Resonance of Gravitational Axions-like Particles

TL;DR

This paper investigates the resonance phenomena of gravitational axion-like particles around Kerr black holes, analyzing spectral radiation, resonance conditions, and potential observational signatures within LIGO's detection range.

Contribution

It provides a detailed analysis of resonance conditions for ALPs near Kerr black holes and estimates their lifetimes, connecting theoretical predictions with observable signals.

Findings

Resonance occurs when ALP frequency exceeds its mass.

Energy distribution approximates a skew-normal distribution.

Resonance lifetimes range from 0.1 seconds to 10^41 seconds.

Abstract

The motion of gravitational axion-like particles (ALP) around a Kerr black hole is analyzed, paying attention to resonance and distribution of spectral radiation. We first discuss the computation of $\sqrt{g}{\tilde R}_{\mu \nu \rho \rho \sigma}R^{\mu \nu \rho \sigma}$ and its implications with Pontryagin's theorem and a detailed analysis of Teukolsky's master equation is done. After carefully analyzing the Teukolsky master equation, we show that this system exhibits resonance when $\omega \gtrsim \mu$ where $\mu$ is the mass of the ALP. A skew-normal distribution can approximate the energy distribution, and we can calculate the mean lifetime of the resonance for black holes with masses between 100 to 1000 $M_{\odot}$. This range corresponds to a duration between $10^{-1}$s and $10^{41}$s, the observation range used in LIGO data.