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Scalar field condensation behaviors around reflecting shells in Anti-de Sitter spacetimes
Authors:Yan Peng  Bin Wang  Yunqi Liu
Institution:1.School of Mathematical Sciences,Qufu Normal University,Qufu,China;2.Center for Gravitation and Cosmology, College of Physical Science and Technology,Yangzhou University,Yangzhou,China;3.Department of Physics and Astronomy, Center of Astronomy and Astrophysics,Shanghai Jiao Tong University,Shanghai,China
Abstract:We study scalar condensations around asymptotically Anti-de Sitter (AdS) regular reflecting shells. We show that the charged scalar field can condense around charged reflecting shells with both Dirichlet and Neumann boundary conditions. In particular, the radii of the asymptotically AdS hairy shells are discrete, which is similar to cases in asymptotically flat spacetimes. We also provide upper bounds for the radii of the hairy Dirichlet reflecting shells and above the bound, the scalar field cannot condense around the shell.
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