A covariant gravitational Landau equation for discreteness fluctuations

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Fokker-Planck Equation, Gravitation Theory, Space-Time Functions, Covariance, Distribution Functions, Many Body Problem, Relativistic Theory, Stellar Systems

Scientific paper

Starting from a relativistic Vlasov description for a system of stars that is not 'too relativistic', this paper examines the effects of discreteness fluctuations and shows that, in the limit that these may be associated with relatively proximate stars, the average distribution function will satisfy the relativistic Landau equation first derived by Israel and Kandrup (1984). This alternative derivation of the Landau equation views discreteness effects as being only one particular type of fluctuation which one might envision.

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