Hamiltonian approach to collisionless stellar dynamics in general relativity

Details Hamiltonian approach to collisionless stellar dynamics in general relativity Hamiltonian approach to collisionless stellar dynamics in general relativity

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991nyasa.631...88k&link_type=abstract

(Nonlinear problems in relativity and cosmology; Proceedings of the 6th Florida Workshop in Nonlinear Astronomy, Gainesville, Oc

Astronomy and Astrophysics

Astronomy

Hamiltonian Functions, Relativity, Stellar Motions, Vlasov Equations, Einstein Equations, Gravitation Theory, Poisson Equation

Scientific paper

Recent work aimed at viewing the collisionless Boltzmann, or Vlasov, equation as a Hamiltonian system is reviewed. Two applications of this approach are discussed. First, it is proved that all axisymmetric Newtonian equilibria characterized by distribution functions are unstable to the effects of gravitational radiation reaction. Second, a partial explanation is suggested for the fact that 'binding energy' arguments apparently do provide necessary and sufficient criteria for the linear stability of spherical, isotropic equilibria in general relativity.

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