Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-03-18
Phys.Rev.Lett. 95 (2005) 091303
Astronomy and Astrophysics
Astrophysics
4 pages, version published in PRL 95, 091303 (2005)
Scientific paper
10.1103/PhysRevLett.95.091303
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.
Langlois David
Vernizzi Filippo
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