The Highly Real Quasinormal Modes of Schwarzschild-Anti De Sitter Black Holes

TL;DR

This paper investigates the asymptotic quasinormal modes of Schwarzschild-Anti de Sitter black holes, showing that their real parts tend to infinity while damping remains finite, using a novel analytic approach.

Contribution

It introduces a new analytic method to calculate the highly real quasinormal modes, supporting their potential existence in Schwarzschild-AdS black holes.

Findings

Confirmation of the existence of highly real quasinormal modes.

The real part of frequencies approaches infinity in the asymptotic limit.

Damping rates remain finite for these modes.

Abstract

A recent investigation has led to the possibility of the existence of an interesting region of the asymptotic quasinormal mode spectrum of Schwarzschild-anti de Sitter black holes. In this asymptotic region, the real part of quasinormal mode frequencies approaches infinity while the damping rate approaches a finite value. These quasinormal mode frequencies were calculated using an analytic technique based on the complex coordinate WKB method. In this paper, we use a different analytic technique to calculate such quasinormal mode frequencies. The results of this paper provide further support of the possibility of the existence of these modes.