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arXiv · 2203.10341

Dynamics of scalar hair with self-interactions around a Schwarzchild black hole

Yu-Peng Zhang·Yong-Qiang Wang·Shao-Wen Wei·Yu-Xiao Liu
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Abstract

In this paper, we study the dynamics of scalar hair around a Schwarzchild black hole. The scalar hair is sourced by the Gauss-Bonnet invariant with a linear coupling. We work perturbatively in the coupling constant and ignore the back-reaction of the scalar hair and the Gauss-Bonnet invariant. We evolve the scalar field in the background of a Schwarzchild black hole and study the dynamical formation of scalar hair with different self-interactions. We integrate the energy and compute the energy flux of the scalar hair in terms of the canonical energy-momentum tensor and give the corresponding dependence on the self-interactions. Our results allow us to estimate the radiation and the condensation of scalar field with different self-interactions, these would improve our understanding for the dynamical scalarization of black holes and the possible configuration of the scalar hair in scalar Gauss-Bonnet gravity.

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Yu-Peng Zhang, Yong-Qiang Wang, Shao-Wen Wei, Yu-Xiao Liu. 2022-07-31. Dynamics of scalar hair with self-interactions around a Schwarzchild black hole. https://doi.org/10.1103/physrevd.106.024027

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