Duality Invariance of Cosmological Perturbation Spectra

Details Duality Invariance of Cosmological Perturbation Spectra Duality Invariance of Cosmological Perturbation Spectra

1998-09-22

arxiv.org/abs/gr-qc/9809062v2

Phys.Rev. D60 (1999) 023507

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, Latex with Revtex. Hamiltonian formulation added and discussion expanded. Version to appear in Phys Rev D

Scientific paper

10.1103/PhysRevD.60.023507

I show that cosmological perturbation spectra produced from quantum fluctuations in massless or self-interacting scalar fields during an inflationary era remain invariant under a two parameter family of transformations of the homogeneous background fields. This relates slow-roll inflation models to solutions which may be far from the usual slow-roll limit. For example, a scale-invariant spectrum of perturbations in a minimally coupled, massless field can be produced by an exponential expansion with $a\propto e^{Ht}$, or by a collapsing universe with $a\propto (-t)^{2/3}$.

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