Taub-Nut AdS black holes;
Weak gravity conjecture;
Central charge;
DESITTER;
ENTROPY;
D O I:
10.1007/s10714-022-03024-0
中图分类号:
P1 [天文学];
学科分类号:
0704 ;
摘要:
We study the thermodynamics of the Taub-NUT AdS black holes by Visser's holographic method using AdS radius as a constant parameter under the restricted phase space approach. Instead of the variables P and V, we deal with the central charge and also chemical potential as a unique couple of conjugate thermodynamic variables. We study some interesting properties of the Taub-NUT black holes e.g. supercritical phase equilibrium in the T - S processes, Q - Phi and the Hawking-Page phase transition in the mu - C processes. As a consequence, the consistency of the weak gravity conjecture of multi-charge for Taub-NUT-AdS black holes at critical points is proved. We conclude that in the presence of the central charge and assuming C = 3/8 l(2), weak gravity conjecture could be satisfied in the Taub-NUT-AdS black holes with (n) over cap << 1.