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.
9 pages
References in corpus (31)
- Kerr-Newman scalar clouds
- Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
- Kerr-Newman black holes with stationary charged scalar clouds
- Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
- Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
- Non-linear Q-clouds around Kerr black holes
- Upper bound on the radii of black-hole photonspheres
- General relativistic polytropes with a repulsive cosmological constant
- The large-mass limit of cloudy black holes
- Excited Kerr black holes with scalar hair
- Chaotic dynamics of strings in charged black hole backgrounds
- Classical Yang-Mills black hole hair in anti-de Sitter space
- Charged massive scalar field configurations supported by a spherically symmetric charged reflecting shell
- Kerr black holes with synchronised scalar hair and higher azimuthal harmonic index
- Superradiance in the BTZ black hole with Robin boundary conditions
- Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
- No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
- On instabilities of scalar hairy regular compact reflecting stars
- Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model
- The extreme orbital period in scalar hairy kerr black holes
- Skyrmions, Skyrme stars and black holes with Skyrme hair in five spacetime dimension
- Analytic study of self-gravitating polytropic spheres with light rings
- Hair distributions in noncommutative Einstein-Born-Infeld black holes
- Hair formation in the background of noncommutative reflecting stars
- Bounds on the mass-to-radius ratio for non-compact field configurations
- No-go theorem for static boson stars
- Upper bound on the radii of regular ultra-compact star photonspheres
- No hair theorem for spherically symmetric regular compact stars with Dirichlet boundary conditions
- Large regular reflecting stars have no scalar field hair
- No scalar hair theorem for neutral Neumann stars: static massive scalar fields nonminimally coupled to gravity
- No-go theorem for spatially regular boson stars made of static nonminimally coupled massive scalar fields