H-theorem for classical matter around a black hole

Abstract

We propose a classical solution for the kinetic description of matter falling into a black hole, which permits to evaluate both the kinetic entropy and the entropy production rate of classical infalling matter at the event horizon. The formulation is based on a relativistic kinetic description for classical particles in the presence of an event horizon. An H-theorem is established which holds for arbitrary models of black holes and is valid also in the presence of contracting event horizons.

References in corpus (2)

• Vacuum polarization in the Schwarzschild spacetime and dimensional reduction
• Vacuum polarization in two-dimensional static spacetimes and dimensional reduction

Cited by in corpus (1)

• Entropic force, noncommutative gravity and ungravity