A symplectic approach to gravitational instability

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.

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

Cited by in corpus (2)

• Stationary state in N-body System with power law interaction
• Vlavov and Poisson equations in the context of self-gravitating systems