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In the non-standard model of relic gravitational waves (RGWs) generated in the early universe, the theoretical spectrum of is mainly described by an amplitude $r$ and a spectral index $\beta$, the latter usually being determined by the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Ming-Lei Tong , Yang Zhang , Wen Zhao , Jin-Zhong Liu , Cheng-Shi Zhao , Ting-Gao Yang

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

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

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

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

Quantum fluctuations of the gravitational field in the early Universe, amplified by inflation, produce a primordial gravitational-wave background across a broad frequency band. We derive constraints on the spectrum of this gravitational…

We derive a general master equation relating the gravitational-wave observables r and Omega_gw(f). Here r is the tensor-to-scalar ratio, constrained by cosmic-microwave-background (CMB) experiments; and Omega_gw(f) is the energy spectrum of…

Astrophysics · Physics 2009-11-13 Latham A. Boyle , Alessandra Buonanno

Observations have recently indicated that the Universe at the present stage is in an accelerating expansion, a process that has great implications. We evaluate the spectrum of relic gravitational waves in the current accelerating Universe…

Astrophysics · Physics 2007-05-23 Yang Zhang , Yefei Yuan , Wen Zhao , Ying-Tian Chen

We carry out the determination of the amplitude of relic gravitational waves power spectrum. Indirect best-fit technique was applied to compare observational data and theory predictions. As observations we have used data on large-scale…

Astrophysics · Physics 2007-05-23 B. Novosyadlyj , S. Apunevych

We study relic gravitational waves in the paradigm of quintessential inflation. In this framework, irrespective of the underlying model, inflation is followed by the kinetic regime. Thereafter, the field energy density remains sub-dominant…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Safia Ahmad , R. Myrzakulov , M. Sami

The spectrum of primordial gravitational waves (GWs), especially its tilt $n_T$, carries significant information about the primordial universe. Combining recent aLIGO and Planck2015+BK14 data, we find that the current limit is…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-05 Yu-Tong Wang , Yong Cai , Zhi-Guo Liu , Yun-Song Piao

Recent research show that the cosmological components of the Universe should influence on the propagation of Gravitational Waves (GWs) and even it has been proposed a new way to measure the cosmological constant using Pulsar Timing Arrays…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-08 Jorge Alfaro , Mauricio Gamonal

Gravitational waves (GW) produced in the early Universe contribute to the number of relativistic degrees of freedom, $N_{\rm eff}$, during Big Bang Nucleosynthesis (BBN). By using the constraints on $N_{\rm eff}$, we present a new bound on…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 Erwin H. Tanin , Tommi Tenkanen

Pulsar timing array (PTA) data releases showed strong evidence for a stochastic gravitational-wave background in the nanohertz band. When the signal is interpreted by a scenario of scalar-induced gravitational waves (SIGWs), we encounter…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-30 Qing-Hua Zhu , Zhi-Chao Zhao , Sai Wang , Xin Zhang

We investigate constraints on the spectral index of primordial gravitational waves (GWs), paying particular attention to a blue-tilted spectrum. Such constraints can be used to test a certain class of models of the early Universe. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-23 Sachiko Kuroyanagi , Tomo Takahashi , Shuichiro Yokoyama

Direct detection of low-frequency gravitational waves ($10^{-9} - 10^{-8}$ Hz) is the main goal of pulsar timing array (PTA) projects. One of the main targets for the PTAs is to measure the stochastic background of gravitational waves (GWB)…

Recently, pulsar timing array (PTA) collaborations, including NANOGrav, have reported evidence of a stochastic gravitational wave background within the nHz frequency range.\ It can be interpreted by gravitational waves from preheating era.…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 M. Bousder , E. Salmani , A. Riadsolh , H. Ez-Zahraouy , A. El Fatimy , M. El Belkacemi

Using a statistically rigorous analysis method, we place limits on the existence of an isotropic stochastic gravitational wave background using pulsar timing observations. We consider backgrounds whose characteristic strain spectra may be…

Relic gravitational waves (RGWs) , a background originated during inflation, would give imprints on the pulsar timing residuals. This makes RGWs be one of important sources for detection using the method of pulsar timing. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Ming-Lei Tong , Yong-Heng Ding , Cheng-Shi Zhao , Feng Gao , Bao-Rong Yan , Ting-Gao Yang , Yu-Ping Gao

We present the first attempt to use a combination of CMB, LIGO, and PPTA data to constrain both the tilt and the running of primordial tensor power spectrum through constraints on the gravitational wave energy density generated in the early…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 P. Daniel Meerburg , Renée Hložek , Boryana Hadzhiyska , Joel Meyers
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