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Recent analyses from the DESI collaboration suggest that the dark energy density of the Universe may be decreasing with time, slowing the acceleration of the scale factor $a$. Typically these studies are performed assuming an ansatz for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-17 James M. Cline , Varun Muralidharan

In cubic-order Horndeski theories where a scalar field $\phi$ is coupled to nonrelativistic matter with a field-dependent coupling $Q(\phi)$, we derive the most general Lagrangian having scaling solutions on the isotropic and homogenous…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Noemi Frusciante , Ryotaro Kase , Nelson J. Nunes , Shinji Tsujikawa

We present a nonparametric method to determine the sign of $w+1$ in the equation of state of dark energy. It is based on geometrical behaviour and is more tolerant to uncertainties of other cosmological parameters than fitting methods. It…

Astrophysics · Physics 2007-05-23 Houri Ziaeepour

We review a system of autonomous differential equations developed in our previous work [1] describing a flat cosmology filled with a barotropic fluid and a scalar field with a modified kinetic term of the form L=F(X)-V(phi). We analyze the…

General Relativity and Quantum Cosmology · Physics 2014-04-04 Josue De-Santiago , Jorge L. Cervantes-Cota

We propose a new Dark Energy parametrization based on the dynamics of a scalar field. We use an equation of state $w=(x-1)/(x+1)$, with $x=E_k/V$, the ratio of kinetic energy $E_k=\dot\phi^2/2$ and potential $V$. The eq. of motion gives…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-09 Axel de la Macorra

In a recent work Zhang, Li and Noh [Phys. Lett. B {\bf 694}, 177 (2010)]proposed a model for dark energy assuming this component strictly obeys the holographic principle. They performed a dynamical system analysis, finding a scaling…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-03 Víctor H. Cárdenas , J. R. Villanueva , Juan Magaña

We study the long-time behaviour of solutions to quasilinear doubly degenerate parabolic problems of fourth order. The equations model for instance the dynamic behaviour of a non-Newtonian thin-film flow on a flat impermeable bottom and…

Analysis of PDEs · Mathematics 2022-04-19 Jonas Jansen , Christina Lienstromberg , Katerina Nik

We first study dark energy models with a minimally-coupled scalar field and exponential potentials, admitting exact solutions for the cosmological equations: actually, it turns out that for this class of potentials the Einstein field…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Ester Piedipalumbo , Paolo Scudellaro , Giampiero Esposito , Claudio Rubano

We investigate the cosmological dynamics of interacting dark energy models in which the interaction function is a nonlinear in terms of the energy densities. Considering explicitly the interaction between a pressureless dark matter and a…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Andronikos Paliathanasis , Supriya Pan , Weiqiang Yang

A Lagrangian relativistic approach to the non--linear dynamics of cosmological perturbations of an irrotational collisionless fluid is considered. Solutions are given at second order in perturbation theory for the relevant fluid and…

Astrophysics · Physics 2015-06-24 S. Matarrese , O. Pantano , D. Saez

We investigate phantom models with power-law potentials and we extract the early-time, "tracker", solutions under the assumption of matter domination. Contrary to quintessence case, we find that energy positivity requires normal power-law…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emmanuel N. Saridakis

It is a known fact that a quintessence model with $w_q < -1$ fits the publicly available Super Nova (SN) type Ia data better than a model with cosmological constant or $w_q > -1$. Two types of models have this property: Scalar fields with…

Astrophysics · Physics 2007-05-23 Houri Ziaeepour

We carry out a comprehensive study of the dynamics of large-scale perturbations in quintessence scenarios. We model the contents of the Universe by a perfect fluid with equation of state w_f and a scalar field Q with potential V(Q). We are…

Astrophysics · Physics 2009-11-07 Michael Malquarti , Andrew R. Liddle

Quintessence models leading to a constant equation of state are studied in hyperbolic universes. General properties of the quintessence potentials V(phi) are discussed, and for some special cases also the exact analytic expressions for…

Astrophysics · Physics 2009-11-07 R. Aurich , F. Steiner

In this paper we show that a \emph{one-to-one} correspondence exists between any dark energy model and an equivalent (from a cosmological point of view, in the absence of perturbations) quartessence model in which dark matter and dark…

Astrophysics · Physics 2009-11-11 L. M. G. Beca , P. P. Avelino

We have calculated constraints on the evolution of the equation of state of the dark energy, w(z), from a joint analysis of data from the cosmic microwave background, large scale structure and type-Ia supernovae. In order to probe the…

Astrophysics · Physics 2009-11-10 Steen Hannestad , Edvard Mortsell

It is described dynamics of a large class of accelerating cosmological models in terms of dynamical systems of the Newtonian type. The evolution of the models is reduced to the motion of a particle in a potential well parameterized by the…

Astrophysics · Physics 2017-09-29 Marek Szydlowski , Aleksandra Kurek

The cosmological model consisting of a nonlinear magnetic field obeying the Lagrangian L= \gamma F^{\alpha}, F being the electromagnetic invariant, coupled to a Robertson-Walker geometry is tested with observational data of Type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-12 Ariadna Montiel , Nora Bretón , Vincenzo Salzano

We develop a cosmological model based on action-dependent Lagrangian theories. The main feature here is the nonconservation of the energy momentum tensor due to the nontrivial geometrical construction of the theory. We provide the basic set…

General Relativity and Quantum Cosmology · Physics 2018-11-05 Thiago R. P. Caramês , H. Velten , J. C. Fabris , Matheus J. Lazo

We investigate in detail the qualitative behaviour of the class of Bianchi type B spatially homogeneous cosmological models in which the matter content is composed of two non-interacting components; the first component is described by a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. P. Billyard , A. A. Coley , R. J. van den Hoogen , J. Ibanez , I. Olasagasti