Conformal Transformations with Multiple Scalar Fields - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: Many interesting models incorporate scalar fields with non-minimal couplingsto the spacetime Ricci curvature scalar. As is well known, if only one scalarfield is non-minimally coupled, then one may perform a conformal transformationto a new frame in which both the gravitational portion of the Lagrangian andthe kinetic term for the rescaled scalar field assume canonical form. Weexamine under what conditions the gravitational and kinetic terms in theLagrangian may be brought into canonical form when more than one scalar fieldhas non-minimal coupling. A particular class of two-field models admits such atransformation, but models with more than two non-minimally coupled fields ingeneral do not.



Author: David I. Kaiser

Source: https://arxiv.org/







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