A symplectic approach to gravitational instability

Details A symplectic approach to gravitational instability A symplectic approach to gravitational instability

1995-11-24

arxiv.org/abs/astro-ph/9511112v1

Astrophys.J. 465 (1996) 54

Astronomy and Astrophysics

Astrophysics

uuencoded compressed postscript file containing 14 pages, accepted for publication in ApJ

Scientific paper

10.1086/177400

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.

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