English

On instabilities of scalar hairy regular compact reflecting stars

General Relativity and Quantum Cosmology 2018-11-05 v2 High Energy Physics - Theory

Abstract

We study the system constructed by charged scalar fields linearly coupled to asymptotically flat horizonless compact reflecting stars. We obtain bounds on the charge of the scalar field, below which the scalar hairy star is expected to suffer from nonlinear instabilities. It means that scalar hairy regular configurations are unstable for scalar fields of small charge. For the highly-charged star, there are also bounds on radii of regular compact reflecting stars. When the star radius is below the bound, the hairy star is always unstable.

Keywords

Cite

@article{arxiv.1810.04102,
  title  = {On instabilities of scalar hairy regular compact reflecting stars},
  author = {Yan Peng},
  journal= {arXiv preprint arXiv:1810.04102},
  year   = {2018}
}

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8 pages