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Observational constraints on small-scale primordial gravitational waves are considerably weaker than those on large scales. We focus on scenarios with significant primordial gravitational waves and curvature perturbations on small scales,…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-01 Di Wu , Jing-Zhi Zhou , Yu-Ting Kuang , Zhi-Chao Li , Zhe Chang , Qing-Guo Huang

Pulsar timing arrays (PTA) are a promising probe to the cosmologically novel nanohertz gravitational wave (GW) regime through the stochastic GW background. In this work, we consider subluminal GW modes as a possible source of correlations…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Reginald Christian Bernardo , Kin-Wang Ng

Recently, strong evidence for a gravitational wave background has been reported by collaborations of pulsar timing arrays (PTA). In the framework of scalar-induced gravitational waves (SIGWs), we concurrently investigate the second and…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Sai Wang , Zhi-Chao Zhao , Qing-Hua Zhu

Many early universe scenarios predict an enhancement of scalar perturbations at scales currently unconstrained by cosmological probes. These perturbations source gravitational waves (GWs) at second order in perturbation theory, leading to a…

We consider the sensitivity of the pulsar timing array (PTA) technique to specific kind of narrow-band stochastic signals in nano-Hz frequency range. Specifically, we examine the narrow-band signal produced by oscillating gravitational…

Instrumentation and Methods for Astrophysics · Physics 2014-11-04 Konstantin A. Postnov , Nataliya K. Porayko

The recent detection of a stochastic gravitational wave background (SGWB) at nanohertz frequencies by pulsar timing arrays (PTAs) has sparked a flurry of interest. Beyond the standard interpretation that the progenitor is a network of…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-06 Bryce Cyr , Thomas Kite , Jens Chluba , J. Colin Hill , Donghui Jeong , Sandeep Kumar Acharya , Boris Bolliet , Subodh P. Patil

Pulsar timing arrays (PTAs) will enable the detection of nanohertz gravitational waves (GWs) from a population of supermassive binary black holes (SMBBHs) in the next $\sim 3-7$ years. In addition, PTAs provide a rare opportunity to probe…

General Relativity and Quantum Cosmology · Physics 2019-07-12 Xavier Siemens , Jeffrey S. Hazboun , Paul T. Baker , Sarah Burke-Spolaor , Dustin Madison , Chiara Mingarelli , Joseph Simon , Tristan Smith

Assuming that the common-spectrum process in the NANOGrav 12.5-year dataset has an origin of scalar-induced gravitational waves, we study the enhancement of primordial curvature perturbations and the mass function of primordial black holes,…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-04 Zhi-Chao Zhao , Sai Wang

Very recently, several pulsar timing array collaborations, including CPTA, EPTA, and NANOGrav, reported their results from searches for an isotropic stochastic gravitational wave background (SGWB), with each finding positive evidence for…

High Energy Astrophysical Phenomena · Physics 2023-07-06 Ligong Bian , Shuailiang Ge , Jing Shu , Bo Wang , Xing-Yu Yang , Junchao Zong

In the nanohertz band, the spatial correlations in pulsar timing arrays (PTAs) produced by interfering gravitational waves (GWs) from multiple sources likely deviate from the traditional ones without interference under the assumption of an…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Yu-Mei Wu , Yan-Chen Bi , Qing-Guo Huang

The recent detection of a common-spectrum stochastic signal by multiple pulsar timing array (PTA) collaborations has provided tentative evidence for a nanohertz (nHz) stochastic gravitational-wave background (SGWB). This signal can be…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-22 Mohit Raj Sah , Suvodip Mukherjee

In contrast to the large-scale primordial power spectrum $\mathcal{P}_{\zeta}(k)$ and primordial non-Gaussianity $f_{\mathrm{NL}}$, which are strictly constrained, the small-scale $\mathcal{P}_{\zeta}(k)$ and $f_{\mathrm{NL}}$ remain less…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-26 Jing-Zhi Zhou , Zhi-Chao Li , Di Wu

The recently released data by pulsar timing array (PTA) collaborations present strong evidence for a stochastic signal consistent with a gravitational-wave background. Assuming this signal originates from scalar-induced gravitational waves,…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-27 Lang Liu , Zu-Cheng Chen , Qing-Guo Huang

We revisit the calculation of third order \acp{SIGW} and extend it from a monochromatic primordial power spectrum to a more general log-normal one. We investigate the impact of third order SIGWs on \ac{SNR} of \ac{LISA} and \ac{PTA}…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Zhe Chang , Yu-Ting Kuang , Di Wu , Jing-Zhi Zhou

Scalar-Induced Gravitational Waves (SIGWs), second-order tensor modes sourced by first-order scalar fluctuations in General Relativity (GR), are expected to contribute to the Stochastic Gravitational Wave Background (SGWB) potentially…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Anjali Abirami Kugarajh , Marisol Traforetti , Andrea Maselli , Sabino Matarrese , Angelo Ricciardone

Scalar-induced gravitational waves (SIGWs) have recently attracted considerable interest, both as a possible explanation for the nanohertz signal reported by the Pulsar Timing Array (PTA) collaboration and for their connection with…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 William Iania , Angelo Ricciardone

We introduce a technique for gravitational-wave analysis, where Gaussian process regression is used to emulate the strain spectrum of a stochastic background using population-synthesis simulations. This leads to direct Bayesian inference on…

Astrophysics of Galaxies · Physics 2017-05-10 Stephen R. Taylor , Joseph Simon , Laura Sampson

We search for an isotropic stochastic gravitational-wave background (GWB) in the $12.5$-year pulsar timing data set collected by the North American Nanohertz Observatory for Gravitational Waves. Our analysis finds strong evidence of a…

The nanohertz stochastic gravitational wave background (SGWB) is an excellent early universe laboratory for testing the fundamental properties of gravity. In this letter, we elucidate on the full potential of pulsar timing array (PTA) by…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Reginald Christian Bernardo , Kin-Wang Ng

Standard perturbative calculations of scalar-induced gravitational waves (SIGWs) have neglected nonperturbative effects in the large-amplitude regime. We develop a hybrid numerical framework to signify nonperturbative effects on the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Zhuan Ning , Zi-Yan Yuwen , Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang