Spinor coupling to the weak Poincare gauge theory of gravity in three dimensions

Abstract

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 $Ad{S}_3$ geometry in the absence of the Dirac condensate. Secondly we investigate a BTZ-like solution.

We added a new subsection, corrected syntax errors, extended dicussion. To be published in Phys. Rev. D

References in corpus (8)

• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• New solutions in 3D gravity
• Properties of Solutions in 2+1 Dimensions
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• Nonlinear electrodynamics in 3D gravity with torsion
• Dirac field in topologically massive gravity
• Einstein-Cartan-Dirac Theory in (1+2)-Dimensions

Cited by in corpus (2)

• Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
• Scale invariant Einstein-Cartan theory in three dimensions