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The assumption that our Universe is close to a late time fixed point of the equations of cosmology, leads to a modification of the latter to include energy exchange between the matter and the "dark energy". The brane-world scenario provides…

High Energy Physics - Phenomenology · Physics 2007-05-23 Theodore N. Tomaras

We consider the generic scenario of dark energy which arises through the latent heat of a hidden sector first order cosmological phase transition. This field could account for the extra radiation degree of freedom suggested by the CMB. We…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-26 Ue-Li Pen , Pengjie Zhang

In this work, we have carried on dynamical system analysis of hessence field coupling with dark matter in $f(T)$ gravity. We have analysed the critical points due to autonomous system. The resulting autonomous system is non-linear. So, we…

General Relativity and Quantum Cosmology · Physics 2017-07-20 Jyotirmay Das Mandal , Ujjal Debnath

In view of the possibility that the 3D Navier-Stokes equations (NSE) might not always have regular solutions, we introduce an abstract framework for studying the asymptotic behavior of multi-valued dissipative evolutionary systems with…

Analysis of PDEs · Mathematics 2007-05-23 Alexey Cheskidov , Ciprian Foias

In this study, cosmological models are considered, where dark matter and dark energy are coupled and may exchange energy through non-gravitational interactions with one other. These interacting dark energy (IDE) models have previously been…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Marcel A. van der Westhuizen , Amare Abebe

In this paper we consider that dark energy could be described solely by a complex scalar field with a Bose-Einstein condensate-like potential (denoted as CSFDE), that is, with a self-interaction and a mass term. In particular, we analyse a…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Belen Carvente , Víctor Jaramillo , Celia Escamilla-Rivera , Darío Núñez

We revisit the question of viability of bigravity cosmology as a candidate for dark energy. In the context of the low energy limit model, where matter couples to a single metric, we study linear perturbations around homogeneous and…

High Energy Physics - Theory · Physics 2019-05-22 Michael Kenna-Allison , A. Emir Gumrukcuoglu , Kazuya Koyama

The main goal of this work is to propose a generalized model of interacting dark energy which allows for the kinetic term of a scalar field to couple to the matter species a priori in the action. We derive the modified field equations, and…

General Relativity and Quantum Cosmology · Physics 2019-04-01 Bruno J. Barros

The paper proposes a novel cosmological model based on a two-field scenario, where the two fields are independently coupled with a specific invariant, based on cubic contractions of the Riemann tensor. After obtaining the modified Friedmann…

General Relativity and Quantum Cosmology · Physics 2022-07-06 Mihai Marciu

We study the interacting quintessence model with two different types of interaction by introducing a general parameterization of the quintessence potentials. The form of the quintessence potentials is arbitrary as the recent cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-27 Nandan Roy , Kazuharu Bamba

We investigate scalar-tensor theories, motivated by dark energy models, in the strong gravity regime around the black hole at the centre of our galaxy. In such theories general relativity is modified since the scalar field couples to…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-24 David Benisty , Anne-Christine Davis

We obtain a structurally stable family of smooth ordinary differential equations exhibiting heteroclinic tangencies for a dense subset of parameters. We use this to find vector fields $C^2$-close to an element of the family exhibiting a…

Dynamical Systems · Mathematics 2017-11-02 Isabel S. Labouriau , Alexandre A. P. Rodrigues

A long-time behavior of solutions to a nonlinear plate model subject to non-conservative and non-dissipative effects and nonlinear damping is considered. The model under study is a prototype for a suspension bridge under the effects of…

Dynamical Systems · Mathematics 2025-07-08 Irena Lasiecka , Jose H. Rodrigues , Madhumita Roy

Recent analysis of the observation data indicates that the equation of state of the dark energy might be smaller than -1, which leads to the introduction of phantom models featured by its negative kinetic energy to account for the regime of…

High Energy Physics - Theory · Physics 2009-11-10 Jian-gang Hao , Xin-zhou Li

In this work we examine the possibility that the dark energy (DE) density, $\rho_{de}$ can be dynamical and appear as a power series expansion of the Hubble rate (and its derivatives), i.e.$\rho_{de}(H,\dot{H},...)$. For the present…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Mehdi Rezaei , Mohammad Malekjani , Joan Sola

The late-time cosmological dynamics of disformal gravity are investigated using dynamical systems methods. It is shown that in the general case there are no stable attractors that screen fifth-forces locally and simultaneously describe a…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Jeremy Sakstein

The paper is devoted to a modification of the classical Cahn-Hilliard equation proposed by some physicists. This modification is obtained by adding the second time derivative of the order parameter multiplied by an inertial coefficient…

Analysis of PDEs · Mathematics 2015-05-14 Maurizio Grasselli , Giulio Schimperna , Sergey Zelik

In this contribution one examines the coupling of dark energy to the gauge fields, to neutrinos, and to the Higgs field. In the first case, one shows how a putative evolution of the fundamental couplings of strong and weak interactions via…

High Energy Physics - Phenomenology · Physics 2009-07-24 M. C. Bento , A. E. Bernardini , O. Bertolami

It is a puzzle why the densities of dark matter and dark energy are nearly equal today when they scale so differently during the expansion of the universe. This conundrum may be solved if there is a coupling between the two dark sectors. In…

High Energy Physics - Phenomenology · Physics 2009-07-09 D. Comelli , M. Pietroni , A. Riotto

We discuss the late-time property of universe and phantom field in the SO(1,1) dark energy model for the potential $V=V_0e^{-\beta\Phi^\alpha}$ with $\alpha$ and $\beta$ two positive constants. We assume in advance some conditions satisfied…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yi-Huan Wei
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