Vlasov equation and collisionless hydrodynamics adapted to curved spacetime

I. Y. Dodin, N. J. Fisch

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12 Scopus citations


The modification of the Vlasov equation, in its standard form describing a charged particle distribution in the six-dimensional phase space, is derived explicitly within a formal Hamiltonian approach for arbitrarily curved spacetime. The equation accounts simultaneously for the Lorentz force and the effects of general relativity, with the latter appearing as the gravity force and an additional force due to the extrinsic curvature of spatial hypersurfaces. For an arbitrary spatial metric, the equations of collisionless hydrodynamics are also obtained in the usual three-vector form.

Original languageEnglish (US)
Article number112118
JournalPhysics of Plasmas
Issue number11
StatePublished - Nov 2010

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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