Second Order Perturbations of Flat Dust FLRW Universes with a Cosmological Constant

Abstract

We summarize recent results concerning the evolution of second order perturbations in flat dust irrotational FLRW models with $\Lambda \ne 0$. We show that asymptotically these perturbations tend to constants in time, in agreement with the cosmic no-hair conjecture. We solve numerically the second order scalar perturbation equation, and very briefly discuss its all time behaviour and some possible implications for the structure formation.

6 pages, 1 figure. to be published in "Proceedings of the 5th Alexander Friedmann Seminar on Gravitation and Cosmology", Int. Journ. Mod. Phys. A (2002). Macros: ws-ijmpa.cls, ws-p9-75x6-50.cls

References in corpus (1)

• Cosmic no-hair: non-linear asymptotic stability of de Sitter universe

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