Geometric Curvatures of Plane Symmetry Black Hole
We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition at N=1, where N is a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order ph...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/734138 |
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| _version_ | 1832565175462395904 |
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| author | Shao-Wen Wei Yu-Xiao Liu Chun-E. Fu Hai-Tao Li |
| author_facet | Shao-Wen Wei Yu-Xiao Liu Chun-E. Fu Hai-Tao Li |
| author_sort | Shao-Wen Wei |
| collection | DOAJ |
| description | We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition at N=1, where N is a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitrary N≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation. |
| format | Article |
| id | doaj-art-86a95ba4e7d44763a6d7295c447cb129 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-86a95ba4e7d44763a6d7295c447cb1292025-02-03T01:08:59ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/734138734138Geometric Curvatures of Plane Symmetry Black HoleShao-Wen Wei0Yu-Xiao Liu1Chun-E. Fu2Hai-Tao Li3Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, ChinaInstitute of Theoretical Physics, Lanzhou University, Lanzhou 730000, ChinaInstitute of Theoretical Physics, Lanzhou University, Lanzhou 730000, ChinaInstitute of Theoretical Physics, Lanzhou University, Lanzhou 730000, ChinaWe study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition at N=1, where N is a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitrary N≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.http://dx.doi.org/10.1155/2013/734138 |
| spellingShingle | Shao-Wen Wei Yu-Xiao Liu Chun-E. Fu Hai-Tao Li Geometric Curvatures of Plane Symmetry Black Hole Advances in High Energy Physics |
| title | Geometric Curvatures of Plane Symmetry Black Hole |
| title_full | Geometric Curvatures of Plane Symmetry Black Hole |
| title_fullStr | Geometric Curvatures of Plane Symmetry Black Hole |
| title_full_unstemmed | Geometric Curvatures of Plane Symmetry Black Hole |
| title_short | Geometric Curvatures of Plane Symmetry Black Hole |
| title_sort | geometric curvatures of plane symmetry black hole |
| url | http://dx.doi.org/10.1155/2013/734138 |
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