Object picture of quasinormal ringing on the background of small Schwarzschild Anti-de Sitter black holes

TL;DR

This paper studies the behavior of scalar fields around small Schwarzschild Anti-de Sitter black holes, revealing how quasinormal frequencies depend on black hole size, spacetime dimensions, and multipole indices, clarifying the nature of quasinormal modes.

Contribution

It provides a detailed analysis of quasinormal modes for small Anti-de Sitter black holes, including their dependence on size, dimensions, and multipole moments, with an object-picture clarification.

Findings

Imaginary part of quasinormal frequency decreases with horizon size

Real part of quasinormal frequency remains nearly constant

Dependence of modes on spacetime dimensions and multipole index

Abstract

We investigated the evolution of a scalar field propagating in small Schwarzschild Anti-de Sitter black holes. The imaginary part of the quasinormal frequency decreases with the horizon size and the real part of the quasinormal frequency keeps nearly as a constant. The object-picture clarified the question on the quasinormal modes for small Anti-de Sitter black holes. Dependence of quasinormal modes on spacetime dimensions and the multipole index for small Anti-de Sitter black holes have also been illustrated.