Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry
We study the thermodynamic properties of a black hole that takes into account the effects of non-commutative geometry. To emphasize the role of new effects, we have chosen a specific modified Schwarzschild black hole inspired by non-commutative geometry. We show that, in order to apply the laws of q...
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2025-02-01
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| author | Hernando Quevedo María N. Quevedo |
| author_facet | Hernando Quevedo María N. Quevedo |
| author_sort | Hernando Quevedo |
| collection | DOAJ |
| description | We study the thermodynamic properties of a black hole that takes into account the effects of non-commutative geometry. To emphasize the role of new effects, we have chosen a specific modified Schwarzschild black hole inspired by non-commutative geometry. We show that, in order to apply the laws of quasi-homogeneous thermodynamics using the formalism of geometrothermodynamics, it is necessary to consider the non-commutative parameter as an independent thermodynamic variable. As a result, the properties of the black hole change drastically, leading to phase transitions that are directly related to the value of the non-commutative parameter. We also prove that an unstable commutative black hole can become stable in non-commutative geometry for particular values of the non-commutative parameter. |
| format | Article |
| id | doaj-art-3f4edebc07e545c4a2ab4d2e5c6fddcf |
| institution | OA Journals |
| issn | 2218-1997 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-3f4edebc07e545c4a2ab4d2e5c6fddcf2025-08-20T01:48:50ZengMDPI AGUniverse2218-19972025-02-011137910.3390/universe11030079Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative GeometryHernando Quevedo0María N. Quevedo1Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City 04510, MexicoDepartamento de Matemáticas, Facultad de Ciencias Básicas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, Bogotá D.C. 111711, ColombiaWe study the thermodynamic properties of a black hole that takes into account the effects of non-commutative geometry. To emphasize the role of new effects, we have chosen a specific modified Schwarzschild black hole inspired by non-commutative geometry. We show that, in order to apply the laws of quasi-homogeneous thermodynamics using the formalism of geometrothermodynamics, it is necessary to consider the non-commutative parameter as an independent thermodynamic variable. As a result, the properties of the black hole change drastically, leading to phase transitions that are directly related to the value of the non-commutative parameter. We also prove that an unstable commutative black hole can become stable in non-commutative geometry for particular values of the non-commutative parameter.https://www.mdpi.com/2218-1997/11/3/79non-commutative geometryblack holesgeometrothermodynamicsphase transitions |
| spellingShingle | Hernando Quevedo María N. Quevedo Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry Universe non-commutative geometry black holes geometrothermodynamics phase transitions |
| title | Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry |
| title_full | Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry |
| title_fullStr | Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry |
| title_full_unstemmed | Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry |
| title_short | Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry |
| title_sort | quasi homogeneous black hole thermodynamics in non commutative geometry |
| topic | non-commutative geometry black holes geometrothermodynamics phase transitions |
| url | https://www.mdpi.com/2218-1997/11/3/79 |
| work_keys_str_mv | AT hernandoquevedo quasihomogeneousblackholethermodynamicsinnoncommutativegeometry AT marianquevedo quasihomogeneousblackholethermodynamicsinnoncommutativegeometry |