Time-dependent scalar fields in modified gravities in a stationary spacetime

The European Physical Journal C

Shao-Wen Wei¹  Bao-Ming Gu¹  Yu-Xiao Liu¹  Yi Zhong¹ 

[1] Institute of Theoretical Physics, Lanzhou University, 730000, Lanzhou, People’s Republic of China;

关键词: Black Hole;    Scalar Field;    Null Energy Condition;    Stationary Black Hole;    Stationary Spacetime;   

DOI  :  10.1140/epjc/s10052-016-4225-3

来源: Springer

【 摘 要 】

Most no-hair theorems involve the assumption that the scalar field is independent of time. Recently in Graham and Jha (Phys. Rev. D90: 041501, 2014) the existence of time-dependent scalar hair outside a stationary black hole in general relativity was ruled out. We generalize this work to modified gravities and non-minimally coupled scalar field with the additional assumption that the spacetime is axisymmetric. It is shown that in higher-order gravity such as metric f(R) gravity the time-dependent scalar hair does not exist. In Palatini f(R) gravity and the non-minimally coupled case the time-dependent scalar hair may exist.

【 授权许可】

CC BY