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We offer a physical interpretation of the origin of the scalar-induced gravitational wave background, showing that it is mainly produced around the peaks of the scalar perturbations. We also provide a compact expression to estimate the…

General Relativity and Quantum Cosmology · Physics 2025-09-30 A. J. Iovino , G. Perna , D. Perrone , D. Racco , A. Riotto

Studying the primordial non-Gaussianity of inflationary perturbations is crucial for testing the inflation paradigm of the early universe. In this work, we conduct a comprehensive analysis of the angular bispectrum and trispectrum of…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-30 Jun-Peng Li , Sai Wang , Zhi-Chao Zhao , Kazunori Kohri

Cosmic strings represent an attractive source of gravitational waves (GWs) from the early Universe. However, numerical computation of the GW signal from cosmic strings requires the evaluation of complicated integral and sum expressions,…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Kai Schmitz , Tobias Schroeder

In this paper we provide a comprehensive derivation of the energy density in the stochastic gravitational-wave background $\Omega_\mathrm{gw}(f)$, and show how this quantity is measured in ground-based detectors such as Laser Interferometer…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Chiara M. F. Mingarelli , Stephen R. Taylor , B. S. Sathyaprakash , Will M. Farr

Several pulsar timing array (PTA) experiments such as NANOGrav and PPTA recently reported evidence of a gravitational wave (GW) background at nano-Hz frequency band. This signal can originate from scalar-induced gravitational waves (SIGW)…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-04 Junsong Cang , Yu Gao , Yiming Liu , Sichun Sun

It is well known that enhancement in the primordial scalar perturbations over small scales generates detectable amplitudes of secondary gravitational waves (GWs), by sourcing the tensor perturbations at the second order. These stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-06 H. V. Ragavendra

We present \texttt{py5vec}, a Python package for implementing and extending the 5-vector method, used to search for continuous gravitational wave (CW) signals. We also provide a comprehensive theoretical review of the 5-vector method and…

After the inflationary phase, the universe enters the preheating phase, during which the inflaton field rolls down its potential and oscillates. When the potential significantly deviates from a parabolic shape at its minimum, these…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Daniel del-Corral , Paolo Gondolo , K. Sravan Kumar , João Marto

Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Guillem Domènech , Misao Sasaki

The formation of primordial black holes or other dark matter relics from amplified density fluctuations in the early universe may also generate scalar-induced gravitational waves (GW), carrying vital information about the primordial power…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-25 Aya Ghaleb , Ameek Malhotra , Gianmassimo Tasinato , Ivonne Zavala

Silk damping is well known in the study of cosmic microwave background (CMB) and accounts for suppression of the angular power spectrum of CMB on large angular multipoles. In this Letter, we study the effect of Silk damping on the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-25 Yan-Heng Yu , Sai Wang

One of the key challenges in the area of signal processing on graphs is to design transforms and dictionaries methods to identify and exploit structure in signals on weighted graphs. In this paper, we first generalize graph Fourier…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Jiasong Wu , Fuzhi Wu , Qihan Yang , Youyong Kong , Xilin Liu , Yan Zhang , Lotfi Senhadji , Huazhong Shu

Gravitational wave Bayesian parameter inference involves repeated comparisons of GW data to generic candidate predictions. Even with algorithmically efficient methods like RIFT or reduced-order quadrature, the time needed to perform these…

Instrumentation and Methods for Astrophysics · Physics 2019-04-24 D. Wysocki , R. O'Shaughnessy , Y-L. L. Fang , Jacob Lange

We revisit the vital issue of gauge dependence in the scalar-induced secondary gravitational waves (SIGWs), focusing on the radiation domination (RD) and matter domination (MD) eras. The energy density spectrum is the main physical…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Arshad Ali , Ya-Peng Hu , Mudassar Sabir , Taotao Sui

Motivated by the recent evidence of a stochastic gravitational wave background found by pulsar timing array experiments, we focus on one of the prime cosmological explanations, i.e. a supercooled first order phase transition. If confirmed,…

High Energy Physics - Phenomenology · Physics 2026-02-04 S. Pascoli , S. Rosauro-Alcaraz , M. Zandi

The energy spectrum of gravitational waves (GWs), which depicts the energy of GWs per unit volume of space per logarithmic frequency interval normalized to the critical density of the Universe, is a widely used way for quantifying the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

iGVPT2 is a program for computing anharmonic corrections to vibration frequencies, based on force field expansion of the potential energy surface in normal mode coordinates. It includes second order vibrational perturbation theory (VPT2)…

Chemical Physics · Physics 2017-04-10 Loïc Barnes , Baptiste Schindler , Isabelle Compagnon , Abdul-Rahman Allouche

Pulsar timing arrays (PTAs) have recently found evidence for a nanohertz-frequency stochastic gravitational-wave background (SGWB). Constraining its spectral characteristics will reveal its origins. To achieve this, we must understand how…

High Energy Astrophysical Phenomena · Physics 2023-11-15 William G. Lamb , Stephen R. Taylor , Rutger van Haasteren

Gravitational waves (GWs) are fluctuations in the fabric of spacetime predicted by Einstein's theory of general relativity. Using a collection of millisecond pulsars as high-precision clocks, the nanohertz band of this radiation is likely…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 P. Demorest , J. Lazio , A. Lommen

Investigation of primordial non-Gaussianity holds immense importance in testing the inflation paradigm and shedding light on the physics of the early Universe. In this study, we conduct the complete analysis of scalar-induced gravitational…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-21 Jun-Peng Li , Sai Wang , Zhi-Chao Zhao , Kazunori Kohri
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