Continuous area spectrum in regular black hole

TL;DR

This paper studies the quasinormal modes of a regular black hole with nonlinear electrodynamics, showing that its area spectrum is continuous in the highly damped limit, with implications for loop quantum gravity.

Contribution

It demonstrates that the real part of highly damped quasinormal mode frequencies vanishes, leading to a continuous area spectrum, which is a novel insight for regular black holes.

Findings

Real part of quasinormal mode frequencies disappears at high damping

Area spectrum of the black hole is continuous

Implications discussed for loop quantum gravity

Abstract

We investigate highly damped quasinormal modes of regular black hole coupled to nonlinear electrodynamics. Using the WKB approximation combined with complex-integration technique, we show that the real part of the frequency disappears in the highly damped limit. If we use the Bohr's correspondence principle, the area spectrum of this black hole is continuous. We discuss its implication in the loop quantum gravity.