On the ensemble dependence in black hole geometrothermodynamics

被引:11
作者
Quevedo, Hernando [1 ,2 ,3 ]
Quevedo, Maria N. [4 ]
Sanchez, Alberto [5 ]
Taj, Safia [6 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico
[2] Inst Cosmol Relatividade & Astrofis, BR-22290180 Rio De Janeiro, Brazil
[3] ICRANet CBPF, BR-22290180 Rio De Janeiro, Brazil
[4] Univ Militar Nueva Granada, Dept Matemat, Bogota, DE, Colombia
[5] CIIDET, Dept Posgrad, Queretaro 76000, QRO, Mexico
[6] Natl Univ Sci & Technol, Coll Elect & Mech Engn, Rawalpindi, Pakistan
关键词
blackholes; geometrothermodynamics; phase transitions; THERMODYNAMICS; GRAVITY; ENERGY; FIELD;
D O I
10.1088/0031-8949/89/8/084007
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the dependence of the thermodynamic properties of black holes on the choice of statistical ensemble for a particular class of Einstein-Maxwell-Gauss-Bonnet black holes with the cosmological constant. We use partial Legendre transformations in the thermodynamic limit in order to compare the results in different ensembles, and show that the phase transition structure depends on the choice of thermodynamic potential. This result implies that thermodynamic metrics that are partially Legendre invariant cannot be employed to describe black hole thermodynamics, and partly explains why a particular thermodynamic metric has been used so far in the framework of black hole geometrothermodynamics.
引用
收藏
页数:7
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