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DOIONLINE NO - IJMAS-IRAJ-DOIONLINE-8403

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International Journal of Management and Applied Science (IJMAS)-IJMAS
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Volume Issue
Issue
Volume-3,Issue-6  ( Jun, 2017 )
Paper Title
Geometrothermodynamics of The Cosmological Constant
Author Name
Maria N. Quevedo, Hernando Quevedo
Affilition
Departamento de Matem_aticas, Facultad de Ciencias B_asicas y Aplicadas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, Bogot_a D.E., Colombia Instituto de Ciencias Nucleares, Universidad Nacional Aut_onoma de M_exico, AP 70543, M_exico, DF 04510, Mexico Dipartimento di Fisica and ICRA, Universit_a di Roma \La Sapienza", I-00185 Roma, Italy
Pages
21-24
Abstract
We study the properties of black holes with cosmological constant in the framework of geometrothermodynamics. We consider in particular the case of the Schwarzschild-anti-de-Sitter black hole, and show that the corresponding fundamental equation is a generalized homogeneous function only if the cosmological constant is assumed to be a thermodynamic variable. We analyze the geo- metric properties of the equilibrium space and show that the presence of the cosmological constant changes drastically the stability properties and the phase transition structure of the black hole. Keywords- Black holes, phase transitions, thermodynamics, geometrothermodynamics PACS numbers: 05.70.Ce; 05.70.Fh; 04.70.-s; 04.20.-q
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