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Dark matter and dark energy are essential in the description of the late Universe, since at least the epoch of equality. On the other hand, the inflation is also necessary and demands a "dark" component, usually associated to a scalar field…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-08 Jorge L. Cervantes-Cota , Alejandro Aviles , Josue De-Santiago

We study noncommutative classical Friedmann-Robertson-Walker cosmological models. The constant curvature of the spatial sections can be positive ($k=1$), negative ($k=-1$) or zero ($k=0$). The matter is represented by a perfect fluid with…

General Relativity and Quantum Cosmology · Physics 2017-01-06 G. Oliveira-Neto , A. R. Vaz

We note that in general there exist two basic aspects in any branch of physics, including cosmology - one dealing with the attributes of basic constituents and forces of nature, the other dealing with how structures arise from them and how…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu

Cosmology of self-interacting three-forms is investigated. The minimally coupled canonical theory can naturally generate a variety of isotropic background dynamics, including scaling, possibly transient acceleration and phantom crossing. An…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Tomi S. Koivisto , Nelson J. Nunes

The dynamical systems found in Nature are rarely isolated. Instead they interact and influence each other. The coupling functions that connect them contain detailed information about the functional mechanisms underlying the interactions and…

Adaptation and Self-Organizing Systems · Physics 2017-11-15 Tomislav Stankovski , Tiago Pereira , Peter V. E. McClintock , Aneta Stefanovska

Closed, spatially homogeneous cosmological models with a perfect fluid and a scalar field with exponential potential are investigated, using dynamical systems methods. First, we consider the closed Friedmann-Robertson-Walker models,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Alan Coley , Martin Goliath

We consider a dynamical systems formulation for models with an exponential scalar field and matter with a linear equation of state in a spatially flat and isotropic spacetime. In contrast to earlier work, which only considered linear…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Artur Alho , Woei Chet Lim , Claes Uggla

We test the viability of a single fluid cosmological model containing a transition from a dark-matter-like regime to a dark-energy-like regime. The fluid is a k-essence scalar field with a well-defined Lagrangian. We constrain its model…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-18 Iker Leanizbarrutia , Alberto Rozas-Fernández , Ismael Tereno

A cosmological model of dark energy interacting with dark matter and another general component of the universe is considered. The evolution equations for coincidence parameters r and s, which represent the ratios between the dark energy and…

General Relativity and Quantum Cosmology · Physics 2009-10-08 Norman Cruz , Samuel Lepe , Francisco Pena

On the basis of the relativistic kinetic theory the mathematical model of cosmological plasmas with an attraction of the like charged scalar particles is formulated. It is shown, that cosmological the model, based on a classical scalar…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yu. G. Ignat'ev

In this paper we put forward a running coupling scenario for describing the interaction between dark energy and dark matter. The dark sector interaction in our scenario is free of the assumption that the interaction term $Q$ is proportional…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Yun-He Li , Xin Zhang

We apply dynamical systems techniques to investigate cosmological models inspired in scalar-tensor theories written in the Einstein frame. We prove that if the potential and the coupling function are sufficiently smooth functions, the…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Genly Leon

Dynamical dark energy (DE) has been proposed to explain various aspects of the cosmological constant (CC) problem(s). For example, it is very difficult to accept that a strictly constant Lambda-term constitutes the ultimate explanation for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Javier Grande , Joan Sola , Hrvoje Stefancic

A survey of linearized cosmological fluid equations with a number of different matter components is made. To begin with, the one-component case is reconsidered to illustrate some important mathematical and physical points rarely discussed…

Astrophysics · Physics 2009-11-11 R. M. Gailis , N. E. Frankel

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 cosmological model in which dark energy, represented by a quintessential scalar field, is coupled to a dark-matter perfect fluid in the spatially flat Friedmann-Robertson-Walker Universe. This allows an energy exchange in…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Yousef Bisabr

The stability criteria for spatially flat homogeneous and isotropic cosmological dynamical system is investigated with the interaction of a scalar field endowed with a perfect fluid.In this paper, we depict the dynamical system perspective…

General Relativity and Quantum Cosmology · Physics 2021-01-25 S. Surendra Singh , Chingtham Sonia

Solutions to flat space Friedmann-Robertson-Walker cosmologies in Brans-Dicke theory with a cosmological constant are investigated. The matter is modelled as a $\gamma$-law perfect fluid. The field equations are reduced from fourth order to…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Shawn J. Kolitch

The theory of the dynamical systems is a very complex subject which has brought several surprises in the recent past in connection with the theory of chaos and fractals. The application of the tools of the dynamical systems in cosmological…

General Relativity and Quantum Cosmology · Physics 2015-01-21 Ricardo García-Salcedo , Tame Gonzalez , Francisco A. Horta-Rangel , Israel Quiros , Daniel Sanchez-Guzmán

In cosmology based on general relativity, the universe is modeled as a fluid. The transition from the Einstein field equation to its large-scale (cosmological) version is thus analogous to the transition, for a system consisting of a large…

General Physics · Physics 2018-10-18 Gregory Ryskin