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Motivated by the recent observations for the cosmic acceleration and the suitable evolution of the Universe provided an interaction (decay of dark energy to matter) is incorporated in a cosmological model, we study the cosmological…

High Energy Physics - Theory · Physics 2009-03-24 M. R. Setare , Elias C. Vagenas

We explore an autonomous system analysis of dark energy models with interactions between dark energy and cold dark matter in a general systematic approach to cosmological fluids. We investigate two types of models such as local and…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Parth Shah , Gauranga C. Samanta , Kazuharu Bamba , R. Myrzakulov

We investigate a class of interacting dark energy and dark matter (DM) models, where dark energy is modeled as a $k$-essence scalar field with an inverse-square potential. Two general forms of interaction are considered: one proportional to…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Saddam Hussain , Qiang Wu , Tao Zhu

We investigate the impacts of interaction between dark matter and dark energy in the context of two dark energy models, holographic and ghost dark energy. In fact, using the dynamical system analysis, we obtain the cosmological consequence…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Hanif Golchin , Sara Jamali , Esmaeil Ebrahimi

We consider a set of non-linear interactions between dark matter and dark energy which comprises couplings proportional to products of (powers of) the energy densities of both dark components and of the total energy. We demonstrate that…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Fabiola Arévalo , Anna Paula Ramos Bacalhau , Winfried Zimdahl

We consider scalar field models of dark energy interacting with dark matter through a coupling proportional to the contraction of the four-derivative of the scalar field with the four-velocity of the dark matter fluid. The coupling is…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Jibitesh Dutta , Wompherdeiki Khyllep , Nicola Tamanini

In this study, we analyze the dynamics of the interaction between dark matter and curvature-driven dark energy in viable $f(R)$ gravity models using the framework of dynamical system analysis. We incorporate this interaction by introducing…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Anirban Chatterjee , Rahul Roy , Sayantan Dey , Abhijit Bandyopadhyay

Our work deals with the dynamical system analysis of quintessence dark energy scalar field model with exponential potential. A dynamical system analysis has been applied at the background level. Using suitable transformation of variables,…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Soumya Chakraborty , Sudip Mishra , Subenoy Chakraborty

A model for a flat homogeneous and isotropic Universe composed of dark energy, dark matter, neutrinos, radiation and baryons is analyzed. The fields of dark matter and neutrinos are supposed to interact with the dark energy. The dark energy…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. M. Kremer

In this paper, we test the dark matter-dark energy interacting cosmological model with a dynamic equation of state $w_{DE}(z)=w_{0}+w_{1}z/(1+z)$, using type Ia supernovae (SNe Ia), Hubble parameter data, baryonic acoustic oscillation (BAO)…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-16 J. S. Wang , F. Y. Wang

We examine an interacting dark matter--variable vacuum energy model for a spatially flat Friedmann-Roberston-Walker spacetime, focusing on the appearance of cosmological singularities such as \emph{big rip, big brake, big freeze}, and…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Luis P. Chimento , Martín G. Richarte

We have studied homogeneous isotropic FRW model having dynamical dark energy DBI-essence with scalar field. The existence of cosmological scaling solutions restricts the Lagrangian of the scalar field $\phi$. Choosing $p=X g(X e^{\lambda…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Jhumpa Bhadra , Ujjal Debnath

We investigate a universe filled with interacting dark matter, holographic dark energy, and dark radiation for the spatially flat Friedmann-Robertson-Walker (FRW) spacetime. We use a linear interaction to reconstruct all the component…

General Relativity and Quantum Cosmology · Physics 2013-04-12 Luis P. Chimento , Martín G. Richarte

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

Models where Dark Matter and Dark Energy interact with each other have been proposed to solve the coincidence problem. We review the motivations underlying the need to introduce such interaction, its influence on the background dynamics and…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-24 B. Wang , E. Abdalla , F. Atrio-Barandela , D. Pavon

In a flat Friedmann-Lema\^itre-Robertson-Walker background, a scheme of dark matter-dark energy interaction is studied considering a holographic Ricci-like model for the dark energy. Without giving a priori some specific model for the…

General Relativity and Quantum Cosmology · Physics 2014-07-04 F. Arevalo , P. Cifuentes , S. Lepe , F. Peña

In this work we consider the evolution of the interactive dark fluids in the background of homogeneous and isotropic FRW model of the universe. The dark fluids consist of a warm dark matter and a dark energy and both are described as…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Supriya Pan , Subenoy Chakraborty

We discuss dynamics of a model of an energy transfer between dark energy (DE) and dark matter (DM). The energy transfer is determined by a non-conservation law resulting from a diffusion of dark matter in an environment of dark energy. The…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Zbigniew Haba , Aleksander Stachowski , Marek Szydlowski

We study the dynamics of homogeneous and isotropic Friedmann-Lema\^itre-Robertson-Walker cosmological models with positive spatial curvature within the context of mimetic gravity theory by employing dynamical system techniques. Our analysis…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Alberto Fritis , Daniel Villalobos-Silva , Yerko Vásquez , Carlos H. López-Caraballo , Juan Carlos Helo

The dynamics of interacting dark matter-dark energy models is characterized through an interaction rate function quantifying the energy flow between these dark sectors. In most of the interaction functions, the expansion rate Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2021-05-05 Weiqiang Yang , Supriya Pan , Llibert Aresté Saló , Jaume de Haro