Gravitational Wave Emission from a Bounded Source: the Nonlinear Regime

TL;DR

This paper investigates the nonlinear dynamics of gravitational wave emission from a collapsing bounded source, revealing that the mass distribution of emitted waves follows a nonextensive statistical law, regardless of initial conditions.

Contribution

It introduces a nonlinear analysis of gravitational collapse using the Galerkin method and uncovers a universal statistical distribution for emitted gravitational wave mass.

Findings

Mass fraction distribution follows nonextensive statistics

Results are independent of initial configurations

Nonlinear regime analyzed with Galerkin method

Abstract

We study the dynamics of a bounded gravitational collapsing configuration emitting gravitational waves, where the exterior spacetime is described by Robinson-Trautman geometries. The full nonlinear regime is examined by using the Galerkin method that allows us to reduce the equations governing the dynamics to a finite-dimensional dynamical system, after a proper truncation procedure. Amongst the obtained results of the nonlinear evolution, one of the most impressive is the fact that the distribution of the mass fraction extracted by gravitational wave emission satisfies the distribution law of nonextensive statistics and this result is independent of the initial configurations considered.