A general proof of the conservation of the curvature perturbation

Details A general proof of the conservation of the curvature perturbation A general proof of the conservation of the curvature perturbation

2004-11-09

arxiv.org/abs/astro-ph/0411220v3

JCAP 0505:004,2005

Astronomy and Astrophysics

Astrophysics

9 pages, revtex4, no figures; v2: 14 pages, main body and appendix extended, typos corrected, references added; v3: minor chan

Scientific paper

10.1088/1475-7516/2005/05/004

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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