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

被引:57
作者
Azreg-Ainou, Mustapha [1 ]
Rodrigues, Manuel E. [2 ,3 ,4 ]
机构
[1] Baskent Univ, Dept Math, TR-06490 Ankara, Turkey
[2] Univ Fed Espirito Santo, Dept Fis, Ctr Ciencias Exatas, BR-29075910 Vitoria, ES, Brazil
[3] Fed Univ Para, Fac Fis, BR-66075110 Belem, Para, Brazil
[4] Fed Univ Para, Fac Ciencias Exatas & Tecnol, BR-68440000 Abaetetuba, Para, Brazil
关键词
Classical Theories of Gravity; Black Holes; UNSTABLE MODES; STABILITY; NUMBER; FIELD; HAIR;
D O I
10.1007/JHEP09(2013)146
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Properties pertaining to thermodynamical local stability of Reissner-Nordstrom 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 Poincare 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.
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页数:26
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共 47 条
[1]   Stability and critical phenomena of black holes and black rings [J].
Arcioni, G ;
Lozano-Tellechea, E .
PHYSICAL REVIEW D, 2005, 72 (10)
[2]   Phantom black holes and sigma models [J].
Azreg-Ainou, Mustapha ;
Clement, Gerard ;
Fabris, Julio C. ;
Rodrigues, Manuel E. .
PHYSICAL REVIEW D, 2011, 83 (12)
[3]   A unified picture of phase transition: from liquid-vapour systems to AdS black holes [J].
Banerjee, Rabin ;
Modak, Sujoy Kumar ;
Roychowdhury, Dibakar .
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (10)
[4]   New type of phase transition in Reissner Nordstrom-AdS black hole and its thermodynamic geometry [J].
Banerjee, Rabin ;
Ghosh, Sumit ;
Roychowdhury, Dibakar .
PHYSICS LETTERS B, 2011, 696 (1-2) :156-162
[5]  
Bassett B., 2010, Dark Energy: Observational and Theoretical Approaches
[6]  
Bekenstein J. D., 2000, COSMOLOGY GRAVITATIO
[7]   NOVEL NO-SCALAR-HAIR THEOREM FOR BLACK-HOLES [J].
BEKENSTEIN, JD .
PHYSICAL REVIEW D, 1995, 51 (12) :R6608-R6611
[8]  
Brown JD, 1997, INT J MOD PHYS D, V6, P563, DOI 10.1142/S0218271897000340
[9]   Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories [J].
Caldarelli, MM ;
Cognola, G ;
Klemm, D .
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (02) :399-420
[10]   Charged AdS black holes and catastrophic holography [J].
Chamblin, A ;
Emparan, R ;
Johnson, CV ;
Myers, RC .
PHYSICAL REVIEW D, 1999, 60 (06)