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

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

2002-07-11

arxiv.org/abs/gr-qc/0207048v1

Int.J.Mod.Phys. A17 (2002) 4239-4244

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 1 figure. to be published in "Proceedings of the 5th Alexander Friedmann Seminar on Gravitation and Cosmology", Int.

Scientific paper

10.1142/S0217751X02013277

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.

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