Conformal Transformations with Multiple Scalar Fields

Details Conformal Transformations with Multiple Scalar Fields Conformal Transformations with Multiple Scalar Fields

2010-03-04

arxiv.org/abs/1003.1159v2

Phys.Rev.D81:084044,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, no figures. References added to match published version.

Scientific paper

10.1103/PhysRevD.81.084044

Many interesting models incorporate scalar fields with non-minimal couplings to the spacetime Ricci curvature scalar. As is well known, if only one scalar field is non-minimally coupled, then one may perform a conformal transformation to a new frame in which both the gravitational portion of the Lagrangian and the kinetic term for the (rescaled) scalar field assume canonical form. We examine under what conditions the gravitational and kinetic terms in the Lagrangian may be brought into canonical form when more than one scalar field has non-minimal coupling. A particular class of two-field models admits such a transformation, but models with more than two non-minimally coupled fields in general do not.

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