Toward a New Model of the Central Engine of GRB

TL;DR

This paper advances a minimalistic model for gamma-ray burst (GRB) central engines, linking rotating compact objects and gravitational perturbations to jet formation, with novel solutions and superradiance phenomena.

Contribution

It introduces a new approach using polynomial solutions to the Teukolsky equation to model jet formation in GRBs, highlighting superradiance effects.

Findings

Polynomial solutions describe jet formation.

Imaginary superradiance frequencies found for vacuum black hole jets.

Model links gravitational perturbations to jet collimation.

Abstract

We present new developments of the simple model of the central engine of GRB, proposed recently. The model is based on minimal assumptions: some rotating compact relativistic object at the center and stable perturbations of its rotating gravitational field, described by Teukolsky Master Equation. We show that using nonstandard polynomial solutions to the angular Teukolsky equation we can describe the formation of collimated jets of various forms. Appearance of imaginary part of the superradiance-like frequency is established for the first time for pure vacuum black hole jet solutions of Teukolsky equation.