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We calculate analytically the past asymptotic decay rates close to an initial singularity in general G_0 spatially inhomogeneous perfect fluid models with an effective equation of state which is stiff or ultra-stiff (i.e., $\gamma \ge 2$).…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. A. Coley , W. C. Lim

In this paper, $F(\nu)$ cosmology is proposed for the accelerating universe with asymptotic de Sitter expansion in terms of Hankel function index $\nu$. To some extent, both the initial expansion during early inflation and the current…

General Relativity and Quantum Cosmology · Physics 2024-02-02 K. Suratgar , M. Mohsenzadeh , E. Yusofi , F. Taghizadeh-Farahmand

We examine a spherically-symmetric class of spacetimes carrying vacuum energy, while considering the influence of an external dark energy environment represented by a non-dynamical quintessence field. Our investigation focuses on a specific…

General Relativity and Quantum Cosmology · Physics 2024-05-06 Roberto Giambò , Orlando Luongo

A spatially homogeneous and locally rotationally symmetric Bianchi type-II cosmological model under the influence of both shear and bulk viscosity has been studied. Exact solutions are obtained with a barotropic equation of state between…

General Relativity and Quantum Cosmology · Physics 2021-05-11 A. Banerjee , S. B. Duttachoudhury , Abhik Kumar Sanyal

We study the consequences of a homogeneous dark energy fluid having a non-vanishing velocity with respect to the matter and radiation large-scale rest frames. We consider homogeneous anisotropic cosmological models with four fluids…

Astrophysics · Physics 2008-11-26 Jose Beltran Jimenez , Antonio L. Maroto

One of the most compelling goals of observational cosmology is the characterisation of the properties of the dark energy component thought to be responsible for the recent acceleration of the universe, including its possible dynamics. In…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-08 C. J. A. P. Martins , M. Prat Colomer

We consider an isothermal compressible fluid evolving on a cosmological background which may be either expanding or contracting toward the future. The Euler equations governing such a flow consist of two nonlinear hyperbolic balance laws…

Analysis of PDEs · Mathematics 2022-10-12 Yangyang Cao , Mohammad A. Ghazizadeh , Philippe G. LeFloch

We explore the idea that cosmic acceleration may be a byproduct of late-time effects like structure formation in two steps. First, we consider the equation of state for an inhomogeneous cosmic fluid, which may lead to a Gedanken-model for…

General Relativity and Quantum Cosmology · Physics 2025-04-11 A. Kazım Çamlıbel

A recently proposed nonlinear transport equation is used to model bulk viscous cosmologies that may be far from equilibrium, as happens during viscous fluid inflation or during reheating. The asymptotic stability of the de Sitter and…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L Chimento , A Jakubi , V Mendez , R Maartens

D-dimensional cosmological model describing the evolution of a perfect fluid with negative pressure (x-fluid) and a fluid possessing both shear and bulk viscosity in n Ricci-flat spaces is investigated. The second equations of state are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. R. Gavrilov , V. N. Melnikov

We investigate relativistic spherically symmetric static perfect fluid models in the framework of the theory of dynamical systems. The field equations are recast into a regular dynamical system on a 3-dimensional compact state space,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 J. Mark Heinzle , N. Rohr , C. Uggla

In this work, we study two scenarios of the Universe filled by a perfect fluid following the traditional dark energy and a viscous fluid as dark matter. In this sense, we explore the simplest case for the viscosity in the Eckart formalism,…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-22 L. Herrera-Zamorano , A. Hernández-Almada , Miguel A. García-Aspeitia

In this paper we investigate asymptotic isotropization. We derive the asymptotic dynamics of spatially inhomogeneous cosmological models with a perfect fluid matter source and a positive cosmological constant near the de Sitter equilibrium…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Woei Chet Lim , Henk van Elst , Claes Uggla , John Wainwright

We study the dynamics near finite-time singularities of flat isotropic universes filled with two interacting but otherwise arbitrary perfect fluids. The overall dynamical picture reveals a variety of asymptotic solutions valid locally…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Spiros Cotsakis , Georgia Kittou

Assuming a flat Friedmann-Robertson-Walker cosmology with a single perfect fluid, we propose a pressure-density ratio that evolves as a specific universal function of the scale parameter. We show that such a ratio can indeed be consistent…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Golam Mortuza Hossain , Parthasarathi Majumdar

In this paper we present a generic form of the cosmological Equation of State derived from the formalism of Statistical Mechanics, assuming that a cosmic acceleration scenario can be interpreted as a system of quasi-particles. By…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Elías Castellanos , Celia Escamilla-Rivera

We consider a double polytropic cosmological fluid and demonstrate that, when one constituent resembles a bare cosmological constant while the other emulates a generalized Chaplygin gas, a good description of the Universe's large-scale…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Peter K. S. Dunsby , Orlando Luongo , Marco Muccino , Vineshree Pillay

We consider scalar-vector-tensor (SVT) theories with second-order equations of motion and tensor propagation speed equivalent to the speed of light. Under the sub-horizon and the quasi-static approximations we find analytical formulae for…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-30 Wilmar Cardona , J. Bayron Orjuela-Quintana , César A. Valenzuela-Toledo

Multidimensional cosmological model describing the evolution of a fluid with shear and bulk viscosity in $n$ Ricci-flat spaces is investigated. The barotropic equation of state for the density and the pressure in each space is assumed. The…

General Relativity and Quantum Cosmology · Physics 2010-04-30 V. R. Gavrilov , V. N. Melnikov , Roland Triay

We present a dark fluid model which contains the general linear equation of state including the gravitation term. The obtained spherical symmetric Euler equation and the continuity equation was investigated with the Sedov-type…

General Relativity and Quantum Cosmology · Physics 2022-09-08 Imre F. Barna , Mihály A. Pocsai , Gergely Gábor Barnaföldi