Nonlinear stability of homogeneous models in Newtonian cosmology

Details Nonlinear stability of homogeneous models in Newtonian cosmology Nonlinear stability of homogeneous models in Newtonian cosmology

1996-03-21

arxiv.org/abs/gr-qc/9603033v1

Arch.Ration.Mech.Anal. 140 (1997) 335-351

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, latex

Scientific paper

10.1007/s002050050070

We consider the Vlasov-Poisson system in a cosmological setting and prove
nonlinear stability of homogeneous solutions against small, spatially periodic
perturbations in the sup-norm of the spatial mass density. This result is
connected with the question of how large scale structures such as galaxies have
evolved out of the homogeneous state of the early universe.

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