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The relic gravitational wave (RGW) generated during the inflation depends on the initial condition via the amplitude, the spectral index $n_t$ and the running index $\alpha_t$. CMB observations so far have only constrained the tensor-scalar…

General Relativity and Quantum Cosmology · Physics 2015-05-22 Jie-Wen Chen , Yang Zhang , Wen Zhao , Ming-Lei Tong

We present an approximate, analytical calculation of the reionized spectra $C_l^{XX}$ of cosmic microwave background radiation (CMB) anisotropies and polarizations generated by relic gravitational waves (RGWs). Three simple models of…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 T. Y. Xia , Y. Zhang

Using numerical simulations of helical inflationary magnetogenesis in a low reheating temperature scenario, we show that the magnetic energy spectrum is strongly peaked at a particular wavenumber that depends on the reheating temperature.…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Axel Brandenburg , Yutong He , Ramkishor Sharma

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 prospect of detecting relic gravitational waves (RGWs), through their imprint in the cosmic microwave background radiation, provides an excellent opportunity to study the very early Universe. In simplest viable theoretical models the…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 W. Zhao , D. Baskaran

A strong variable gravitational field of the very early Universe inevitably generates relic gravitational waves by amplifying their zero-point quantum oscillations. We begin our discussion by contrasting the concepts of relic gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 D. Baskaran , L. P. Grishchuk , A. G. Polnarev

The thermal spectrum of relic gravitational waves causes the new amplitude that called `modified amplitude'. Our analysis shows that, there exist some chances for detection of the thermal spectrum in addition to the usual spectrum by…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-06 Basem Ghayour , Jafar Khodagholizadeh

Here, a natural non-canonical inflationary model based on a power-law Lagrangian is investigated. We analyze the scalar spectral index $n_{\rm s}$ and the tensor-to-scalar ratio $r$ of the model and identify their degeneracies with respect…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Karam Bahari , Soma Heydari , Kayoomars Karami

One of the fundamental characteristics of slow roll inflation is its generation of tensor perturbations, which manifest as stochastic gravitational waves (GWs). Slow roll inflation results in a nearly scale-invariant GW spectrum that…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-02 Suvashis Maity , Md Riajul Haque

Stochastic gravitational wave backgrounds (SGWBs) receive increasing attention and provide a new possibility to directly probe the early Universe. In the preheating process at the end of inflation, parametric resonance can generate large…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-11 Rong-Gen Cai , Zong-Kuan Guo , Pei-Ze Ding , Cheng-Jie Fu , Jing Liu

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

The accelerating expansion of the Universe at the present stage is a process that will change the spectrum of relic gravitational waves. Here we present a numerical calculation for the power spectrum of relic gravitational waves in the…

Astrophysics · Physics 2010-05-27 Yang Zhang , Wen Zhao , Yefei Yuan , Tianyang Xia

We study the potential impact of detecting the inflationary gravitational wave background by the future space-based gravitational wave detectors, such as DECIGO and BBO. The signal-to-noise ratio of each experiment is calculated for…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Sachiko Kuroyanagi , Takeshi Chiba , Naoshi Sugiyama

We present a study of spectrum estimation of relic gravitational waves (RGWs) as a Gaussian stochastic background from output signals of future space-borne interferometers, like LISA and ASTROD. As the target of detection, the analytical…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Bo Wang , Yang Zhang

In the past two decades, significant advancements have been made in observational techniques to enhance our understanding of the universe and its evolutionary processes. However, our knowledge of the post-inflation reheating phase remains…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Subhasis Maiti , Debaprasad Maity , Rohan Srikanth

In a recently proposed approach to testing models of inflation by Cosmic Microwave Background (CMB) radiation the reheating temperature is directly expressed in terms of the CMB observables. Its model independent bounds translate in a given…

High Energy Physics - Phenomenology · Physics 2026-04-21 Michał Marciniak , Marek Olechowski , Stefan Pokorski

Searches for primordial gravitational waves have resulted in constraints in a large frequency range from a variety of sources. The standard Cosmic Microwave Background (CMB) technique is to parameterise the tensor power spectrum in terms of…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Thomas J. Clarke , Edmund J. Copeland , Adam Moss

One of the most important issues in an inflationary theory as standard or quintessential inflation is the mechanism to reheat the universe after the end of the inflationary period in order to match with the Hot Big Bang universe. In…

General Relativity and Quantum Cosmology · Physics 2023-01-03 Jaume Haro , Llibert Aresté Saló

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

Analyzing the imprint of relic gravitational waves (RGWs) on the cosmic microwave background (CMB) power spectra provides a way to determine the signal of RGWs. In this Letter, we discuss a statistical bias, which could exist in the data…

Cosmology and Nongalactic Astrophysics · Physics 2011-07-25 Wen Zhao