Spectroscopy of Rindler Modified Schwarzschild Black Hole

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 ε of the area spectrum is found to be double of its Schwarzschild value. The latter result is also discussed.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1307.0340

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