Exact solutions for boson-fermion stars in 2+1 dimensions

Kenji Sakamoto, Kiyoshi Shiraishi
1998 Physical Review D, Particles and fields  
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.
doi:10.1103/physrevd.58.124017 fatcat:4ni3qub6hratzd5oykloyywen4