No-go theorem for static boson stars with negative cosmological constants

Understand

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.