Second Order Perturbations During Inflation Beyond Slow-roll

Abstract

We numerically calculate the evolution of second order cosmological perturbations for an inflationary scalar field without resorting to the slow-roll approximation or assuming large scales. In contrast to previous approaches we therefore use the full non-slow-roll source term for the second order Klein-Gordon equation which is valid on all scales. The numerical results are consistent with the ones obtained previously where slow-roll is a good approximation. We investigate the effect of localised features in the scalar field potential which break slow-roll for some portion of the evolution. The numerical package solving the second order Klein-Gordon equation has been released under an open source license and is available for download.

v2: version published in JCAP, references added; v1: 21 pages, 11 figures, numerical package available at http://pyflation.ianhuston.net

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Cited by in corpus (14)

• Inflationary perturbation theory is geometrical optics in phase space
• Numerical evaluation of the bispectrum in multiple field inflation
• MultiModeCode: An efficient numerical solver for multifield inflation
• Calculating Non-adiabatic Pressure Perturbations during Multi-field Inflation
• Transport equations for the inflationary trispectrum
• WarmSPy: a numerical study of cosmological perturbations in warm inflation
• Numerically evaluating the bispectrum in curved field-space - with PyTransport 2.0
• Transporting non-Gaussianity from sub to super-horizon scales
• Observational constraints on tachyon and DBI inflation
• Predictions in multifield models of inflation
• Numerical evaluation of inflationary 3-point functions on curved field space
• Quantifying the behaviour of curvature perturbations during inflation
• A simplified structure for the second order cosmological perturbation equations
• The general solution at large scale for second order perturbations in a scalar field dominated universe