N Bartolo et al JCAP01(2004)003 doi:10.1088/1475-7516/2004/01/003
N Bartolo1, S Matarrese2 and A Riotto2
Show affiliationsWe present a second-order gauge-invariant formalism to study the evolution of curvature perturbations in a Friedmann–Robertson–Walker universe filled by multiple interacting fluids. We apply such a general formalism to describe the evolution of the second-order curvature perturbations in the standard one-single-field inflation, in the curvaton and in the inhomogeneous reheating scenarios for the generation of the cosmological perturbations. Moreover, we provide the exact expression for the second-order temperature anisotropies on large scales, including second-order gravitational effects and extend the well known formula for the Sachs–Wolfe effect at linear order. Our findings clarify what is the exact non-linearity parameter fNL entering in the determination of higher-order statistics such as the bispectrum of Cosmic Microwave Background temperature anisotropies. Finally, we compute the level of non-Gaussianity in each scenario for the creation of cosmological perturbations.
E-print Number: astro-ph/0309692
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98.70.Vc Background radiations
11.15.Bt General properties of perturbation theory
Issue 01 (January 2004)
Received 7 October 2003, accepted for publication 12 December 2003
Published 14 January 2004
N Bartolo et al JCAP01(2004)003
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