标题： 非广延和准齐次黑洞热力学 显示英文标题

标题： Non-extensive and quasi-homogeneous black hole thermodynamics

摘要： 我们研究了黑洞的热力学性质，在热力学和统计层面考虑了其熵的非扩展性。 为此，我们将Rényi熵解释为决定基本热力学方程的量，该方程由一个准齐次函数表示。 因此，Rényi参数成为了一个独立的热力学变量，必须在扩展热力学的框架内进行处理。 作为特例，我们使用几何热力学的形式来表明，对于Rényi参数的某些值，Schwarzschild黑洞可以变得稳定。 显示英文摘要

摘要： We study the thermodynamic properties of black holes, taking into account the non-extensivity of their entropy at the thermodynamic and statistical level. To this end, we interpret the R\'enyi entropy as determining the fundamental thermodynamic equation, which is represented by a quasi-homogeneous function. As a consequence, the R\'enyi parameter turns out to be an independent thermodynamic variable that must be treated in the framework of extended thermodynamics. As a particular example, we use the formalism of geometrothermodynamics to show that the Schwarzschild black hole can become stable for certain values of the R\'enyi parameter.