A note on perfect scalar fields

Sanil Unnikrishnan and L. Sriramkumar
Phys. Rev. D 81, 103511 – Published 10 May 2010

Abstract

We derive a condition on the Lagrangian density describing a generic, single, noncanonical scalar field, by demanding that the intrinsic, nonadiabatic pressure perturbation associated with the scalar field vanishes identically. Based on the analogy with perfect fluids, we refer to such fields as perfect scalar fields. It is common knowledge that models that depend only on the kinetic energy of the scalar field (often referred to as pure kinetic models) possess no nonadiabatic pressure perturbation. While we are able to construct models that seemingly depend on the scalar field and also do not contain any nonadiabatic pressure perturbation, we find that all such models that we construct allow a redefinition of the field under which they reduce to pure kinetic models. We show that, if a perfect scalar field drives inflation, then, in such situations, the first slow roll parameter will always be a monotonically decreasing function of time. We point out that this behavior implies that these scalar fields cannot lead to features in the inflationary, scalar perturbation spectrum.

  • Received 9 February 2010

DOI:https://doi.org/10.1103/PhysRevD.81.103511

©2010 American Physical Society

Authors & Affiliations

Sanil Unnikrishnan1,* and L. Sriramkumar2,†

  • 1IUCAA, Post Bag 4, Ganeshkhind, Pune 411 007, India
  • 2Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad 211 019, India

  • *sanil@iucaa.ernet.in
  • sriram@hri.res.in

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Issue

Vol. 81, Iss. 10 — 15 May 2010

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