Relativistic kinetic theory description of thick Einstein shells

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Scientific paper

Thick Einstein shells are composed of layers of particles that follow circular geodesics. They produce spacetimes that are static and spherically symmetric. In previous work the stress-energy tensor and particle number current were derived using heuristic arguments. Here, relativistic kinetic theory is used to derive these quantities, as well as the conserved entropy current, which was not given previously. We present two exact solutions for which everything from the metric to the entropy and particle number of the shells can be explicitly integrated.

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