No-go theorem for static boson stars with negative cosmological constants
arXiv:1902.06508 · doi:10.1016/j.nuclphysb.2020.114955
Abstract
In a recent paper, Hod has proven no-go theorem for asymptotically flat static regular boson stars. In the present work, we extend discussions to the gravity with a negative cosmological constant. We consider a scalar field vanishing at infinity. In the asymptotically AdS background, we show that spherically symmetric regular boson stars cannot be constructed with self-gravitating static scalar fields, whose potential is positive semidefinite and increases with respect to its argument.
arXiv comment9 pages
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