlinear one. |
| title | Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.09482 |