Thermodynamic response functions and Maxwell relations for a Kerr black hole



Document title: Thermodynamic response functions and Maxwell relations for a Kerr black hole
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000370475
ISSN: 0035-001X
Authors: 1
1
Institutions: 1Universidad de Guanajuato, División de Ciencias e Ingenierías, León, Guanajuato. México
Year:
Season: Ene-Feb
Volumen: 60
Number: 1
Pages: 59-68
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Assuming the existence of a fundamental thermodynamic relation, the classical thermodynamics of a black hole with mass and angular momentum is given. New definitions of the response functions and TdS equations are introduced and mathematical analogous of the Euler equation and Gibbs-Duhem relation are founded. Thermodynamic stability is studied from concavity conditions, resulting in an unstable equilibrium at all the domain except for a region of local stable equilibrium. The Maxwell relations are written, allowing to build the thermodynamic squares. Our results shown an interesting analogy between thermodynamics of gravitational and magnetic systems
Disciplines: Física y astronomía
Keyword: Astronomía,
Termodinámica y física estadística,
Termodinámica,
Hoyos negros,
Interacciones de largo alcance
Keyword: Physics and astronomy,
Astronomy,
Thermodynamics and statistical physics,
Thermodynamics,
Black holes,
Long range interactions
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