Einstein-Cartan-Dirac Theory in (1+2)-Dimensions

Details Einstein-Cartan-Dirac Theory in (1+2)-Dimensions Einstein-Cartan-Dirac Theory in (1+2)-Dimensions

2010-02-04

arxiv.org/abs/1002.0958v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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.

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