Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole
The thermodynamics of the noncommutative Schwarzschild black hole is reformulated within the context of the recently developed formalism of geometrothermodynamics (GTD). Using a thermodynamic metric which is invariant with respect to Legendre transformations, we determine the geometry of the space o...
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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/10.1155/2013/641273 |
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| _version_ | 1832552284009005056 |
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| author | Alexis Larrañaga Natalia Herrera Juliana Garcia |
| author_facet | Alexis Larrañaga Natalia Herrera Juliana Garcia |
| author_sort | Alexis Larrañaga |
| collection | DOAJ |
| description | The thermodynamics of the noncommutative Schwarzschild black hole is reformulated within the context of the recently developed formalism of geometrothermodynamics (GTD). Using a thermodynamic metric which is invariant with respect to Legendre transformations, we determine the geometry of the space of equilibrium states and show that phase transitions, which correspond to divergencies of the heat capacity, are represented geometrically as singularities of the curvature scalar. This further indicates that the curvature of the thermodynamic metric is a measure of thermodynamic interaction. |
| format | Article |
| id | doaj-art-365bed02003640e48ef271e8f262b9f8 |
| 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-365bed02003640e48ef271e8f262b9f82025-02-03T05:58:57ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/641273641273Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black HoleAlexis Larrañaga0Natalia Herrera1Juliana Garcia2National Astronomical Observatory, National University of Colombia, Bogotá 11001000, ColombiaDepartment of Physics, National University of Colombia, Bogotá 11001000, ColombiaDepartment of Physics, National University of Colombia, Bogotá 11001000, ColombiaThe thermodynamics of the noncommutative Schwarzschild black hole is reformulated within the context of the recently developed formalism of geometrothermodynamics (GTD). Using a thermodynamic metric which is invariant with respect to Legendre transformations, we determine the geometry of the space of equilibrium states and show that phase transitions, which correspond to divergencies of the heat capacity, are represented geometrically as singularities of the curvature scalar. This further indicates that the curvature of the thermodynamic metric is a measure of thermodynamic interaction.http://dx.doi.org/10.1155/2013/641273 |
| spellingShingle | Alexis Larrañaga Natalia Herrera Juliana Garcia Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole Advances in High Energy Physics |
| title | Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole |
| title_full | Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole |
| title_fullStr | Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole |
| title_full_unstemmed | Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole |
| title_short | Geometric Description of the Thermodynamics of the Noncommutative Schwarzschild Black Hole |
| title_sort | geometric description of the thermodynamics of the noncommutative schwarzschild black hole |
| url | http://dx.doi.org/10.1155/2013/641273 |
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