Mini-soliton stars

Mathematics – Logic

Scientific paper

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151

Exact Solutions, Black Holes

Scientific paper

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 ~6×10-16 cm, a mass ~1010 kg, and a density ~1041 times that of a neutron star.

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