近日，西安航空大学的Ming Zhang与扬州大学的Chao-Ming Zhang等人合作并取得一项新进展。经过不懈努力，他们获得Einstein-Weyl标量引力下AdS黑洞的解析近似解。相关研究成果已于2023年12月15日在国际知名学术期刊《中国物理C》上发表。

该研究团队考虑了四维时空中具有最小耦合标量场的Einstein-Weyl引力。研究人员利用最小几何变形(MGD)方法，将高度非线性耦合场方程分解为两个子系统，分别描述背景几何形状和标量场源。以Schwarzschild-AdS度规为背景几何，他们利用同伦分析法(HAM)导出了标量场和变形度规函数的解析近似解，并给出了四阶解析近似。此外，他们还讨论了这些解析近似的准确性，并证明它们在整个外部时空中都是足够准确的。

附：英文原文

Title: Analytical approximate solutions of AdS black holes in Einstein-Weyl-scalar gravity

Author: Ming Zhang, Sheng-Yuan Li, De-Cheng Zou, Chao-Ming Zhang

Issue&Volume: 2023-12-15

Abstract: We consider Einstein-Weyl gravity with a minimally coupled scalar field in four dimensional spacetime. Using the minimal geometric deformation (MGD) approach, we split the highly nonlinear coupled field equations into two subsystems that describe the background geometry and scalar field source, respectively. By considering the Schwarzschild-AdS metric as background geometry, we derive analytical approximate solutions of the scalar field and deformation metric functions using the homotopy analysis method (HAM), providing their analytical approximations to fourth order. Moreover, we discuss the accuracy of the analytical approximations, showing they are sufficiently accurate throughout the exterior spacetime.

DOI: 10.1088/1674-1137/acfcb0

Source: http://hepnp.ihep.ac.cn/article/doi/10.1088/1674-1137/acfcb0