Microcanonical statistics of Kerr black holes and the bootstrap condition

Abstract

The microcanonical statistics of the Kerr black holes is analyzed. We have set u p an inequality in the microcanonical density for both continuous spectrum and d iscrete spectrum, and have verified that Kerr black holes obey the statistical b ootstrap condition. It is then used to show that the most probable configuration in the gases of Kerr black holes is that one black hole acquires all of the mas s and all of the rotation at the high-energy limit, so rotation does not break t he bootstrap property.