Evolution of second-order cosmological perturbations
- 24 April 2004
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 21 (11) , L65-L71
- https://doi.org/10.1088/0264-9381/21/11/l01
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
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