Nonlinear stability of homogeneous models in Newtonian cosmology
General Relativity and Quantum Cosmology
2009-10-28 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/9603033,
title = {Nonlinear stability of homogeneous models in Newtonian cosmology},
author = {Gerhard Rein},
journal= {arXiv preprint arXiv:gr-qc/9603033},
year = {2009}
}
Comments
19 pages, latex