标题： 关于Myers-Perry黑洞的显式热力学函数和极值极限 显示英文标题

标题： On explicit thermodynamic functions and extremal limits of Myers-Perry black holes

摘要： 我们研究了Myers-Perry黑洞的热力学性质，通过推导出明确的基本关系式，从中可以得到温度和比热容关于任意维度内显式控制参数的表达式。利用极端黑洞的定义，我们在任意维度建立了广义Kerr界限。我们研究了任意维度具有相等角动量的Myers-Perry黑洞的热力学几何，并绘制了热力学锥图，捕捉黑洞的极端极限。热力学状态空间被几何地表示为嵌入闵可夫斯基空间中的楔形区域，该楔形区域的张开角度由时空维数和角动量的数量唯一确定。我们的结果可能被用来推广在需要Myers-Perry黑洞极端极限下的热力学不稳定性分析和其他研究。 显示英文摘要

摘要： We study thermodynamic properties of Myers-Perry black holes by deriving explicit fundamental relations from which we can obtain the temperature and specific heat in terms of explicit control parameters in arbitrary dimensions. Using the definition of extremal black holes we establish the generalized Kerr bound in arbitrary dimension. We study thermodynamic geometries of the Myers-Perry black holes with equal angular momenta in arbitrary dimensions and draw thermodynamic cone diagrams which capture the extremal limits of the black holes. Thermodynamic state space is represented geometrically as a wedge embedded in Minkowski space. The opening angle of such a wedge is uniquely determined by the number of spacetime dimensions and the number of angular momenta. Our results can potentially be used to generalize thermodynamic instability analysis and other studies in which extremal limits of the Myers-Perry black holes are required.