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Recent pulsar timing observations by the Parkers Pulsar Timing Array and European Pulsar Timing Array teams obtained the constraint on the relic gravitational waves at the frequency $f_*=1/{\rm yr}$, which provides the opportunity to…

Cosmology and Nongalactic Astrophysics · Physics 2011-05-19 Wen Zhao

Measurement of the pulsar timing residuals provides a direct way to detect relic gravitational waves at the frequency $f\sim 1/{\rm yr}$. In this paper, we investigate the constraints on the inflationary parameters, the tensor-to-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-17 Wen Zhao , Yang Zhang , Xiao-Peng You , Zong-Hong Zhu

We obtained the analytic solutions of relic gravitational waves (RGWs) for the slow-roll inflation with a power-law form potential of the scalar field, $V=\lambda\phi^n$. Based on a reasonable range of $n$ constrained by cosmic microwave…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Ming-Lei Tong

The recently released data by pulsar timing array (PTA) collaborations have amassed substantial evidence corroborating the existence of a stochastic signal consistent with a gravitational-wave background at frequencies around the nanohertz…

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

With LIGO having achieved its design sensitivity and the LIGO S5 strain data being available, constraints on the relic gravitational waves (RGWs) becomes realistic. The analytical spectrum of RGWs generated during inflation depends…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Y. Zhang , M. L. Tong , Z. W. Fu

Correlated time-of-arrival measurements by pulsar timing arrays (PTAs) have provided a new means of constraining astrophysical or cosmological models that produce a gravitational wave (GW) background. For this work, we discuss the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-03 Reginald Christian Bernardo , Seoktae Koh , Gansukh Tumurtushaa

We study the impact of a running index $\alpha_t$ on the spectrum of relic gravitational waves (RGWs) over the whole range of frequency $(10^{-18}\sim 10^{10})$ Hz and reveal its implications in RGWs detections and in cosmology. Analytical…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Ming-Lei Tong , Yang Zhang

According to the CMB observations, Mielczarek (\cite{Mielczarek}) evaluated the reheating temperature, which could help to determine the history of the Universe. In this paper, we recalculate the reheating temperature using the new data…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 Ming-Lei Tong

By leveraging the limits on primordial magnetic fields (PMFs), their contributions to secondary gravitational waves (GWs), and the recent observations by the pulsar timing arrays (PTAs), we arrive at constraints on the epoch of reheating.…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-05 Subhasis Maiti , Debaprasad Maity , L. Sriramkumar

Recently, several major pulsar timing array (PTA) collaborations have assembled strong evidence for the existence of a gravitational-wave background at frequencies around the nanohertz regime. Assuming that the PTA signal is attributed to…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-27 Lang Liu , You Wu , Zu-Cheng Chen

Pulsar timing array (PTA) provides an excellent opportunity to detect the gravitational waves (GWs) in nanoHertz frequency band. In particular, due to the larger number of "arms" in PTA, it can be used to test gravity by probing the…

General Relativity and Quantum Cosmology · Physics 2019-03-29 Rui Niu , Wen Zhao

Various pulsar timing array (PTA) experiments (NANOGrav, EPTA, PPTA, CPTA, including data from InPTA) very recently reported evidence for excess red common-spectrum signals in their latest datasets, with inter-pulsar correlations following…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-25 Sunny Vagnozzi

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

The pulsar timing array (PTA) collaborations have recently suggested the presence of a gravitational wave background at nano-Hertz frequencies. In this paper, we explore potential inflationary interpretation of this signal within the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-14 Chengjie Fu , Jing Liu , Xing-Yu Yang , Wang-Wei Yu , Yawen Zhang

In this paper, we investigate scalar-induced gravitational waves (GWs) generated in the post-inflationary universe to infer new limits on warm inflation. We specifically examine the evolution of primordial GWs by scalar perturbations…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-26 Rocco D'Agostino , Matteo Califano

Recent evidence for the stochastic gravitational wave backgorund reported by the pulsar timing arrays (PTA) can be interpreted as a signal from the cosmological phase transition. We use up-to-date models of the gravitational wave power…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-14 T. Boyer , A. Neronov

Relic gravitational waves (RGWs) generated in the early Universe form a stochastic GW background, which can be directly probed by measuring the timing residuals of millisecond pulsars. In this paper, we investigate the constraints on the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Xiao-Jin Liu , Wen Zhao , Yang Zhang , Zong-Hong Zhu

Pulsar timing array (PTA) collaborations recently presented evidence for a gravitational-wave background (GWB) signal at nanohertz frequencies. In this paper, we introduce new refitting techniques for PTA data analysis that elevate related…

General Relativity and Quantum Cosmology · Physics 2025-07-01 David Esmyol , Antonio J. Iovino , Kai Schmitz

Recent pulsar timing array (PTA) experiments have reported strong evidence of the stochastic gravitational wave background (SGWB). If interpreted as primordial gravitational waves (GWs), the signal favors a strongly blue-tilted spectrum.…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-14 Mian Zhu , Gen Ye , Yong Cai

The stochastic gravitational wave background (SGWB) detected recently by the pulsar timing arrays (PTAs) observations may have cosmological origins. In this work we consider a model of single field inflation containing an intermediate phase…

General Relativity and Quantum Cosmology · Physics 2023-10-10 Hassan Firouzjahi , Alireza Talebian
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