Gravitational Wave Emission and Mass Extraction from a Perturbed Schwarzschild Black Hole (continue)

TL;DR

This paper presents an integrated relativistic model for gravitational wave emission and mass extraction from Schwarzschild black holes using perturbations of the Robinson-Trautman type, including both wave and shell emission modes.

Contribution

It introduces a complete model combining gravitational wave and shell emission modes for Schwarzschild black holes, expanding understanding of mass loss mechanisms.

Findings

Model fully integrates gravitational wave emission from Schwarzschild black holes.

Identifies a shell emission mode involving matter without gravitational waves.

Uses curvature tensor analysis and Peeling Theorem for invariant characterization.

Abstract

A relativistic model for the emission of gravitational waves from an initially unperturbed Schwarzschild black hole, or spherical collapsing configuration, is completely integrated. The model consists basically of gravitational perturbations of the Robinson-Trautman type on the Schwarzschild spacetime. In our scheme of perturbation, gravitational waves may extract mass from the collapsing configuration. Robinson-Trautmann perturbations also include another mode of emission of mass, which we denote shell emission mode: in the equatorial plane of the configuration, a timelike $(1+2)$ shell of matter may be present, whose stress-energy tensor is modelled by neutrinos and strings emitted radially on the shell; no gravitational waves are present in this mode. The invariant characterization of gravitational wave perturbations and of the gravitational wave zone is made through the analysis of the structure of the curvature tensor and the use of the Peeling Theorem.