Non-Gravitating Scalar Field in the FRW Background

Details Non-Gravitating Scalar Field in the FRW Background Non-Gravitating Scalar Field in the FRW Background

2006-10-10

arxiv.org/abs/hep-th/0610109v2

Gen.Rel.Grav.40:93-105,2008

Physics

High Energy Physics

High Energy Physics - Theory

7 Pages, 2 figures, RevTeX4, v2:added a section on regularized energy-momentum tensor, references and conclusions modified

Scientific paper

10.1007/s10714-007-0516-1

We study interacting scalar field theory non-minimally coupled to gravity in the FRW background. We show that for a specific choice of interaction terms, the energy-momentum tensor of the scalar field vanishes, and as a result the scalar field does not gravitate. The naive space dependent solution to equations of motion gives rise to singular field profile. We carefully analyze the energy-momentum tensor for such a solution and show that the singularity of the solution gives a subtle contribution to the energy-momentum tensor. The space dependent solution therefore is not non-gravitating. Our conclusion is applicable to other space-time dependent non-gravitating solutions as well. We study hybrid inflation scenario in this model when purely time dependent non-gravitating field is coupled to another scalar field.

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