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Evolution of second-order cosmological perturbations

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Karim A Malik1 and David Wands2

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LETTER TO THE EDITOR

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.


PACS

98.80.-k Cosmology

MSC

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 11 (7 June 2004)

Received 5 December 2003

Published 24 April 2004



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