Regular Article - Theoretical Physics
Time-dependent scalar fields in modified gravities in a stationary spacetime
Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, People’s Republic of China
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Accepted: 23 June 2016
Published online: 6 July 2016
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.
© The Author(s), 2016