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We consider two non-canonical scalar fields (tachyon and DBI) with E-model type of the potential. We study cosmological inflation in these models to find possible $\alpha$-attractors. We show that similar to the canonical scalar field case,…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Narges Rashidi , Kourosh Nozari

A generalization of inflationary $\alpha$-attractor models (``polynomial $\alpha$-attractor'') was recently proposed by Kallosh and Linde, in which the potential involves logarithmic functions of the inflaton so that the derivative of the…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-06 Kei-ichiro Kubota , Hiroki Matsui , Takahiro Terada

We study flat FLRW $\alpha$-attractor $\mathrm{E}$- and $\mathrm{T}$-models by introducing a dynamical systems framework that yields regularized unconstrained field equations on two-dimensional compact state spaces. This results in both…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Artur Alho , Claes Uggla

Analysis of regular inflationary cosmological models with two torsion functions filled with scalar field with quadratic potential and ultrarelativistic matter is carried out numerically. Properties of different stages of regular…

General Relativity and Quantum Cosmology · Physics 2014-11-18 A. S. Garkun , V. I. Kudin , A. V. Minkevich

We study the generalized $\alpha$ attractor model in the context of the late time cosmic acceleration. The model interpolates between the scaling freezing and thawing dark energy models. In the slow roll region, the original potential is…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-06 M. Shahalam , Ratbay Myrzakulov , Shynaray Myrzakul , Anzhong Wang

We present an analysis of cosmological models with mixed dark matter (spectrum slope of density perturbations $n_S \in [0.6, 1.6]$, hot dark matter abundance $\Omega_\nu \in [0.0, 0.6]$) in spatially flat Universe, based on Press-Schechter…

Astrophysics · Physics 2011-04-15 N. A. Arkhipova , V. N. Lukash , E. V. Mikheeva

In this work, we have developed an elegant algorithm to study the cosmological consequences from a huge class of quantum field theories (i.e. superstring theory, supergravity, extra dimensional theory, modified gravity etc.), which are…

High Energy Physics - Theory · Physics 2017-07-21 Sayantan Choudhury

We develop a framework to study the phase space of a system consisting of a scalar field rolling down an arbitrary potential with varying slope and a background fluid, in a cosmological setting. We give analytical approximate solutions of…

Astrophysics · Physics 2008-11-26 S. C. C. Ng , N. J. Nunes , F. Rosati

We consider a physically viable cosmological model that has a field dependent Gauss-Bonnet coupling in its effective action, in addition to a standard scalar field potential. The presence of such terms in the four dimensional effective…

High Energy Physics - Theory · Physics 2008-11-26 Ishwaree P Neupane , Benedict M N Carter

The partition function of a system of galaxies in gravitational interaction can be cast in an Ising Model form, and this reformulated via a Hubbard--Stratonovich transformation into a three dimensional stochastic and classical scalar field…

Astrophysics · Physics 2007-05-23 J. Perez--Mercader , T. Goldman , D. Hochberg , R. Laflamme

We investigate spatially flat isotropic cosmological models which contain a scalar field with an exponential potential and a perfect fluid with a linear equation of state. We include an interaction term, through which the energy of the…

Astrophysics · Physics 2008-11-26 Andrew P. Billyard , Alan A. Coley

An approach to construct cosmological inflation models on the basis of a certain dependence of the scalar field evolution on the e-folds number is considered. The reconstruction of the model background parameters according to the kind of…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Igor V. Fomin , Vladimir L. Glushkov , Evgenii S. Dentsel , Gevorg D. Manucharyan , Vyacheslav A. Sizov

By using a bottom-up reconstruction technique for non-minimally coupled scalar-tensor theories, we realize the Einstein frame attractor cosmologies in the $\Omega (\phi)$-Jordan frame. For our approach, what is needed for the reconstruction…

General Relativity and Quantum Cosmology · Physics 2018-04-04 S. D. Odintsov , V. K. Oikonomou

We investigate the wave propagation on a compact 3-manifold of constant positive curvature with a non trivial topology, the Poincar\'e dodecahedral space, when the scale factor is exponentially increasing. We prove the existence of a limit…

Mathematical Physics · Physics 2017-02-20 Agnes Bachelot-Motet , Alain Bachelot

We show that if the $\alpha$-attractor model is realized by the spontaneous breaking of the scale symmetry, then the stability and the dynamics of the vector field that gauges the scale symmetry can severely constrain the $\alpha$-parameter…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-17 Ozgur Akarsu , Sibel Boran , Emre O. Kahya , Nese Ozdemir , Mehmet Ozkan

Aether Scalar-Tensor theory is a relativistic alternative gravity model that behaves like cold dark matter on cosmological scales while predicting the MOND force-law in astrophysical systems. The theory correctly predicts the cosmic…

General Relativity and Quantum Cosmology · Physics 2025-05-07 Christopher Reyes , Jeremy Sakstein

We construct a new model of quintessential $\alpha$ attractor inflation in conjunction with the features of non-oscillating early dark energy (EDE). Slow-roll plateau of this model is obtained, and analyzed in $k$-space, through the…

General Relativity and Quantum Cosmology · Physics 2024-04-15 Arunoday Sarkar , Buddhadeb Ghosh

We study attractor mechanism in extremal black holes of Einstein-Born-Infeld theories in four dimensions. We look for solutions which are regular near the horizon and show that they exist and enjoy the attractor behavior. The attractor…

High Energy Physics - Theory · Physics 2008-11-26 B. Chandrasekhar , H. Yavartanoo , S. Yun

Models of inflation in a gravitational background with an anisotropic space-time scaling are studied. The background is a higher-dimensional Lifshitz throat with the anisotropy scaling $z\neq 1$. After the dimensional reduction, the…

High Energy Physics - Theory · Physics 2013-11-20 Mohsen Alishahiha , Hassan Firouzjahi , Kazuya Koyama , Mohammad Hossein Namjoo

We perform a Bayesian study of a generalization of the basic $\alpha$-attractor T model given by the potential $V(\phi)=V_0\left[1-\text{sech}^{p}\left(\phi/\sqrt{6\alpha}M_{pl}\right)\right]$ where $\phi$ is the inflaton field and the…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Francisco X. Linares Cedeño , Gabriel German , Juan Carlos Hidalgo , Ariadna Montiel
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