No hair theorem for massless scalar fields outside asymptotically flat horizonless reflecting compact stars
arXiv:1904.00911 · doi:10.1140/epjc/s10052-019-7378-z
Abstract
In a recent paper, Hod started a study on no scalar hair theorem for asymptotically flat spherically symmetric neutral horizonless reflecting compact stars. In fact, Hod's approach only rules out massive scalar fields. In the present paper, for massless scalar fields outside neutral horizonless reflecting compact stars, we provide a rigorous mathematical proof on no hair theorem. We show that asymptotically flat spherically symmetric neutral horizonless reflecting compact stars cannot support exterior massless scalar field hairs.
7 pages
References in corpus (16)
- Kerr-Newman scalar clouds
- Scalar field configurations supported by charged compact reflecting stars in a curved spacetime
- Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell
- Charged reflecting stars supporting charged massive scalar field configurations
- Marginally bound resonances of charged massive scalar fields in the background of a charged reflecting shell
- No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
- On instabilities of scalar hairy regular compact reflecting stars
- Static scalar field condensation in regular asymptotically AdS reflecting star backgrounds
- Hair mass bound in the black hole with nonzero cosmological constants
- Scalar field condensation behaviors around reflecting shells in Anti-de Sitter spacetimes
- Hair distributions in noncommutative Einstein-Born-Infeld black holes
- Scalar condensation behaviors around regular Neuman reflecting stars
- Hair formation in the background of noncommutative reflecting stars
- No hair for spherically symmetric neutral reflecting stars: nonminimally coupled massive scalar fields
- No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
- No hair theorem for bound-state massless static scalar fields outside horizonless Neumann compact stars