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LETTER TO THE EDITOR

Evolution of second-order cosmological perturbations

Karim A Malik et al 2004 Class. Quantum Grav. 21 L65-L71   doi: 10.1088/0264-9381/21/11/L01  Help

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Karim A Malik1 and David Wands2
1 GRECO, Institut d'Astrophysique de Paris, CNRS, 98bis Boulevard Arago, 75014 Paris, France
2 Institute of Cosmology and Gravitation, University of Portsmouth, Portsmouth PO1 2EG, UK

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.

PACS number: 98.80.−k

Print publication: Issue 11 (7 June 2004)
Received 5 December 2003
Published 24 April 2004

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