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We explore quintessence models of dark energy which exhibit non-minimal coupling between the dark matter and the dark energy components of the cosmic fluid. The kind of coupling chosen is inspired in scalar-tensor theories of gravity. We…

Astrophysics · Physics 2009-11-13 Tame Gonzalez , Genly Leon , Israel Quiros

Consider a Yang-Mills connection over a Riemann manifold $M=M^n$, $n\ge 3$, where $M$ may be compact or complete. Then its energy must be bounded from below by some positive constant, if $M$ satisfies certain conditions, unless the…

Differential Geometry · Mathematics 2011-03-28 Claus Gerhardt

Stability analysis of interacting dark energy models generally divides its parameters space into two regions: (i) $w_x \geq -1$ and $\xi \geq 0$ and (ii) $w_x \leq -1$ and $\xi \leq 0$, where $w_x$ is the dark energy equation of state and…

Cosmology and Nongalactic Astrophysics · Physics 2017-12-14 Weiqiang Yang , Supriya Pan , David F. Mota

The paper deals with a theoretical model for interacting dark energy. The interaction between the cold dark matter (dust) and the dark energy has been assumed to be non-gravitational in nature. Exact analytic cosmological solutions are…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Supriya Pan , Subhra Bhattacharya , Subenoy Chakraborty

We investigate the cosmological evolution of an interacting phantom energy model in which the phantom field has interaction with the dark matter. We discuss the existence and stability of scaling solutions for two types of specific…

Astrophysics · Physics 2007-05-23 Zong-Kuan Guo , Rong-Gen Cai , Yuan-Zhong Zhang

The Fredholm equations for one-dimensional two-component Fermions with repulsive and with attractive delta-function interactions are solved by an asymptotic expansion for A) strong repulsion, B) weak repulsion, C) weak attraction and D)…

Quantum Gases · Physics 2015-05-30 Xi-Wen Guan , Zhong-Qi Ma

In the scalar-tensor theory of gravitation it seems nontrivial to establish if solutions of the cosmological equations in the presence of a cosmological constant behave as attractors independently of the initial values. We develop a general…

High Energy Physics - Theory · Physics 2009-11-06 Kei-ichi Maeda , Yasunori Fujii

We investigate a kind of holographic dark energy model with the future event horizon the IR cutoff and the equation of state -1. In this model, the constraint on the equation of state automatically specifies an interaction between matter…

Astrophysics · Physics 2007-05-23 Hui Li , Zong-kuan Guo , Yuan-zhong Zhang

We investigate models of interacting dark matter and dark energy for the universe in a spatially flat Friedmann-Robertson-Walker (FRW) space-time. We find the "source equation" for the total energy density and determine the energy density…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-06 Luis P. Chimento

The energy-momentum tensor coming from one-parameter effective Yang- Mills theory is here used to describe the matter-energy content of the homogeneous and isotropic Friedmann cosmology in its early stages. The behavior of all solutions is…

General Relativity and Quantum Cosmology · Physics 2010-02-25 Vitorio A. De Lorenci

We prove the existence of a general class of rapidly turning two-field inflationary attractors. By only requiring a large, slowly varying turn rate, we solve the system completely without specifying any metric or potential, and prove the…

High Energy Physics - Theory · Physics 2019-07-03 Theodor Bjorkmo

Under the assumption that cold dark matter and dark energy interact with each other through a small coupling term, $Q$, we constrain the parameter space of the equation of state $w$ of those dark energy fields whose variation of the field…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 German Izquierdo , Diego Pavon

We investigate a hierarchy of interacting dark energy (IDE) models featuring a non-gravitational coupling between dark matter and dark energy. Specifically, we examine scenarios where the background interaction kernel, $Q = 3H(\delta + \eta…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-21 Mikel Artola , Ruth Lazkoz , Vincenzo Salzano

We study the question of global attraction, in the energy norm, for finite energy solutions to classical particle coupled to a scalar wave field. The attraction could take place to either the set of the stationary solutions in the case of a…

Mathematical Physics · Physics 2026-05-25 Valeriy Imaykin

Non-gravitational interaction between two barotropic dark fluids, namely the pressureless dust and the dark energy in a spatially flat Friedmann-Lema\^{i}tre-Robertson-Walker model has been discussed. It is shown that for the interactions…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-30 Supriya Pan , Ankan Mukherjee , Narayan Banerjee

We suggest one of the possible ways to compensate the large negative quantum-topological QCD contribution to the vacuum energy density of the Universe by means of a positive constant contribution from a cosmological Yang-Mills field. An…

General Relativity and Quantum Cosmology · Physics 2013-07-18 Roman Pasechnik , Vitaly Beylin , Grigory Vereshkov

Gravitational interactions of higher spin fields are generically plagued by inconsistencies. We present a simple framework that couples higher spins to a broad class of gravitational backgrounds (including Ricci flat and Einstein)…

High Energy Physics - Theory · Physics 2008-11-26 A. R. Gover , K. Hallowell , A. Waldron

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

The solutions of the Bogomolny equation in anti-de Sitter space-time are obtained by using Darboux transformations with both constant spectral parameters and variable "spectral parameters". These solutions give the Yang-Mills-Higgs fields…

Exactly Solvable and Integrable Systems · Physics 2009-10-31 Zixiang Zhou

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