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A general proof of the conservation of the curvature perturbation

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arxiv astro-ph/0411220 v3 pith:HXVHQH35 submitted 2004-11-09 astro-ph gr-qchep-ph

classification astro-phgr-qchep-ph
keywords perturbationcurvatureequationstheoryalreadyassumingbehaviourclosely
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Without invoking a perturbative expansion, we define the cosmological curvature perturbation, and consider its behaviour assuming that the universe is smooth over a sufficiently large comoving scale. The equations are simple, resembling closely the first-order equations, and they lead to results which generalise those already proven in linear perturbation theory and (in part) in second-order perturbation theory. In particular, the curvature perturbation is conserved provided that the pressure is a unique function of the energy density.

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Cited by 43 Pith papers

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