Journal of High Energy Physics

, 2013:146 | Cite as

Thermodynamical, geometrical and Poincaré methods for charged black holes in presence of quintessence



Properties pertaining to thermodynamical local stability of Reissner-Nordström black holes surrounded by quintessence as well as adiabatic invariance, adiabatic charging and a generalized Smarr formula are discussed. Limits for the entropy, temperature and electric potential ensuring stability of canonical ensembles are determined by the classical thermodynamical and Poincaré methods. By the latter approach we show that microcanonical ensembles (isolated black holes) are stable. Two geometrical approaches lead to determine the same states corresponding to second order phase transitions.


Classical Theories of Gravity Black Holes 


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Copyright information

© SISSA, Trieste, Italy 2013

Authors and Affiliations

  1. 1.Baskent University, Department of MathematicsAnkaraTurkey
  2. 2.Universidade Federal do Espírito Santo, Centro de Ciências Exatas, Departamento de FísicaVitóriaBrazil
  3. 3.Faculdade de Física, Universidade Federal do ParáBelém-ParáBrazil
  4. 4.Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do ParáAbaetetubaBrazil

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