https://doi.org/10.1140/epjc/s10052-022-10497-5
Regular Article - Theoretical Physics
A no-go theorem for scalar fields with couplings from Ginzburg–Landau models
1
School of Physics and Physical Engineering, Qufu Normal University, 273165, Qufu, Shandong, China
2
School of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, China
Received:
11
May
2022
Accepted:
4
June
2022
Published online:
29
June
2022
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.
© The Author(s) 2022
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