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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

Evolution of non-linear cosmological perturbations

classification astro-ph gr-qchep-ph
keywords perturbationsscalescoordinateevolutionfirstgeneralizationslargenon-linear
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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