Inflationary Attractors and Perturbation Spectra in Generally Coupled Gravity

Details Inflationary Attractors and Perturbation Spectra in Generally Coupled Gravity Inflationary Attractors and Perturbation Spectra in Generally Coupled Gravity

1993-03-19

arxiv.org/abs/gr-qc/9303023v1

Phys.Rev. D47 (1993) 4267-4272

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

to appear in Phys. Rev. D, 10 pages, 4 figures available (also by fax), LATEX, OAR 93/4

Scientific paper

10.1103/PhysRevD.47.4267

A generic outcome of theories with scalar-tensor coupling is the existence of inflationary attractors, either power-law or de Sitter. The fluctuations arising during this phase are Gaussian and their spectrum depends on the wavenumber $k$ according to the power-law $k^{1/(1-p)}$, where $p$ is the inflationary power-law exponent. We investigate to which extent these properties depend on the coupling function and on the potential. We find the class of models in which viable attractors exist. Within this class, we find that the cosmic expansion and the scaling of the fluctuation spectrum are independent of the coupling function. Further, the analytical solution of the Fokker-Planck equation shows that the deviations from Gaussianity are negligible.

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