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Related papers: Blue-tilted Tensor Spectrum and Thermal History of…

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Motivated by the string gas cosmological model, which predicts a blue tilt of the primordial gravitational wave spectrum, we examine the constraints imposed by current and planned observations on a blue tilted tensor spectrum. Starting from…

Astrophysics · Physics 2009-06-23 Andrew Stewart , Robert Brandenberger

We discuss the possibility of explaining the recent NANOGrav results by inflationary gravitational waves (IGWs) with a blue-tilted primordial spectrum. Although such IGWs can account for the NANOGrav signal without contradicting the upper…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Sachiko Kuroyanagi , Tomo Takahashi , Shuichiro Yokoyama

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

Inflation predicts a primordial gravitational wave spectrum that is slightly ``red,'' i.e., nearly scale-invariant with slowly increasing power at longer wavelengths. In this paper, we compute both the amplitude and spectral form of the…

High Energy Physics - Theory · Physics 2009-09-15 Latham A. Boyle , Paul J. Steinhardt , Neil Turok

We study the tilt of the primordial gravitational waves spectrum. A hint of blue tilt is shown from analyzing the BICEP2 and POLARBEAR data. Motivated by this, we explore the possibilities of blue tensor spectra from the very early universe…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Yi Wang , Wei Xue

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 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

Primordial gravitational waves generated during inflation lead to the B-mode polarization in the cosmic microwave background and a stochastic gravitational wave background in the Universe. We will explore the current constraint on the tilt…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Jun Li , Zu-Cheng Chen , Qing-Guo Huang

At the linear level, the gravitational wave (GW) spectrum predicted by inflation, and many of its alternatives, can have arbitrarily small amplitude and consequently an unconstrained tilt. However, at second order, tensor fluctuations are…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-10 Ido Ben-Dayan , Brian Keating , David Leon , Ira Wolfson

We present a series of theoretical constraints on the potentially viable inflation models that might yield a blue spectrum for primordial tensor perturbations. By performing a detailed dynamical analysis we show that, while there exists…

High Energy Physics - Theory · Physics 2015-12-09 Yi-Fu Cai , Jinn-Ouk Gong , Shi Pi , Emmanuel N. Saridakis , Shang-Yu Wu

Assuming that inflation is followed by a phase where the energy density of the Universe is dominated by a component with a general equation of state, we evaluate the spectrum of primordial gravitational waves induced in the…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-16 Nicolás Bernal , Fazlollah Hajkarim

Recently, there has been growing interest on primordial ``blue" ($n>1$) perturbation spectra, motivated both by a composite set of observational data on large scales and from the point of view of theoretical model building. After reviewing…

We show that if the propagating speed of gravitational waves (GWs) gradually diminishes during inflation, the power spectrum of primordial GWs will be strongly blue, while that of the primordial scalar perturbation may be unaffected. We…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-10 Yong Cai , Yu-Tong Wang , Yun-Song Piao

We study the induced primordial gravitational waves (GW) coming from the effect of scalar perturbation on the tensor perturbation at the second order of cosmological perturbation theory. We use the evolution of the standard model degrees of…

High Energy Physics - Phenomenology · Physics 2020-02-19 Fazlollah Hajkarim , Jürgen Schaffner-Bielich

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

A stochastic gravitational wave background is a prediction of a number of astrophysical and cosmological phenomena including early Universe Cosmology. Recently, the NANOGrav Collaboration reported conclusive evidence for a stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-08 Ido Ben-Dayan , Utkarsh Kumar , Udaykrishna Thattarampilly , Amresh Verma

The reheating temperature plays a crucial role in the early universe's evolution, marking the transition from inflation to the radiation-dominated era. It directly impacts the number of $e$-folds and, consequently, the observable parameters…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 Jaume de Haro , Supriya Pan

In this work we shall prove that the tensor spectral index of the primordial tensor perturbations for GW170817-compatible Einstein-Gauss-Bonnet theories, takes the approximate simplified form $n_{\mathcal{T}}\simeq…

General Relativity and Quantum Cosmology · Physics 2024-02-06 V. K. Oikonomou , Pyotr Tsyba , Olga Razina

The epoch when the Universe had a temperature higher than a GeV is long before any time at which we have reliable observations constraining the cosmological evolution. For example, the occurrence of a second burst of inflation (sometimes…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luis E Mendes , Andrew R Liddle

Supersolid inflation is a class of inflationary theories that simultaneously breaks time and space reparameterization invariance during inflation, with distinctive features for the dynamics of cosmological fluctuations. We investigate…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Angelo Ricciardone , Gianmassimo Tasinato
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