The cosmological constant and black-hole thermodynamic potentials

被引:553
作者
Dolan, Brian P. [1 ,2 ]
机构
[1] Natl Univ Ireland, Dept Math Phys, Maynooth, Kildare, Ireland
[2] Dublin Inst Adv Studies, Dublin 4, Ireland
关键词
PHASE-TRANSITION; SPACE; GRAVITY; FIELD; LAW;
D O I
10.1088/0264-9381/28/12/125020
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The thermodynamics of black holes in various dimensions are described in the presence of a negative cosmological constant which is treated as a thermodynamic variable, interpreted as a pressure in the equation of state. The black hole mass is then identified with the enthalpy, rather than the internal energy, and heat capacities are calculated at constant pressure not at constant volume. The Euclidean action is associated with a bridge equation for the Gibbs free energy and not the Helmholtz free energy. Quantum corrections to the enthalpy and the equation of state of the BTZ black hole are studied.
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页数:13
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