Quasinormal ringing of black holes in Einstein aether theory

TL;DR

This paper investigates the quasinormal modes of Einstein aether black holes, revealing how Lorentz violation affects black hole oscillations and damping, with potential detectability by future gravitational wave detectors.

Contribution

It provides the first detailed analysis of scalar and electromagnetic quasinormal modes in Einstein aether black holes, highlighting similarities with Lorentz violation models and potential observational signatures.

Findings

Aether black holes exhibit larger damping rates than Schwarzschild black holes.

Oscillation frequencies of aether black holes are smaller than those of Schwarzschild black holes.

Differences in QNM parameters range from 0.7% to 35%, detectable by future gravitational wave observatories.

Abstract

The gravitational consequence of local Lorentz violation (LV) should show itself in derivation of the characteristic quasinormal ringing of black hole mergers from their general relativity case. In this paper, we study quasinormal modes (QNMs) of the scalar and electromagnetic field perturbations to Einstein aether black holes. We find that quasinormal ringing of the first kind aether black hole is similar to that of another Lorentz violation model---the QED-extension limit of standard model extension. These similarities between completely different backgrounds may imply that LV in gravity sector and LV in matter sector have some connections between themself: damping quasinormal ringing of black holes more rapidly and prolonging its oscillation period. By compared to Schwarzschild black hole, both the first and the second kind aether black holes have larger damping rate and smaller real oscillation frequency of QNMs. And the differences are from 0.7 percent to 35 percents, those could be detected by new generation of gravitational antennas.