Einstein-Cartan-Dirac theory in (1+2)-dimensions

Tekin Dereli; Neşe Özdemir; Özcan Sert

doi:10.1140/epjc/s10052-013-2279-z

Einstein-Cartan-Dirac theory in (1+2)-dimensions

Tekin Dereli^*, Neşe Özdemir, Özcan Sert

^*Corresponding author for this work

Department of Physics Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 a quadratic spinor condensate field. Circularly symmetric, exact solutions that collapse to AdS₃ geometry in the absence of the Dirac condensate are found.

Original language	English
Article number	2279
Pages (from-to)	1-5
Number of pages	5
Journal	European Physical Journal C
Volume	73
Issue number	1
DOIs	https://doi.org/10.1140/epjc/s10052-013-2279-z
Publication status	Published - 2013

Funding

TD is supported in part by the Turkish Academy of Sciences (TÜBA).

Funders	Funder number
TÜBA
Türkiye Bilimler Akademisi

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10.1140/epjc/s10052-013-2279-z

Cite this

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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 a quadratic spinor condensate field. Circularly symmetric, exact solutions that collapse to AdS3 geometry in the absence of the Dirac condensate are found.",

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Einstein-Cartan-Dirac theory in (1+2)-dimensions

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