Exact Solutions for Boson-Fermion Stars in (2+1) dimensions
Kenji Sakamoto, Kiyoshi Shiraishi
Abstract
We solve Einstein equations coupled to a complex scalar field with infinitely large self-interaction, degenerate fermions, and a negative cosmological constant in (2+1) dimensions. Exact solutions for static boson-fermion stars are found when circular symmetry is assumed. We find that the minimum binding energy of boson-fermion star takes a negative value if the value of the cosmological constant is sufficiently small.
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