Nontopological soliton solutions of a complex scalar field in general relativity are derived. The theory is renormalizable (except for graviton loops), and these solutions are valid both classically and quantum mechanically. We study the ground states (which are stable) as well as the excited states, but restrict ourselves to spherically symmetric ones. Their physical characteristics can be rather remarkable. For example, if the mass of the scalar field is about 30 GeV, then a mini-soliton star could have a radius ∼6×${10}^{\mathrm{-}16}$ cm, a mass ∼${10}^{10}$ kg, and a density ∼${10}^{41}$ times that of a neutron star.

• Received 28 October 1986

DOI:https://doi.org/10.1103/PhysRevD.35.3640