论文标题
在较高的曲率理论中，在一阶校正对黑洞热力学的校正
On the first order corrections to the black hole thermodynamics in higher curvature theories of gravity
论文作者
论文摘要
在经过修改的重力理论中，可以将较高的曲率项添加到爱因斯坦 - 希尔伯特的作用中。从传统上讲，较高曲率项对黑洞热力学的影响很难获得。在本文中，我们表明，至少在一阶水平上，可以轻松获得Schwarzschild黑洞热力学的校正，而无需求解修改的黑洞指标。我们研究了一些特定的例子，这些例子在文献中产生已知结果以及以前未知的结果。此外，我们通过概括一阶分析来发现一些非扰动精确的结果。特别是，发现并证明了爱因斯坦欧几里得积分与较高的曲率项之间的新型关系。
In modified theories of gravity, higher curvature terms may be added to the Einstein-Hilbert action. Conventionally, the effects of the higher curvature terms on the black hole thermodynamics are rather difficult to obtain. In this paper, we show that, at least at the first order level, the corrections to the thermodynamics of the Schwarzschild black hole can be easily obtained, without solving the modified black hole metric. We examine some specific examples, which produces the known results in the literature, as well as those previously unknown. Furthermore, we find some nonperturbative exact results by generalizing the first-order analysis. In particular, a novel relation between the Euclidean integrals of the Einstein--Hilbert term and the higher curvature terms is found and proved.
