论文标题
受电荷BTZ黑洞的不同热力学方案的热力学几何形状启发的诊断
Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
论文作者
论文摘要
由于黑洞溶液的渐近结构，有两种不同的热力学方案，用于带电的Banados-Teitelboim-Zanelli（BTZ）黑洞。在一个方案中，带电的BTZ黑洞是超级渗透的，而在另一个方案中，它不是（反向等级不等式饱和）。在本文中，我们研究了不同坐标空间中带电BTZ黑洞的热力学曲率。我们发现，在这两个方案中，热力学曲率始终是正的，这可能与带电BTZ黑洞的黑洞分子之间排斥相互作用的信息有关，如果我们接受热力学曲率和系统的相互作用之间的经验关系。更重要的是，我们从热力学几何形状的角度从歧视这两个方案提供了诊断。对于带电的BTZ黑洞，当反向等距不等式饱和时，极端黑洞的热力学曲率往往是无穷大的，而当违反反向等距不平等现象时，极端黑洞的热力学曲率将变为有限的有限值。
Due to the asymptotic structure of the black hole solution, there are two different thermodynamic schemes for the charged Banados-Teitelboim-Zanelli (BTZ) black hole. In one scheme, the charged BTZ black hole is super-entropic, while in the other, it is not (the reverse isoperimetric inequality is saturated). In this paper, we investigate the thermodynamic curvature of the charged BTZ black hole in different coordinate spaces. We find that in both schemes, the thermodynamic curvature is always positive, which may be related to the information of repulsive interaction between black hole molecules for the charged BTZ black hole if we accept an empirical relationship between the thermodynamic curvature and interaction of a system. More importantly, we provide a diagnosis for the discrimination of the two schemes from the point of view of the thermodynamics geometry. For the charged BTZ black hole, when the reverse isoperimetric inequality is saturated, the thermodynamic curvature of an extreme black hole tends to be infinity, while when the reverse isoperimetric inequality is violated, the thermodynamic curvature of the extreme black hole goes to a finite value.
