Gravitational waves from primordial black hole dominance: The effect of inflaton decay rate

Fuente: arXiv
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Main Authors: del-Corral, Daniel, Kumar, K. Sravan, Marto, João
Format: Preprint
Published: 2025
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author del-Corral, Daniel
Kumar, K. Sravan
Marto, João
author_facet del-Corral, Daniel
Kumar, K. Sravan
Marto, João
contents In this work, we explore primordial black holes (PBH) formation scenario during the post-inflationary preheating stage dominated by the inflaton field. We consider, in particular, a model-independent parametrization of the Gaussian peak inflationary power spectrum that leads to amplified inflationary density fluctuations before the end of inflation. These modes can reenter the horizon during preheating and could experience instabilities that trigger the production of PBH. This is estimated with the Khlopov-Polnarev (KP) formalism that takes into account non-spherical effects. We derive an accurate analytical expression for the mass fraction under the KP formalism that fits well with the numerical evaluation. Particularly, we focus on ultra-light PBH of masses $M_{\text{PBH}}<10^9g$ and study their evolution and (possible) dominance after the decay of the inflation field into radiation and before the PBH evaporation via Hawking radiation. These considerations alter the previous estimates of induced gravitational waves (GWs) from PBH dominance and set new targets for detecting stochastic GW backgrounds with future detectors, provided that these achieve significantly enhanced experimental sensitivity, as current planned instruments do not yet possess sufficient sensitivity for detection.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05875
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational waves from primordial black hole dominance: The effect of inflaton decay rate
del-Corral, Daniel
Kumar, K. Sravan
Marto, João
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this work, we explore primordial black holes (PBH) formation scenario during the post-inflationary preheating stage dominated by the inflaton field. We consider, in particular, a model-independent parametrization of the Gaussian peak inflationary power spectrum that leads to amplified inflationary density fluctuations before the end of inflation. These modes can reenter the horizon during preheating and could experience instabilities that trigger the production of PBH. This is estimated with the Khlopov-Polnarev (KP) formalism that takes into account non-spherical effects. We derive an accurate analytical expression for the mass fraction under the KP formalism that fits well with the numerical evaluation. Particularly, we focus on ultra-light PBH of masses $M_{\text{PBH}}<10^9g$ and study their evolution and (possible) dominance after the decay of the inflation field into radiation and before the PBH evaporation via Hawking radiation. These considerations alter the previous estimates of induced gravitational waves (GWs) from PBH dominance and set new targets for detecting stochastic GW backgrounds with future detectors, provided that these achieve significantly enhanced experimental sensitivity, as current planned instruments do not yet possess sufficient sensitivity for detection.
title Gravitational waves from primordial black hole dominance: The effect of inflaton decay rate
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2504.05875