Einstein-Cartan-Dirac Theory in (1+2)-Dimensions
General Relativity and Quantum Cosmology
2010-02-05 v1
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 the Dirac field. Circularly symmetric, exact solutions that collapse to AdS_3 geometry in the absence of a Dirac spinor are found.
Cite
@article{arxiv.1002.0958,
title = {Einstein-Cartan-Dirac Theory in (1+2)-Dimensions},
author = {T. Dereli and N. Ozdemir and O. Sert},
journal= {arXiv preprint arXiv:1002.0958},
year = {2010}
}