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

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  • Kandrup, Henry E.

Abstract

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.

Suggested Citation

  • Kandrup, Henry E., 1989. "Hamiltonian formulation of the linearized perturbation equations for the Vlasov-Einstein system of relativistic stellar dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(2), pages 213-224.
    • Handle: RePEc:eee:phsmap:v:160:y:1989:i:2:p:213-224
    DOI: 10.1016/0378-4371(89)90418-4
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    1. Kandrup, Henry E., 1984. "A covariant kinetic equation for a self-gravitating system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(3), pages 461-473.
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