Microscopic statistical description of classical matter around black holes
نویسندگان
چکیده
The problem of statistical description of classical matter, represented by a N-body system of relativistic point particles falling into a black hole, is investigated, adopting a classical framework. A covariant microscopic statistical description is developed for the classical particle system by introducing the definition of observer-related N-particle microscopic distribution function and by suitably extending to general relativity the concept of Gibbs microscopic entropy. The corresponding en-tropy production rate is calculated taking into account the presence of an event horizon and proven to obey, for N >> 1, an exact microscopic H-theorem which holds for arbitrary geometries.
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