Quasi-Homogeneous Black Hole Thermodynamics in Non-Commutative Geometry
Quevedo H. Quevedo M.N.
March 2025Multidisciplinary Digital Publishing Institute (MDPI)
Universe
2025#11Issue 3
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.
black holes , geometrothermodynamics , non-commutative geometry , phase transitions
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Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico City, 04510, Mexico
Dipartimento di Fisica and Icra, Università di Roma “La Sapienza”, Roma, 00185, Italy
Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty, 055040, Kazakhstan
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, D.C., Bogotá, 111711, Colombia
Instituto de Ciencias Nucleares
Dipartimento di Fisica and Icra
Department of Theoretical and Nuclear Physics
Departamento de Matemáticas
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