Einstein-Cartan-Dirac theory in (1+2)-dimensions


Dereli T., Özdemir N. , Sert O.

EUROPEAN PHYSICAL JOURNAL C, vol.73, no.1, 2013 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 73 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.1140/epjc/s10052-013-2279-z
  • Title of Journal : EUROPEAN PHYSICAL JOURNAL C

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.