A symplectic approach to gravitational instability
Astrophysics
2009-10-28 v1
Abstract
We present a global approach of non-dissipative physics. Based on symplectic mechanics this technique allows us to obtain the solution of a very large class of problems in terms of a Taylor expand. We apply this method to the problem of gravitational instability and we obtain a general expression of the gravitational potential, solution of the Vlasov- Poisson gravitational potential, solution of the Vlasov-Poisson system, as a function of time in the context of Newtonian dust cosmology.
Cite
@article{arxiv.astro-ph/9511112,
title = {A symplectic approach to gravitational instability},
author = {J. Perez and M. Lachieze-Rey},
journal= {arXiv preprint arXiv:astro-ph/9511112},
year = {2009}
}
Comments
uuencoded compressed postscript file containing 14 pages, accepted for publication in ApJ