On quasinormal modes for the Vaidya metric in asymptotically anti-de Sitter spacetime

TL;DR

This paper introduces a numerical method to compute the quasinormal modes of a time-dependent Vaidya black hole in anti-de Sitter space, providing precise, time-dependent frequencies.

Contribution

A novel generalized matrix method for accurately calculating time-dependent quasinormal modes in dynamic black hole spacetimes.

Findings

Successfully computes quasinormal frequencies as functions of time.

Demonstrates high precision of the proposed numerical scheme.

Discusses implications for black hole physics in AdS spacetime.

Abstract

In this work, we present a numerical scheme to study the quasinormal modes of the time-dependent Vaidya black hole metric in asymptotically anti-de Sitter spacetime. The proposed algorithm is primarily based on a generalized matrix method for quasinormal modes. The main feature of the present approach is that the quasinormal frequency, as a function of time, is obtained by a generalized secular equation and therefore a satisfactory degree of precision is achieved. The implications of the results are discussed.