https://doi.org/10.1140/epjp/i2012-12123-x
Regular Article
Thermodynamics of phantom Reissner-Nordstrom-AdS black hole
1
Universidade Federal dos Vales do Jequitinhonha e Mucuri, ICTM, Rua do Cruzeiro, 01, Jardim São Paulo, CEP39803-371, Teofilo Otoni, MG, Brazil
2
Centro de Ciências Exatas - Departamento de Física, Universidade Federal do Espírito Santo, Av. Fernando Ferrari s/n - Campus de Goiabeiras, CEP29075-910, Vitória/ES, Brazil
3
Departamento de Ciências Naturais - CEUNES, Universidade Federal do Espírito Santo, CEP29933-415, São Mateus/ES, Brazil
4
Institut de Mathématiques et de Sciences Physiques (IMSP), 01 BP 613, Porto-Novo, Bénin
* e-mail: dfjardim@gmail.com
Received:
8
May
2012
Revised:
24
July
2012
Accepted:
30
August
2012
Published online:
8
October
2012
We obtain a new solution of the Einstein-anti-Maxwell theory with cosmological constant, called anti-Reissner-Nordstrom-(A)de Sitter (anti-RN-(A)dS) solution. The basic properties of this solution is reviewed. Its thermodynamics is consistently established, with the extreme cases and phase transitions, where the analysis is performed through two methods, the usual one and that of Geometrothermodynamics. The Geometrothermodynamics analysis does not provide a result in agreement with the usual method or by the specific heat. We establish local and global thermodynamic stabilities of anti-RN-AdS solution through the specific heat and the canonical and grand-canonical ensembles.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2012