Spectroscopy of Rindler Modified Schwarzschild Black Hole

TL;DR

This paper investigates the quasinormal modes of Rindler modified Schwarzschild black holes, revealing that their quantum entropy and area spectra are influenced by Rindler acceleration but have a universal spacing independent of it.

Contribution

It introduces a method to compute QNMs of Rindler modified Schwarzschild black holes and finds that the area spectrum spacing is doubled compared to Schwarzschild black holes.

Findings

QNMs are affected by Rindler acceleration but their spacing is not.

The dimensionless constant of the area spectrum is twice the Schwarzschild value.

Quantum entropy and area spectra are derived using highly damped QNMs.

Abstract

We study quasinormal modes (QNMs) of uncharged Grumiller black hole (GBH). This massive BH has a Rindler acceleration $a$, and hence it is also called Rindler modified Schwarzschild BH. After reducing the radial equation of the massless Klein-Gordon equation to the Zerilli equation, we compute the complex frequencies of the QNMs of the GBH. To this end, an approximation method which considers small perturbation around its horizon is used. Considering the highly damped QNMs in the process proposed by Maggiore, the quantum entropy and area spectra of these BHs are found. Although the QNM frequencies are tuned by the Rindler term, we show in detail that the spacing does not depend on it. Here, dimensionless constant {\epsilon} of the area spectrum is found to be double of its Schwarzschild value. The latter result is also discussed.