Quasinormal modes and shadow of noncommutative black hole

TL;DR

This paper studies how noncommutativity affects the quasinormal modes and shadow of a Schwarzschild black hole, revealing that noncommutativity reduces the shadow radius and influences quasinormal frequencies.

Contribution

It provides a detailed analysis of quasinormal modes and shadow radius in noncommutative black holes using WKB and Leaver methods, highlighting novel effects of noncommutativity.

Findings

Noncommutativity reduces the shadow radius of the black hole.

The shadow radius remains nonzero at zero mass for finite noncommutative parameter.

Noncommutativity influences quasinormal mode frequencies.

Abstract

In this paper we investigate quasinormal modes (QNM) for a scalar field around a noncommutative Schwarzschild black hole. We verify the effect of noncommutativity on quasinormal frequencies by applying two procedures widely used in the literature. The first is the Wentzel-Kramers-Brillouin (WKB) approximation up to sixth order. In the second case we use the continuous fraction method developed by Leaver. Besides, we also show that due to noncommutativity, the shadow radius is reduced when we increase the noncommutative parameter. In addition, we find that the shadow radius is nonzero even at the zero mass limit for finite noncommutative parameter.