English

On instabilities of stationary scalar field configurations supported by reflecting compact stars

General Relativity and Quantum Cosmology 2019-09-18 v2 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We study instabilities of the system composed of stationary scalar fields and asymptotically flat horizonless reflecting compact stars. In the probe limit, we obtain bounds on the scalar field frequency. Below this bound, stationary hairy stars are expected to suffer from nonlinear instabilities under massless field perturbations. In other words, we prove that stationary scalar hairy stars are unstable for scalar fields with small frequency.

Keywords

Cite

@article{arxiv.1908.02104,
  title  = {On instabilities of stationary scalar field configurations supported by reflecting compact stars},
  author = {Yan Peng},
  journal= {arXiv preprint arXiv:1908.02104},
  year   = {2019}
}

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9 pages