Infrared Behavior of Induced Gravitational Waves from Isocurvature Perturbations

Fuente: arXiv
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Main Authors: Han, Chang, Chen, Zu-Cheng, Yu, Hongwei, Wu, Puxun
Format: Preprint
Published: 2025
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author Han, Chang
Chen, Zu-Cheng
Yu, Hongwei
Wu, Puxun
author_facet Han, Chang
Chen, Zu-Cheng
Yu, Hongwei
Wu, Puxun
contents Induced gravitational waves provide a powerful probe of primordial perturbations in the early universe through their distinctive spectral properties. We analyze the spectral energy density $Ω_{\text{GW}}$ of gravitational waves induced by isocurvature scalar perturbations. In the infrared regime, we find that the spectral slope $n_{\text{GW}} \equiv \text{d} \lnΩ_\mathrm{GW}/\text{d}\ln k$ takes the log-dependent form $3-4/ \ln (\tilde{k}_*^2 / 6k^2)$, where $\tilde{k}_*$ represents the effective peak scale of the primordial scalar power spectrum. This characteristic behavior differs markedly from that of adiabatic-induced gravitational waves, establishing a robust observational discriminant between isocurvature and adiabatic primordial perturbation modes.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09939
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Infrared Behavior of Induced Gravitational Waves from Isocurvature Perturbations
Han, Chang
Chen, Zu-Cheng
Yu, Hongwei
Wu, Puxun
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
Induced gravitational waves provide a powerful probe of primordial perturbations in the early universe through their distinctive spectral properties. We analyze the spectral energy density $Ω_{\text{GW}}$ of gravitational waves induced by isocurvature scalar perturbations. In the infrared regime, we find that the spectral slope $n_{\text{GW}} \equiv \text{d} \lnΩ_\mathrm{GW}/\text{d}\ln k$ takes the log-dependent form $3-4/ \ln (\tilde{k}_*^2 / 6k^2)$, where $\tilde{k}_*$ represents the effective peak scale of the primordial scalar power spectrum. This characteristic behavior differs markedly from that of adiabatic-induced gravitational waves, establishing a robust observational discriminant between isocurvature and adiabatic primordial perturbation modes.
title Infrared Behavior of Induced Gravitational Waves from Isocurvature Perturbations
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2501.09939