Hamiltonian formulation of the linearized perturbation equations for the Vlasov-Einstein system of relativistic stellar dynamics

Details Hamiltonian formulation of the linearized perturbation equations for the Vlasov-Einstein system of relativistic stellar dynamics Hamiltonian formulation of the linearized perturbation equations for the Vlasov-Einstein system of relativistic stellar dynamics

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phya..160..213k&link_type=abstract

Physica A, Volume 160, Issue 2, p. 213-224.

Physics

1

Scientific paper

Relativistic star clusters are often modeled as static, spherically symmetic solutions to the Vlasov-Einstein system. It is shown here that, for spherical disturbances, the equations for linearized perturbations about such a static equilibrium can be cast into a Hamiltonian form using relativistic analogues of Morrison's bracket for the Vlasov-Poisson system and the energy functional of Lynden-Bell and Sanitt for a linearized perturbation.

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