Phys. Rev. D 46, 1450–1452 (1992)Nonminimally coupled scalar field and Ashtekar variablesReceived 30 January 1992; published in the issue dated 15 August 1992 The nonminimal 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 nonpolynomial in the scalar field. © 1992 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.46.1450
DOI:
10.1103/PhysRevD.46.1450
PACS:
04.20.Fy, 04.20.Cv, 02.40.+m
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