Tsallis entropy inspires geometric thermodynamics of specific black hole
Abstract In this paper, we analyze the thermodynamics of five-dimensional Schwarzschild AdS black hole in $$AdS_5 \times S^5$$ A d S 5 × S 5 spacetime in the presence of Tsallis entropy. Since the cosmological constant $$\Lambda $$ Λ is considered as thermodynamical pressure with volume as its conju...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10655-9 |
| _version_ | 1798038866259607552 |
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| author | Shamaila Rani Abdul Jawad Hooman Moradpour Aqsa Tanveer |
| author_facet | Shamaila Rani Abdul Jawad Hooman Moradpour Aqsa Tanveer |
| author_sort | Shamaila Rani |
| collection | DOAJ |
| description | Abstract In this paper, we analyze the thermodynamics of five-dimensional Schwarzschild AdS black hole in $$AdS_5 \times S^5$$ A d S 5 × S 5 spacetime in the presence of Tsallis entropy. Since the cosmological constant $$\Lambda $$ Λ is considered as thermodynamical pressure with volume as its conjugate, but this explanation cannot be employed in AdS/CFT correspondence. In this study, we associate cosmological constant $$\Lambda $$ Λ in boundary gauge theory with the number of colors N and chemical potential is taken to be its thermodynamic conjugate. The two geometric parameters in the AdS black hole, r and L are substituted for two thermodynamic parameters in the micro-canonical ensemble, which are considered to be entropy S and $$N^2$$ N 2 . Moreover, we evaluate several thermodynamical geometry formulations, including Weinhold, Ruppeiner, and Quevedo and derive associated scalar curvatures for five-dimensional Schwarzschild AdS black hole. It is suggested that all these geometries show repulsive/attractive forces on the particles at different phases of entropy. |
| first_indexed | 2024-04-11T21:46:12Z |
| format | Article |
| id | doaj.art-d0d2289ecf504888af523e54366a4541 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-11T21:46:12Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-d0d2289ecf504888af523e54366a45412022-12-22T04:01:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-08-0182811010.1140/epjc/s10052-022-10655-9Tsallis entropy inspires geometric thermodynamics of specific black holeShamaila Rani0Abdul Jawad1Hooman Moradpour2Aqsa Tanveer3Department of Mathematics, COMSATS University IslamabadDepartment of Mathematics, COMSATS University IslamabadResearch Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of MaraghehDepartment of Mathematics, COMSATS University IslamabadAbstract In this paper, we analyze the thermodynamics of five-dimensional Schwarzschild AdS black hole in $$AdS_5 \times S^5$$ A d S 5 × S 5 spacetime in the presence of Tsallis entropy. Since the cosmological constant $$\Lambda $$ Λ is considered as thermodynamical pressure with volume as its conjugate, but this explanation cannot be employed in AdS/CFT correspondence. In this study, we associate cosmological constant $$\Lambda $$ Λ in boundary gauge theory with the number of colors N and chemical potential is taken to be its thermodynamic conjugate. The two geometric parameters in the AdS black hole, r and L are substituted for two thermodynamic parameters in the micro-canonical ensemble, which are considered to be entropy S and $$N^2$$ N 2 . Moreover, we evaluate several thermodynamical geometry formulations, including Weinhold, Ruppeiner, and Quevedo and derive associated scalar curvatures for five-dimensional Schwarzschild AdS black hole. It is suggested that all these geometries show repulsive/attractive forces on the particles at different phases of entropy.https://doi.org/10.1140/epjc/s10052-022-10655-9 |
| spellingShingle | Shamaila Rani Abdul Jawad Hooman Moradpour Aqsa Tanveer Tsallis entropy inspires geometric thermodynamics of specific black hole European Physical Journal C: Particles and Fields |
| title | Tsallis entropy inspires geometric thermodynamics of specific black hole |
| title_full | Tsallis entropy inspires geometric thermodynamics of specific black hole |
| title_fullStr | Tsallis entropy inspires geometric thermodynamics of specific black hole |
| title_full_unstemmed | Tsallis entropy inspires geometric thermodynamics of specific black hole |
| title_short | Tsallis entropy inspires geometric thermodynamics of specific black hole |
| title_sort | tsallis entropy inspires geometric thermodynamics of specific black hole |
| url | https://doi.org/10.1140/epjc/s10052-022-10655-9 |
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