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arXiv · 1209.5239

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

Özcan Sert·Muzaffer Adak
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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 $AdS_3$ geometry in the absence of the Dirac condensate. Secondly we investigate a BTZ-like solution.

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Özcan Sert, Muzaffer Adak. 2012-11-22. Spinor coupling to the weak Poincare gauge theory of gravity in three dimensions. https://doi.org/10.1103/physrevd.86.124033

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