Quasi-Normal Modes of a Schwarzschild White Hole

TL;DR

This paper develops a numerical method to compute quasi-normal modes of a Schwarzschild white hole, revealing differences from black hole modes and providing new insights into white hole perturbations.

Contribution

It introduces a novel numerical approach to calculate quasi-normal modes of Schwarzschild white holes using a null cone formalism.

Findings

Quasi-normal modes of Schwarzschild white holes differ from black holes.

Numerical results for $\, ext{l}=2$ modes are presented.

The modes are interpreted as characteristic oscillations of white holes.

Abstract

We investigate perturbations of the Schwarzschild geometry using a linearization of the Einstein vacuum equations within a Bondi-Sachs, or null cone, formalism. We develop a numerical method to calculate the quasi-normal modes, and present results for the case $\ell=2$. The values obtained are different to those of a Schwarzschild black hole, and we interpret them as quasi-normal modes of a Schwarzschild white hole.