Einstein gravity with torsion induced by the spinor

Journal Article · Fri Nov 15 04:00:00 EST 2019 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2019.167940· OSTI ID:22848445

Highlights: •Study of Einstein gravity with torsion minimally coupled with a spinor field. •Looking for circularly symmetric rotating exact solutions in (2+1) dimensions. •Results appear consistent with literature. -- Abstract: We consider spinor fields, minimally coupled to Einstein gravity with torsion in homogeneous and isotropic background in (2+1) dimensions. We set up the total action function of spin 1/2 particles with gravitation. We find the Dirac equation, Einstein and Cartan equations by taking the variation of the action with respect to the spinor field, the dreibein field and the Lorentz connection field. We solve these equations analytically for the spinor fields. We find the product of the spinor field and its conjugate takes a constant value. The circularly symmetric rotating exact solutions of Einstein and Cartan equations are found.

• OSTI ID: 22848445
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 410; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIRAC EQUATION
EXACT SOLUTIONS
GRAVITATION
SPIN
SPINOR FIELDS
SPINORS
SYMMETRY