Regular Article - Theoretical Physics
No scalar hair behaviors of static massive scalar fields with nodes
School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China
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Accepted: 16 June 2020
Published online: 26 June 2020
We study no scalar field hair behavior for spherically symmetric objects in the scalar-Gauss–Bonnet gravity. In this work, we focus on static massive scalar fields with nodes. We analytically obtain a bound on the coupling parameter. Below the bound, the static massive scalar field with nodes cannot exist outside the object. In particular, our conclusion is independent of surface boundary conditions.
© The Author(s), 2020