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Evolution of non-linear cosmological perturbations

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arxiv astro-ph/0503416 v2 pith:F3B66F27 submitted 2005-03-18 astro-ph gr-qchep-ph

classification astro-phgr-qchep-ph
keywords perturbationsscalescoordinateevolutionfirstgeneralizationslargenon-linear
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We define fully non-perturbative generalizations of the uniform density and comoving curvature perturbations, which are known, in the linear theory, to be conserved on sufficiently large scales for adiabatic perturbations. Our non-linear generalizations are defined geometrically, independently of any coordinate system. We give the equations governing their evolution on all scales. Also, in order to make contact with previous works on first and second order perturbations, we introduce a coordinate system and show that previous results can be recovered, on large scales, in a remarkably simple way, after restricting our definitions to first and second orders in a perturbative expansion.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Not R Kurvature: Beating Large-Scale White Noise

    astro-ph.CO 2026-08 conditional novelty 8.0 of 10

    Kurvature's large-scale white noise is confined to extrinsic shear and expansion; the curvature mode R receives no infrared-divergent contribution from hard-hard modes, invalidating the BIS-II CMB prediction.

  2. The Fate of Large Scale White Noise in Second-Order Cosmological Perturbation Theory

    astro-ph.CO 2026-08 conditional novelty 7.0 of 10

    White noise in the second-order kurvature density is real, but it is not inherited by the comoving curvature perturbation as an infrared pole, invalidating the k_BH bound on the small-scale primordial power spectrum.

  3. Friction in Stochastic Inflation

    astro-ph.CO 2025-11 accept novelty 6.0 of 10

    Adding a constant drift to time-reversed stochastic inflation in a flat potential yields an exact curvature distribution with exponential tails; forward and reverse delta-N formalisms differ by a factor of two in the ...

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