Evolution of second-order cosmological perturbations

Preprint

5 May 2004

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/0307055

Abstract

We present a method for constructing gauge-invariant cosmological perturbations which are gauge-invariant up to second order. As an example we give the gauge-invariant definition of the second-order curvature perturbation on uniform density hypersurfaces. Using only the energy conservation equation we show that this curvature perturbation is conserved at second order on large scales for adiabatic perturbations.

Keywords

COSMOLOGICAL PERTURBATIONS
CURVATURE PERTURBATION
ORDER COSMOLOGICAL
GAUGE INVARIANT
PERTURBATIONS
SECOND ORDER
EVOLUTION

All Related Versions

Version 1, 2003-07-02, ArXiv
Version 2, 2003-07-10, ArXiv
Version 3, 2004-05-05, ArXiv
Published version: Classical and Quantum Gravity, 21 (11), L65.

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