Exact Solutions for Boson-Fermion Stars in (2+1) dimensions

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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19 pages, 5 figures, RevTeX 3.0, second revised version

Scientific paper

10.1103/PhysRevD.58.124017

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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