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Conserved non-linear quantities in cosmology

Abstract : We give a detailed and improved presentation of our recently proposed formalism for non-linear perturbations in cosmology, based on a covariant and fully non-perturbative approach. We work, in particular, with a covector combining the gradients of the energy density and of the local number of e-folds to obtain a non-linear generalization of the familiar linear uniform density perturbation. We show that this covector obeys a remarkably simple conservation equation which is exact, fully non-linear and valid at all scales. We relate explicitly our approach to the coordinate-based formalisms for linear perturbations and for second-order perturbations. We also consider other quantities, which are conserved on sufficiently large scales for adiabatic perturbations, and discuss the issue of gauge invariance.
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http://hal.in2p3.fr/in2p3-00025104
Contributor : Simone Lantz Connect in order to contact the contributor
Submitted on : Tuesday, November 22, 2005 - 1:31:10 PM
Last modification on : Monday, December 14, 2020 - 9:53:43 AM

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David Langlois, F. Vernizzi. Conserved non-linear quantities in cosmology. Physical Review D, American Physical Society, 2005, 72, pp.103501. ⟨10.1103/PhysRevD.72.103501⟩. ⟨in2p3-00025104⟩

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