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arxiv: 0706.0678 · v2 · submitted 2007-06-05 · 🌀 gr-qc · astro-ph· hep-th

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Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --

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classification 🌀 gr-qc astro-phhep-th
keywords scalarepsilonexpansionfieldnonlinearapproachgradientperturbations
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We formulate nonlinear perturbations of a scalar field dominated universe on super-horizon scales. We consider the case of a single scalar field. We take the gradient expansion approach. We adopt the uniform Hubble slicing and derive the general solution valid to $O(\epsilon^2)$, where $\epsilon$ is the expansion parameter associated with a spatial derivative, which includes both the scalar and tensor modes. In particular, the $O(\epsilon^2)$ correction terms to the nonlinear curvature perturbation, which become important in models with a non-slowroll stage during inflation, are explicitly obtained.

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  1. Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems

    gr-qc 2025-12 unverdicted novelty 7.0

    Nonlinear long-wavelength solutions are constructed for cosmological perturbations in non-adiabatic multi-fluid systems, admitting adiabatic and entropy modes at leading order via ADM and gradient expansion.