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When the gravitons are created thanks to the variation of the space-time curvature the multiplicity distributions quantify the probability of producing a given number of species around the average occupation numbers of the underlying…

High Energy Physics - Theory · Physics 2025-07-15 Massimo Giovannini

The dynamical evolution of the refractive index of the tensor modes of the geometry produces a specific class of power spectra characterized by a blue (i.e. slightly increasing) slope which is directly determined by the competition of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Massimo Giovannini

The low-frequency gravitons correspond to typical wavelengths that left the Hubble radius during the early inflationary stages of expansion and reentered after matter radiation equality. Consequently the temperature and the polarization…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Massimo Giovannini

Stationary processes do not accurately describe the diffuse backgrounds of relic gravitons whose correlations are homogeneous in space (i.e. only dependent upon the distance between the two spatial locations) but not in time. The symmetries…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Massimo Giovannini

Cosmic gravitons are expected in the MHz-GHz regions that are currently unreachable by the operating wide-band interferometers and where various classes of electromechanical detectors have been proposed through the years. The minimal chirp…

General Relativity and Quantum Cosmology · Physics 2023-06-12 Massimo Giovannini

The standard inflationary theory focuses on the freezing of super-horizon fluctuations, which generate a scale-invariant spectrum, while the sub-horizon modes are expected to remain in thermal equilibrium. Building upon recent development…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Chen-Hao Wu , Xiao Liang , Ya-Peng Hu

The timeline of the expansion rate ultimately defines the interplay between high energy physics, astrophysics and cosmology. The guiding theme of this topical review is provided by the scrutiny of the early history of the space-time…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Massimo Giovannini

The generated relic gravitational waves were underwent several stages of evolution of the universe such as inflation and reheating. These stages were affected on the shape of spectrum of the waves. As well known, at the end of inflation,…

General Relativity and Quantum Cosmology · Physics 2019-08-06 Basem Ghayour

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 power spectrum of primordial tensor perturbations $\mathcal{P}_t$ increases rapidly in high frequency region if the spectral index $n_t>0$. It is shown that the amplitude of relic gravitational wave $h_t$($5\times10^9$Hz) varies from…

General Physics · Physics 2016-08-24 Xin Li , Sai Wang , Hao Wen

The stochastic gravitational-wave background is imprinted on the times of arrival of radio pulses from millisecond pulsars. Traditional pulsar timing analyses fit a timing model to each pulsar and search the residuals of the fit for a…

High Energy Astrophysical Phenomena · Physics 2023-11-13 William DeRocco , Jeff A. Dror

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…

The super-inflationary phase is predicted by the Loop Quantum Cosmology. In this paper we study the creation of gravitational waves during this phase. We consider the inverse volume corrections to the equation for the tensor modes and…

General Relativity and Quantum Cosmology · Physics 2007-10-16 Jakub Mielczarek , Marek Szydlowski

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

This paper investigates the effects of nonvanishing spatial curvature on the propagation of primordial gravitational waves produced during inflation. In particular, we consider tensor perturbations over a homogeneous and isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-29 Rocco D'Agostino , Matteo Califano , Nicola Menadeo , Daniele Vernieri

We examine the nHz gravitational wave (GW) foreground of stars and black holes (BHs) orbiting SgrA* in the Galactic Center. A cusp of stars and BHs generates a continuous GW spectrum below 40 nHz; individual BHs within 1 mpc to SgrA* stick…

Astrophysics of Galaxies · Physics 2015-05-30 Bence Kocsis , Alak Ray , Simon Portegies Zwart

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

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

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 spectra of relic gravitational waves produced as a result of cosmological expansion of the inflationary models are derived in Brans-Dicke theory of gravity.The time dependence of the very early Hubble parameter and matter energy density…

General Relativity and Quantum Cosmology · Physics 2009-11-10 B. K. Sahoo