Using Gravitational Wave Signals to Disentangle Early Matter Dominated Epochs

Fuente: arXiv
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Autores principales: Pearce, Matthew, Pearce, Lauren, White, Graham, Balázs, Csaba
Formato: Preprint
Publicado: 2025
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author Pearce, Matthew
Pearce, Lauren
White, Graham
Balázs, Csaba
author_facet Pearce, Matthew
Pearce, Lauren
White, Graham
Balázs, Csaba
contents Curvature perturbations induce gravitational waves (GWs) at second order, contributing to the stochastic gravitational wave background. The resulting gravitational wave spectrum is sensitive to the evolutionary history of the universe and can be substantially enhanced by early matter-dominated (eMD) epochs, particularly if they end rapidly. Such epochs can be caused by primordial black holes (PBHs) and non-topological solitons (Q-balls), for example. Prior analysis approximated the end of the eMD epoch as instantaneous or used a Gaussian smoothing. In this work, we present a complete analysis fully incorporating their time-evolving decay rates. We demonstrate that the resulting signal spectra from PBH, thin wall Q-ball, thick wall Q-ball, and delayed Q-ball eMD epochs are distinguishable for monochromatic distributions. We then consider log-normal mass distributions and discuss the distinguishability of the various GW spectra. Importantly we find that the change in the spectrum from a finite mass width is qualitatively different from the change arising from a slower transition to radiation domination.
format Preprint
id arxiv_https___arxiv_org_abs_2503_03101
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Using Gravitational Wave Signals to Disentangle Early Matter Dominated Epochs
Pearce, Matthew
Pearce, Lauren
White, Graham
Balázs, Csaba
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Curvature perturbations induce gravitational waves (GWs) at second order, contributing to the stochastic gravitational wave background. The resulting gravitational wave spectrum is sensitive to the evolutionary history of the universe and can be substantially enhanced by early matter-dominated (eMD) epochs, particularly if they end rapidly. Such epochs can be caused by primordial black holes (PBHs) and non-topological solitons (Q-balls), for example. Prior analysis approximated the end of the eMD epoch as instantaneous or used a Gaussian smoothing. In this work, we present a complete analysis fully incorporating their time-evolving decay rates. We demonstrate that the resulting signal spectra from PBH, thin wall Q-ball, thick wall Q-ball, and delayed Q-ball eMD epochs are distinguishable for monochromatic distributions. We then consider log-normal mass distributions and discuss the distinguishability of the various GW spectra. Importantly we find that the change in the spectrum from a finite mass width is qualitatively different from the change arising from a slower transition to radiation domination.
title Using Gravitational Wave Signals to Disentangle Early Matter Dominated Epochs
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2503.03101