Conserved cosmological perturbations

Details Conserved cosmological perturbations Conserved cosmological perturbations

2003-06-24

arxiv.org/abs/astro-ph/0306498v1

Phys.Rev.D68:103515,2003

Astronomy and Astrophysics

Astrophysics

21 pages, latex with revtex, no figures

Scientific paper

10.1103/PhysRevD.68.103515

A conserved cosmological perturbation is associated with each quantity whose local evolution is determined entirely by the local expansion of the Universe. It may be defined as the appropriately normalised perturbation of the quantity, defined using a slicing of spacetime such that the expansion between slices is spatially homogeneous. To first order, on super-horizon scales, the slicing with unperturbed intrinsic curvature has this property. A general construction is given for conserved quantities, yielding the curvature perturbation $\zeta$ as well as more recently-considered conserved perturbations. The construction may be extended to higher orders in perturbation theory and even into the non-perturbative regime.

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