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Journal Articles The Astrophysical Journal Year : 1996

A symplectic approach to gravitational instability

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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.

Dates and versions

hal-01010755 , version 1 (20-06-2014)

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Jérôme Perez, M. Lachieze-Rey. A symplectic approach to gravitational instability. The Astrophysical Journal, 1996, 465, pp.54. ⟨10.1086/177400⟩. ⟨hal-01010755⟩
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