Scalar-induced gravitational waves with non-Gaussianity up to all orders

Fuente: arXiv
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Main Authors: Zeng, Xiang-Xi, Ning, Zhuan, Cai, Rong-Gen, Wang, Shao-Jiang
Format: Preprint
Published: 2025
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author Zeng, Xiang-Xi
Ning, Zhuan
Cai, Rong-Gen
Wang, Shao-Jiang
author_facet Zeng, Xiang-Xi
Ning, Zhuan
Cai, Rong-Gen
Wang, Shao-Jiang
contents Scalar-induced gravitational waves (SIGWs) are ubiquitous in many early-Universe processes accompanied by non-Gaussianity; while Gaussian perturbation can generate significant SIGWs, computations of SIGWs can be significantly affected and enhanced if the scalar perturbations have some degree of non-Gaussianity; hence, precise calculations of these kinds of SIGWs involve a full understanding of non-Gaussianity. In this Letter, we propose to use the lattice simulations to directly calculate the energy density spectra of SIGWs with non-Gaussianity up to all orders. Our proposal has been first verified to match the existing semi-analytical results with non-Gaussianity, and then applied to more general cases, including high-order primordial non-Gaussianities, the logarithmic dependence in curvature perturbations, the curvaton model, and the ultra slow-roll model. We find that even a modest non-Gaussianity can significantly alter ultraviolet behaviors in SIGW spectra, necessitating special cautions in future detections as well as mutual constraints on/from primordial black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2508_10812
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Scalar-induced gravitational waves with non-Gaussianity up to all orders
Zeng, Xiang-Xi
Ning, Zhuan
Cai, Rong-Gen
Wang, Shao-Jiang
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Scalar-induced gravitational waves (SIGWs) are ubiquitous in many early-Universe processes accompanied by non-Gaussianity; while Gaussian perturbation can generate significant SIGWs, computations of SIGWs can be significantly affected and enhanced if the scalar perturbations have some degree of non-Gaussianity; hence, precise calculations of these kinds of SIGWs involve a full understanding of non-Gaussianity. In this Letter, we propose to use the lattice simulations to directly calculate the energy density spectra of SIGWs with non-Gaussianity up to all orders. Our proposal has been first verified to match the existing semi-analytical results with non-Gaussianity, and then applied to more general cases, including high-order primordial non-Gaussianities, the logarithmic dependence in curvature perturbations, the curvaton model, and the ultra slow-roll model. We find that even a modest non-Gaussianity can significantly alter ultraviolet behaviors in SIGW spectra, necessitating special cautions in future detections as well as mutual constraints on/from primordial black holes.
title Scalar-induced gravitational waves with non-Gaussianity up to all orders
topic Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2508.10812