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A covariant kinetic equation for a self-gravitating system

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  • Kandrup, Henry E.

Abstract

Recently, Israel and Kandrup have developed a new, manifestly covariant approach to non-equilibrium statistical mechanics in classical general relativity. One by-product of that approach has been the formulation of an approximate kinetic equation for the evolution of a self-gravitating system, valid in an “impulse” or “weak coupling” approximation in the limit that radiative effects may be neglected. This paper exploits the theory of random functions to present a much simpler derivation of that approximate kinetic equation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:126:y:1984:i:3:p:461-473
    DOI: 10.1016/0378-4371(84)90212-7
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    Cited by:

    1. 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.
    2. de Gottal, Ph. & Gariel, J., 1989. "Test-particle motion in a relativistic plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 1059-1073.

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