https://doi.org/10.1140/epjc/s10052-013-2279-z
Regular Article - Theoretical Physics
Einstein–Cartan–Dirac theory in (1+2)-dimensions
1
Department of Physics, Koç University, 34450, Sarıyer, Istanbul, Turkey
2
Department of Physics Engineering, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
3
Department of Physics, Pamukkale University, 20070, Kınıklı, Denizli, Turkey
* e-mail: tdereli@ku.edu.tr
Received:
7
December
2012
Published online:
17
January
2013
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.
© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica, 2013
