Eikonal quasinormal modes, greybody factors and shadow of charged accelerating black holes

TL;DR

This paper analyzes the quasinormal modes, greybody factors, and shadows of charged accelerating black holes, revealing universal behaviors and relations to null geodesics, with implications for understanding black hole perturbations.

Contribution

It extends the analysis of quasinormal modes and greybody factors to charged accelerating black holes, establishing their universality and relation to null geodesics and shadows.

Findings

Quasinormal modes relate to null geodesics via angular velocity and Lyapunov exponent.

Greybody factors computed for neutral and charged accelerating black holes.

Results are universal across perturbation spins and reduce to Reissner-Nordstrom case when acceleration is zero.

Abstract

We show that the quasinormal modes, in the eikonal limit, for accelerating (non-rotating) black holes, are related to the angular velocity of the circular null geodesics and to the corresponding Lyapunov exponent, in the same way as the ones for spherically symmetric black holes are. We compute those quasinormal modes and greybody factors for neutral and charged accelerating black holes, considering massless test scalar fields, and we show that the results are universal for perturbations of any spin. We also determine the radius of the shadow cast by these black holes. Our results for charged black holes are valid for the Reissner-Nordstrom solution simply by setting the acceleration to zero.