论文标题
评论森的静态和旋转广告的经典熵功能$ _4 $黑洞
Comments on Sen's Classical Entropy Function for Static and Rotating AdS$_4$ Black Holes
论文作者
论文摘要
我们考虑了Sen的经典熵功能形式主义的各个方面，用于渐近广告$ _4 $黑洞，重点放在其对Bekenstein-Hawking熵上捕获更高衍生校正的功效。形式主义具有基于接近摩恩的对称性的重要优势，并且不需要了解完整的插值超级解决方案，也不需要其广告$ _4 $渐近学。对于静态情况，我们专注于在存在各种较高衍生术语的术语中应用熵函数形式主义，这些较高的衍生术语以保形超级重力动机。我们发现使用全黑洞解决方案和WALD的熵公式的最近报道的结果一致。对于旋转情况，我们证明了形式主义的修改版本会产生一种背景，该背景与Bardeen-Horowitz的Bardeen-Horowitz极限相吻合，该限制已知的旋转，电荷广告$ _4 $黑洞，并为黑洞熵提供了快速的方法，包括更高的衍生物更正。我们得出的结论是，Sen的经典熵功能形式主义是一种可行且高效的方法，可以捕获渐近广告的熵$ _4 $黑洞，尽管自然而然地缺少了全黑孔解决方案的全球方面，但它们自然而然地缺少某些关系。
We consider various aspects of Sen's classical entropy function formalism for asymptotically AdS$_4$ black holes with emphasis on its efficacy to capture higher derivative corrections to the Bekenstein-Hawking entropy. The formalism has the important advantage of being based on near-horizon symmetries and does not require knowledge of the full interpolating supergravity solution, nor of its AdS$_4$ asymptotics. For the static case, we focus on applying the entropy function formalism in the presence of various higher derivative terms motivated in conformal supergravities; we find agreement with recently reported results utilizing the full black hole solutions and Wald's entropy formula. For the rotating case, we demonstrate that a modified version of the formalism generates a background that coincides precisely with the Bardeen-Horowitz limit of known rotating, electrically charged AdS$_4$ black holes and provides a swift approach to the black hole entropy, including higher derivatives corrections. We conclude that Sen's classical entropy function formalism is a viable and highly efficient approach to capturing higher-derivative corrections to the entropy of asymptotically AdS$_4$ black holes albeit naturally missing certain relations arising from global aspects of the full black hole solution.
