Dynamics of black hole formation: Evidence for nonextensivity

Abstract

We study the dynamics of a bounded collapsing configuration emitting gravitational waves, whose exterior spacetime is described by the Robinson-Trautman metric. In this process mass is lost due to gravitational wave emission until the Schwarzschild black hole is formed. By performing a careful computation of the distribution of the mass fraction extracted by gravitational radiation, we have shown that it satisfies the distribution law of Tsallis nonextensive statistics, and this result is independent of the initial data considered.