Improved Reall-Santos method for AdS black holes in general 4-derivative gravities  

作　　者：Peng-Ju Hu Liang Ma Hong Lü Yi Pang 

机构地区：[1]Center for Joint Quantum Studies and Department of Physics,School of Science,Tianjin University,Tianjin 300350,China [2]Joint School of National University of Singapore and Tianjin University,International Campus of Tianjin University,Fuzhou 350207,China [3]Peng Huanwu Center for Fundamental Theory,Hefei 230026,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第8期74-86,共13页中国科学：物理学、力学、天文学（英文版）

基　　金：supported in part by the National Natural Science Foundation of China(Grant Nos.11935009,and 12375052);the National Natural Science Foundation of China(Grant No.12175164);supported by the National Key Research and Development Program(Grant No.2022YFE0134300);partially supported by Peng Huanwu Center for Fundamental Theory(Grant No.12247103)。

摘　　要：For asymptotically flat black holes,Reall-Santos method is a convenient tool to compute leading higher derivative corrections to the thermodynamic quantities without actually solving the modified field equations.However,there are subtleties in its generalization to asymptotically AdS black holes with general higher derivative corrections.First of all,it is necessary to know all the higher derivative holographic counterterms and the surface terms implementing the variational principle and subtracting the divergence.One then needs to solve for the modified AdS radius and rescale the time coordinate in an appropriate way such that the induced metric on the conformal boundary of AdS black hole is not modified.We observe that Reall-Santos method can be directly applied to a particular 4-derivative gravity model,known as the Einstein-Weyl gravity,which does not modify the AdS radius and requires only the Gibbons-Hawking-York term and holographic counterterms for the 2-derivative theory.We thus suggest that to compute the thermodynamic quantities of AdS black holes in general 4-derivative theories of gravity,one simply needs to transform it to a Einstein-Weyl gravity with identical thermodynamic variables by appropriate field redefinitions.We explicitly verify this proposal with spherically-symmetric and static charged black holes in Einstein-Maxwell theory extended with generic 4-derivative interactions.

关 键 词：black holes thermodynamics higher-derivative corrections effective theories higher dimensional black holes quantum gravity 

分 类 号：P145.8[天文地球—天体物理]