Resonance of Gravitational Axions-like Particles

Fuente: arXiv
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Auteurs principaux: Gamboa, J., Méndez, F.
Format: Preprint
Publié: 2024
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author Gamboa, J.
Méndez, F.
author_facet Gamboa, J.
Méndez, F.
contents 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 $\sqrt{g}{\tilde R}_{μνρρσ}R^{μνρσ}$ 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 $ω\gtrsim μ$ where $μ$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2402_10700
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resonance of Gravitational Axions-like Particles
Gamboa, J.
Méndez, F.
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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 $\sqrt{g}{\tilde R}_{μνρρσ}R^{μνρσ}$ 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 $ω\gtrsim μ$ where $μ$ 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.
title Resonance of Gravitational Axions-like Particles
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2402.10700