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Dynamical system techniques are extremely useful to study cosmology. It turns out that in most of the cases, we deal with finite isolated fixed points corresponding to a given cosmological epoch. However, it is equally important to analyse…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Mariam Bouhmadi-López , João Marto , João Morais , César M. Silva

We investigate the cosmological dynamics of interacting dark energy within the framework of $\alpha$-attractor models. Specifically, we analyze the associated autonomous system, focusing on its fixed points that represent dark energy and…

General Relativity and Quantum Cosmology · Physics 2025-12-04 L. K. Duchaniya , B. Mishra , G. Otalora , M. Gonzalez-Espinoza

Using the complex-valued self-dual connection variables, the loop quantum cosmology of a closed Friedmann universe coupled to a massless scalar field is studied. It is shown how the reality conditions can be imposed in the quantum theory by…

General Relativity and Quantum Cosmology · Physics 2016-04-07 Edward Wilson-Ewing

We revisit the dark degeneracy that arises from the Einstein equations relating geometry to the total cosmic substratum but not resolving its individual components separately. We establish the explicit conditions for the dark degeneracy in…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-17 Rodrigo von Marttens , Lucas Lombriser , Martin Kunz , Valerio Marra , Luciano Casarini , Jailson Alcaniz

The effects of dynamic localization in a solid-state system -- a quantum dot -- are considered. The theory of weak dynamic localization is developed for non-interacting electrons in a closed quantum dot under arbitrary time-dependent…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. E. Kravtsov

We study numerically the dynamical system of a two-electron atom with the Darwin interaction as a model to investigate scale-dependent effects of the relativistic action-at-a-distance electrodynamics. This dynamical system consists of a…

Chaotic Dynamics · Physics 2007-05-23 Jayme De Luca

We investigate a spatially flat Friedmann-Robertson-Walker (FRW) scenario with two interacting components, dark matter and variable vacuum energy (VVE) densities, plus two decoupled components, one is a baryon term while the other behaves…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Iván E. Sánchez G

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

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

How would negative energy density affect a classic Friedmann cosmology? Although never measured and possibly unphysical, certain realizations of quantum field theories leaves the door open for such a possibility. In this paper we analyze…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Robert J. Nemiroff , Ravi Joshi , Bijunath R. Patla

We consider the fate of future singularities in the effective dynamics of loop quantum cosmology. Non-perturbative quantum geometric effects which lead to $\rho^2$ modification of the Friedmann equation at high energies result in generic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Sami , Parampreet Singh , Shinji Tsujikawa

We explore the interaction between dark matter and curvature-driven dark energy within viable $f(R)$ gravity models, employing the phase-space analysis approach of linear stability theory. By incorporating an interacting term, denoted as…

General Relativity and Quantum Cosmology · Physics 2024-04-04 Anirban Chatterjee

The early cosmic inflation, when taken along with the recent observations that the universe is currently dominated by a low density vacuum energy, leads to at least two potential problems which modern cosmology must address. First, there is…

Astrophysics · Physics 2009-11-07 Manasse R. Mbonye

We explore the physics of a gas of particles interacting with a condensate that spontaneously breaks Lorentz invariance. The equation of state of this gas varies from 1/3 to less than -1 and can lead to the observed cosmic acceleration. The…

Astrophysics · Physics 2009-11-10 Simon DeDeo

In this study, we analyze the ghost dark energy model in Brans-Dicke cosmology in the framework of a flat Friedmann-Lemaitre-Robertson-Walker universe. We consider an interaction between ghost dark energy and dark matter with a…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Kirti Mehta , Pankaj Kumar , N. Myrzakulov , S. H. Shekh

We propose a time-varying cosmological constant with a fixed equation of state, which evolves mainly through its interaction with the background during most of the long history of the universe. However, such interaction does not exist in…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-18 Murli Manohar Verma

Dark energy in the universe is assumed to be vacuum energy. The energy-momentum of vacuum is described by a scale-dependent cosmological constant. The equations of motion imply for the density of matter (dust) the sum of the usual matter…

General Physics · Physics 2008-11-09 Walter Petry

We consider a self-consistent and physical approach to interacting dark energy models described by a Lagrangian, and identify a new class of models with variable dark energy sound speed. We show that if the interaction between dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-18 Mark S. Linton , Alkistis Pourtsidou , Robert Crittenden , Roy Maartens

In this paper we have considered an interacting model of dark energy and have looked into the evolution of the dark sectors. By solving the perturbation equations numerically, we have studied the imprints on the growth of matter as well as…

General Relativity and Quantum Cosmology · Physics 2024-05-30 Srijita Sinha , Manisha Banerjee , Sudipta Das

In this work we study the evolution of a spatially flat Universe by considering a viscous dark matter and perfect fluids for dark energy and radiation, including an interaction term between dark matter and dark energy. In the first part, we…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-18 A. Hernández-Almada , Miguel A. García-Aspeitia , Juan Magaña , V. Motta
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