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In this paper, we are going to investigate a new perspective of the two-field inflation model with respect to the swampland dS conjecture. At the first step, we study the two-fields inflation model, and apply the swampland conjecture to our…

General Relativity and Quantum Cosmology · Physics 2023-02-14 S. Noori Gashti

There has been much recent discussion, and some confusion, regarding the use of existing observational data to estimate the likelihood that next-generation cosmic microwave background (CMB) polarization experiments might detect a nonzero…

Astrophysics · Physics 2024-03-13 Wessel Valkenburg , Lawrence M. Krauss , Jan Hamann

Tensor time series, which is a time series consisting of tensorial observations, has become ubiquitous. It typically exhibits high dimensionality. One approach for dimension reduction is to use a factor model structure, in a form similar to…

Methodology · Statistics 2024-07-19 Yuefeng Han , Rong Chen , Dan Yang , Cun-Hui Zhang

By writing the running of the scalar spectral index completely in terms of the scalar index $n_s$ and the tensor-to-scalar ratio $r$ we are able to impose constraints to models of inflation which are independent of the parameters of the…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Gabriel German

We present phenomenological signatures for a modified gravity model f(R), constructed with linear, quadratic, cubic and quartic terms. The obtained signatures satisfy current phenomenological bounds reported by PLANCK and BICEP3.…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Enrique Diaz , Oscar Meza-Aldama

We are on the verge of the first precision testing of the inflationary cosmology as a model for the origin of structure in the Universe. I review the key predictions of inflation which can be used as observational tests, in the sense of…

Astrophysics · Physics 2007-05-23 Andrew R Liddle

In this paper, we analyze a simple class of Horndeski scalar-tensor theory. We investigate several cosmological solutions for inflation, bounce scenario and finite future-time singuarities. Perturbations respect to…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Ratbay Myrzakulov , Lorenzo Sebastiani

We study the $R^p$ inflationary model of [Muller:1989rp] for $p>2$ using the result of Ref. [Motohashi:2014tra]. After reproducing the observable quantities: the power spectral index $n_s$, its corresponding running…

General Relativity and Quantum Cosmology · Physics 2018-07-13 Lei-Hua Liu

We explore the upper bound on the tensor-to-scalar ratio $r$ in supersymmetric (F-term) hybrid inflation models with the gauge symmetry breaking scale set equal to the value $2.86\cdot10^{16} {\rm GeV}$, as dictated by the unification of…

High Energy Physics - Phenomenology · Physics 2014-05-30 Matthew Civiletti , Constantinos Pallis , Qaisar Shafi

The advent of high-precision cosmological observations has challenged many traditional inflationary models. Data from $Planck$ 2018 along with the BICEP/$Keck$ 2018 result have already ruled out most of the established models by placing…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Biswajit Deb , Atri Deshamukhya

We study to what extent the spectral index $n_s$ and the tensor-to-scalar ratio $r$ determine the field excursion $\Delta\phi$ during inflation. We analyse the possible degeneracy of $\Delta \phi$ by comparing three broad classes of…

High Energy Physics - Theory · Physics 2014-09-08 Juan Garcia-Bellido , Diederik Roest , Marco Scalisi , Ivonne Zavala

A procedure is developed for the recovery of the inflationary potential over the interval that affects astrophysical scales ($\approx 1\Mpc - 10^4\Mpc$). The amplitudes of the scalar and tensor metric perturbations and their power-spectrum…

Astrophysics · Physics 2013-11-13 M. S. Turner

We demonstrate that the strict upper bounds on the energy scale of inflation and on the tensor-to-scalar ratio can be somewhat relaxed if we assume that - after an initial period of slow rolling when scales probed today in CMB experiments…

High Energy Physics - Theory · Physics 2020-05-20 Vahid Kamali , Robert Brandenberger

We construct a class of viable bouncing models that are conformally related to cosmological inflation. There are three main difficulties in constructing such a model: (i) A stable (attractor) solution, (ii) A non-singular bounce, and (iii)…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-25 Debottam Nandi

Recently researchers have been studying various conditions as swampland criteria in cosmological implications. They have studied many inflation models with different swampland conditions. Occasionally these conjectures are modified and lead…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-14 S. Noori Gashti , J. Sadeghi , B. Pourhassan

We propose new versions of the slow-roll approximation for inflationary models with nonminimally coupled scalar fields. We derive more precise expressions for the standard slow-roll parameters as functions of the scalar field. To verify the…

General Relativity and Quantum Cosmology · Physics 2025-05-30 Ekaterina O. Pozdeeva , Maria A. Skugoreva , Alexey V. Toporensky , Sergey Yu. Vernov

We consider the torsional completion of gravity with spinor and scalar fields: we show how in this environment conditions of extreme symmetry or specific approximations imply the scalar field to be constant, so that slow-roll takes place…

General Relativity and Quantum Cosmology · Physics 2017-07-07 Luca Fabbri

We investigate the prior dependence of constraints on cosmic tensor perturbations. Commonly imposed is the strong prior of the single-field inflationary consistency equation, relating the tensor spectral index nT to the tensor-to-scalar…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-28 Marina Cortês , Andrew R. Liddle , David Parkinson

In this work, we solved the scalar and tensor perturbation equations numerically and using the improved uniform approximation method together with the third-order phase-integral method, for the $\alpha$-attractor inflationary model. This…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-13 Jordan Zambrano , Miguel Agama , Marcos Garzón , Werner Bramer-Escamilla , Clara Rojas , Teófilo Vargas

We have re-examined Mukhanov parametrization for inflationary equation of state, $1+\omega=\frac{\beta}{({N}+1)^\alpha}$, in the light of Planck 2018 results and latest bound of tensor-to-scalar ratio employing Hamilton-Jacobi formalism. We…

General Relativity and Quantum Cosmology · Physics 2025-06-27 Barun Kumar Pal
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