  Minimal coupling of a Dirac field to gravity with the most general
non-propagating torsion is considered in (1+2)-dimensions. The field equations
are obtained from a lagrangian by a variational principle. The space-time
torsion is calculated algebraically in terms of a quadratic spinor condensate
plus coupling coefficients. Firstly we give circularly symmetric rotating exact
solutions that collapse to $AdS_3$ geometry in the absence of the Dirac
condensate. Secondly we investigate a BTZ-like solution.

General Relativity and Quantum Cosmology;High Energy Physics - Phenomenology