Einstein-Cartan-Dirac theory in (1+2)-dimensions
Abstract
Einstein-Cartan theory is formulated in (1+2) dimensions using the algebra of exterior differential forms. A Dirac spinor is coupled to gravity and the field equations are obtained by a variational principle. The space-time torsion is found to be given algebraically in terms of a quadratic spinor condensate field. Circularly symmetric, exact solutions that collapse to AdS 3 geometry in the absence of the Dirac condensate are found.
- Publication:
-
European Physical Journal C
- Pub Date:
- January 2013
- DOI:
- 10.1140/epjc/s10052-013-2279-z
- Bibcode:
- 2013EPJC...73.2279D