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arXiv · 1002.0958

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

T. Dereli·N. Ozdemir·O. Sert
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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 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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T. Dereli, N. Ozdemir, O. Sert. 2010-02-04. Einstein-Cartan-Dirac Theory in (1+2)-Dimensions. https://arxiv.org/abs/1002.0958

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