标题： 高斯-博内和巴罗黑洞的表面引力分析 显示英文标题

标题： Surface gravity analysis in Gauss-Bonnet and Barrow black holes

摘要： 由于我们可以说我们有不同类型的视界分类，因此视界表面引力（SG）有不同的定义。 表面引力在黑洞（BH）热力学定律中起着基础作用，在事件视界上是恒定的。 表面引力也参与霍金辐射的发射，与其温度有关。 关于最后一个问题，渗透到霍金辐射中的量子特性直接表明黑洞的温度与其面积直接相关，其熵与视界面积成正比。 在这项工作中，我们分析了事件视界的一些方面。 分析了对于静态黑洞，表面引力如何经典地定义，以及径向压力的计算。 因此，通过黑洞力学定律，表面引力与热谱的实际热力学温度相关联。 我们在两种不同的黑洞场景中讨论了这些主题，分别是五维高斯-博内特黑洞和最近发展的巴罗熵构造。 我们讨论了量子涨落如何影响这两个量。 显示英文摘要

摘要： We have different definitions of the surface gravity (SG) of a horizon since we can say we have distinct classifications of horizons. The SG has an underlying role in the laws of black hole (BH) thermodynamics, being constant in the event horizon. The SG also acts in the emission of Hawking radiation being connected to its temperature. Concerning this last issue, the quantum features that permeate Hawking radiation provide us a direct indication that a BH has its temperature directly connected to its area and that its entropy is proportional to the horizon area. In this work we analyzed some aspects of event horizons. Analyzing how the SG can be classically defined for stationary BHs together with the radial pressure computation. So, the SG, through the laws of BH mechanics is connected to the real thermodynamical temperature of a thermal spectrum. We discussed these subjects in two different BHs scenarios, the five dimensional Gauss-Bonnet one and the recently developed Barrow entropy construction. We discussed how the quantum fluctuations affect these both quantities.