Horizon crossing and inflation with large η

Details Horizon crossing and inflation with large η Horizon crossing and inflation with large η

2005-03-04

arxiv.org/abs/gr-qc/0503017v3

Phys.Rev. D72 (2005) 023515

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 1 figure, RevTeX (V3: version to appear in PRD)

Scientific paper

10.1103/PhysRevD.72.023515

I examine the standard formalism of calculating curvature perturbations in inflation at horizon crossing, and derive a general relation which must be satisfied for the horizon crossing formalism to be valid. This relation is satisfied for the usual cases of power-law and slow roll inflation. I then consider a model for which the relation is strongly violated, and the curvature perturbation evolves rapidly on superhorizon scales. This model has Hubble slow roll parameter $\eta = 3$, but predicts a scale-invariant spectrum of density perturbations. I consider the case of hybrid inflation with large $\eta$, and show that such solutions do not solve the ``$\eta$ problem'' in supergravity. These solutions correspond to field evolution which has not yet relaxed to the inflationary attractor solution, and may make possible new, more natural models on the string landscape.

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