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25 January 2025
 
  » arxiv » gr-qc/9207001

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Non-Minimally Coupled Scalar Field and Ashtekar Variables
Riccardo Capovilla ;
Date 21 Jul 1992
Journal Phys.Rev. D46 (1992) 1450-1452
Subject gr-qc
AbstractThe non-minimal coupling of a scalar field is considered in the framework of Ashtekar’s new variables formulation of gravity. A first order action functional for this system is derived in which the field variables are a tetrad field, and an SL(2,C) connection, together with the scalar field. The tetrad field and the SL(2,C) connection are related to the Ashtekar variables for the vacuum case by a conformal transformation. A canonical analysis shows that for this coupling the equations of Ashtekar’s formulation of canonical gravity are non-polynomial in the scalar field. (to be published in Phys. Rev. D)
Source arXiv, gr-qc/9207001
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