论文标题
超叠加黑洞的热力学曲率和等级定理之间的对应关系
The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
论文作者
论文摘要
在本文中，从$ 4 $维的超叠加黑洞建立了热力学曲率和等级定理之间的初步对应关系。我们发现，超级缩短黑洞的热力学曲率为负，这意味着如果我们接受类似观察结果，即热力学曲率反映了黑洞系统中分子之间的相互作用，则可能在现象学上具有吸引力。同时，我们得出一个普遍的结论，即超渗透黑孔的极端黑洞的热力学曲率具有（正或负）残留物，与黑洞的熵互相成正比。
In this paper, a preliminary correspondence between the thermodynamic curvature and the isoperimetric theorem is established from a $4$-dimensional ultraspinning black hole. We find that the thermodynamic curvature of ultraspinning black hole is negative which means the ultraspinning black hole is likely to present an attractive between its molecules phenomenologically if we accept the analogical observation that the thermodynamic curvature reflects the interaction between molecules in a black hole system. Meanwhile we obtain a general conclusion that the thermodynamic curvature of the extreme black hole of the super-entropic black hole has a (positive or negative) remnant approximately proportional to the reciprocal of entropy of the black hole.
