Thermodynamic functions of toroidal black holes

被引:0
作者
Guan Yun [1 ,2 ]
Wang Bo-Bo [1 ]
机构
[1] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China
[2] Shandong Univ, Sch Space Sci & Phys, Weihai 264209, Peoples R China
关键词
black hole thermodynamics; toroidal black holes; extended phase space; FIELD;
D O I
10.7498/aps.70.20212370
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The thermodynamic functions of toroidal black holes are investigated in this paper by taking thecosmological constant as a dynamic variable equivalent to the pressure. The equation of state and the Smarrrelation of a toroidal black hole are given. Then, the Gibbs function is obtained by calculating the Euclidianaction. Further we study other thermodynamic functions of the toroidal black hole, such as free energy, internalenergy, and thermodynamic enthalpy. The heat capacity of the toroidal black hole at constant pressure andconstant volume is obtained. The results show that toroidal black holes have no van der Waals type phasetransition. Toroidal black hole is a stable thermodynamic system because its heat capacity at constant pressureis greater than zero and its heat capacity at constant volume is equal to zero
引用
收藏
页数:8
相关论文
共 19 条
[1]   GENERALIZED SECOND LAW OF THERMODYNAMICS IN BLACK-HOLE PHYSICS [J].
BEKENSTE.JD .
PHYSICAL REVIEW D, 1974, 9 (12) :3292-3300
[2]   BLACK HOLES AND ENTROPY [J].
BEKENSTEIN, JD .
PHYSICAL REVIEW D, 1973, 7 (08) :2333-2346
[3]   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
[4]   Black hole enthalpy and an entropy inequality for the thermodynamic volume [J].
Cvetic, M. ;
Gibbons, G. W. ;
Kubiznak, D. ;
Pope, C. N. .
PHYSICAL REVIEW D, 2011, 84 (02)
[5]   Compressibility of rotating black holes [J].
Dolan, Brian P. .
PHYSICAL REVIEW D, 2011, 84 (12)
[6]   Pressure and volume in the first law of black hole thermodynamics [J].
Dolan, Brian P. .
CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (23)
[7]   The cosmological constant and black-hole thermodynamic potentials [J].
Dolan, Brian P. .
CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (12)
[8]   Black holes of D=5 supergravity [J].
Gauntlett, JP ;
Myers, RC ;
Townsend, PK .
CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (01) :1-21
[9]   ACTION INTEGRALS AND PARTITION-FUNCTIONS IN QUANTUM GRAVITY [J].
GIBBONS, GW ;
HAWKING, SW .
PHYSICAL REVIEW D, 1977, 15 (10) :2752-2756
[10]  
Goenner H., 1970, Journal of Mathematical Physics, V11, P3358, DOI 10.1063/1.1665136