Numerical simulation of Quasi-Normal Modes in time-dependent background

TL;DR

This paper investigates how massless scalar waves behave in a time-dependent Schwarzschild black hole, revealing modifications in quasinormal ringing due to the dynamic background using Kruskal coordinates.

Contribution

It introduces a framework using Kruskal coordinates to analyze scalar wave propagation in time-dependent black hole backgrounds and derives a corresponding scattering potential.

Findings

Decay time-scale of quasinormal modes is altered in dynamic backgrounds.

Oscillation frequencies of quasinormal ringing are affected by black hole parameter changes.

Kruskal coordinates effectively describe time-dependent spacetime perturbations.

Abstract

We study the massless scalar wave propagation in the time-dependent Schwarzschild black hole background. We find that the Kruskal coordinate is an appropriate framework to investigate the time-dependent spacetime. A time-dependent scattering potential is derived by considering dynamical black hole with parameters changing with time. It is shown that in the quasinormal ringing both the decay time-scale and oscillation are modified in the time-dependent background.