Non-Gravitating Scalar Field in the FRW Background
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0610109,
title = {Non-Gravitating Scalar Field in the FRW Background},
author = {Nabamita Banerjee and Rajeev Kumar Jain and Dileep P. Jatkar},
journal= {arXiv preprint arXiv:hep-th/0610109},
year = {2008}
}
Comments
7 Pages, 2 figures, RevTeX4, v2:added a section on regularized energy-momentum tensor, references and conclusions modified