论文标题
牛顿常数可变的BTZ黑洞的热力学重访
Revisit on thermodynamics of BTZ black hole with variable Newton constant
论文作者
论文摘要
BTZ黑洞的热力学用牛顿常数可变。将新的共轭变量，中央电荷$ C $和化学势$μ$作为热力学变量引入。在这种形式主义中，热力学和欧拉关系的第一定律和欧拉关系与扩展相空间形式主义中的Smarr关系是完美匹配的。与标准的广泛热力学兼容，黑洞质量被验证为相关广泛变量的一阶均质功能，并恢复了内部能量的作用。此外，热能在我们预期的正式中也导致了一阶均匀功能，并且在高温极限中的渐近行为被有趣地显示出来。热容量的非永久性表明旋转和带电的BTZ黑洞在热力学上是稳定的。
The thermodynamics of the BTZ black holes are revisited with variable Newton constant. A new pair of conjugated variables, the central charge $C$ and the chemical potential $μ$, is introduced as thermodynamic variables. The first law of thermodynamics and the Euler relation, instead of the Smarr relation in the extended phase space formalism, are matched perfectly in this formalism. Compatible with standard extensive thermodynamics, the black hole mass is verified to be a first order homogeneous function of the related extensive variables, and restores the role of internal energy. In addition, the heat capacity has also resulted in a first order homogeneous function in this formalism as we expected, and an asymptotic behavior in high temperature limit is shown intriguingly. The non-negatively of heat capacity indicates that the rotating and charged BTZ black holes are thermodynamically stable.
