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.
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Submitted on : Friday, June 20, 2014 - 1:40:41 PM
Last modification on : Tuesday, July 23, 2019 - 10:08:03 AM

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

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