Linear instability of hairy black holes in Horndeski theory  

作　　者：张超 朱涛 Chao Zhang;Tao Zhu(Beijing Key Laboratory of Optical Detection Technology for Oil and Gas,Basic Research Center for Energy Interdisciplinary,College of Science,China University of Petroleum-Beijing,Beijing 102249,China;Institute for Theoretical Physics and Cosmology,Zhejiang University of Technology,Hangzhou 310023,China;United Center for Gravitational Wave Physics(UCGWP),Zhejiang University of Technology,Hangzhou 310023,China)

机构地区：[1]Beijing Key Laboratory of Optical Detection Technology for Oil and Gas,Basic Research Center for Energy Interdisciplinary,College of Science,China University of Petroleum-Beijing,Beijing 102249,China [2]Institute for Theoretical Physics and Cosmology,Zhejiang University of Technology,Hangzhou 310023,China [3]United Center for Gravitational Wave Physics(UCGWP),Zhejiang University of Technology,Hangzhou 310023,China

出　　处：《Chinese Physics C》2024年第7期253-258,共6页中国物理C（英文版）

基　　金：Supported in part by the National Key Research and Development Program of China(2020YFC2201503);the National Natural Science Foundation of China(12205254,12275238,11675143);the Natural Science Foundation of Zhejiang Province,China(LR21A050001,LY20A050002);the Fundamental Research Funds for the Provincial Universities of Zhejiang Province,China(RF-A2019015);the Science Foundation of China University of Petroleum,Beijing,China(2462024BJRC005)。

摘　　要：Horndeski theory constitutes the most general model of scalar-tensor theories.It has attracted much attention in recent years in relation with black holes,celestial dynamics,stability analysis,etc.It is important to note that,for certain subclasses of Horndeski models,one can obtain analytic solutions for the background fields.This facilitates the investigation of the corresponding stability problems in detail.In particular,we aim to determine the constraints to the model or theory under which the stability conditions can be satisfied.In this study,we focused on a subclass of Horndeski theory and a set of analytic background solutions.In addition,the odd-parity gravitational perturbation and 2nd-order Lagrangian were investigated.Through careful analysis,the instability was identified within the neighborhood of the event horizon.This allows exclusion of a specific geometry for the model.Such an instability is implanted in the structure of the corresponding Lagrangian and is not erased by simply adding numerical constraints on the coupling parameters.As a starting point of our research,the current study provides insights for further exploration of the Horndeski theory.

关 键 词：black holes black hole perturbations scalar-tensor theories Horndeski theory 

分 类 号：P145.8[天文地球—天体物理]