A no-go theorem for scalar fields with couplings from Ginzburg-Landau models

Understand

Recently Hod proved a no-go theorem that static scalar fields cannot form spherically symmetric boson stars in the asymptotically flat background.

• On the other side, scalar fields can be coupled to the gradient according to next-to-leading order Ginzburg-Landau models.
• In the present work, we extend Hod's discussions by considering couplings between static scalar fields and the field gradient.
• For a non-negative coupling parameter, we show that there is no asymptotically flat spherically symmetric boson stars made of coupled static scalar fields.