Quasi-normal modes, area spectra and multi-horizon spacetimes

TL;DR

This paper interprets highly damped quasi-normal mode frequencies of multi-horizon spacetimes, linking them to black hole thermodynamics and area spectra, and extends Maggiore's proposal to complex multi-horizon cases.

Contribution

It provides a novel interpretation of QNM frequencies in multi-horizon spacetimes based on equal area spectra, aligning with Bekenstein's proposal and extending previous single-horizon analyses.

Findings

QNM frequencies are consistent with equally spaced area spectra.

The interpretation aligns with Bekenstein's area spectrum A=8πn.

Multi-horizon QNM behavior has new features compared to single-horizon cases.

Abstract

We suggest an interpretation for the highly damped QNM frequencies of the spherically symmetric multi-horizon spacetimes (Reissner-Nordstrom, Schwarzschild-deSitter, Reissner-Nordstrom-deSitter) following Maggiore's proposal about the link between the asymptotic QNM frequencies and the black hole thermodynamics. We show that the behavior of the asymptotic frequencies is easy to understand if one assumes that all of the horizons have the same equispaced area spectra. The QNM analysis is then consistent with the choice of the area spectra to be the one originally proposed for the black hole's horizon by Bekenstein: A=8\pi n (in Planck units). The interpretation of the highly damped QNM frequencies in the multi-horizon case is based on the similar grounds as in the single horizon (Schwarzschild) case, but it has some new features that are discussed in the paper.