摘要
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.
作者
张明
李盛源
邹德成
张晁铭
Ming Zhang;Sheng-Yuan Li;De-Cheng Zou;Chao-Ming Zhang(Faculty of Science,Xi’an Aeronautical University,Xi’an 710077 China;School of Physics,Northwest University,Xi’an,710069,China;Center for Gravitation and Cosmology,College of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China;College of Physics and Communication Electronics,Jiangxi Normal University,Nanchang 330022,China)
基金
supported by the Natural Science Basic Research Program of Shaanxi,China (2023-JC-QN-0053)
supported by the Natural Science Foundation of China (12365009)
the Natural Science Foundation of Jiangxi Province,China (20232BAB201039)
