Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes
We consider three-dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell, logarithmic, and exponential theories yield only type one phase transition which...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/743086 |
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| author | Seyed Hossein Hendi Shahram Panahiyan Behzad Eslam Panah |
| author_facet | Seyed Hossein Hendi Shahram Panahiyan Behzad Eslam Panah |
| author_sort | Seyed Hossein Hendi |
| collection | DOAJ |
| description | We consider three-dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell, logarithmic, and exponential theories yield only type one phase transition which is related to the root(s) of heat capacity, whereas, for correction form of nonlinear electrodynamics, heat capacity contains two roots and one divergence point. Next, we use geometrical approach for studying classical thermodynamical behavior of the system. We show that Weinhold and Ruppeiner metrics fail to provide fruitful results and the consequences of the Quevedo approach are not completely matched to the heat capacity results. Then, we employ a new metric for solving this problem. We show that this approach is successful and all divergencies of its Ricci scalar and phase transition points coincide. We also show that there is no phase transition for uncharged BTZ black holes. |
| format | Article |
| id | doaj-art-81a928df8aab45f0b35657d414df09be |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-81a928df8aab45f0b35657d414df09be2025-08-20T03:35:50ZengWileyAdvances in High Energy Physics1687-73571687-73652015-01-01201510.1155/2015/743086743086Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black HolesSeyed Hossein Hendi0Shahram Panahiyan1Behzad Eslam Panah2Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, IranWe consider three-dimensional BTZ black holes with three models of nonlinear electrodynamics as source. Calculating heat capacity, we study the stability and phase transitions of these black holes. We show that Maxwell, logarithmic, and exponential theories yield only type one phase transition which is related to the root(s) of heat capacity, whereas, for correction form of nonlinear electrodynamics, heat capacity contains two roots and one divergence point. Next, we use geometrical approach for studying classical thermodynamical behavior of the system. We show that Weinhold and Ruppeiner metrics fail to provide fruitful results and the consequences of the Quevedo approach are not completely matched to the heat capacity results. Then, we employ a new metric for solving this problem. We show that this approach is successful and all divergencies of its Ricci scalar and phase transition points coincide. We also show that there is no phase transition for uncharged BTZ black holes.http://dx.doi.org/10.1155/2015/743086 |
| spellingShingle | Seyed Hossein Hendi Shahram Panahiyan Behzad Eslam Panah Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes Advances in High Energy Physics |
| title | Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes |
| title_full | Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes |
| title_fullStr | Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes |
| title_full_unstemmed | Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes |
| title_short | Geometrical Method for Thermal Instability of Nonlinearly Charged BTZ Black Holes |
| title_sort | geometrical method for thermal instability of nonlinearly charged btz black holes |
| url | http://dx.doi.org/10.1155/2015/743086 |
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