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In this paper we investigate the constant volume exponential solutions (i.e. the solutions with the scale factors change exponentially over time so that the comoving volume remains the same) in the Einstein-Gauss-Bonnet gravity. We find…

广义相对论与量子宇宙学 · 物理学 2014-12-17 Dmitry Chirkov , Sergey A. Pavluchenko , Alexey Toporensky

This paper deals with the evolution of the Einstein gravitational fields which are coupled to a perfect fluid. We consider the Einstein--Euler system in asymptotically flat spacestimes and therefore use the condition that the energy density…

偏微分方程分析 · 数学 2013-05-10 Uwe Brauer , Lavi Karp

The solution of the dark energy problem in models without scalars is presented. It is shown that a late-time accelerating cosmology may be generated by an ideal fluid with some implicit equation of state.

高能物理 - 理论 · 物理学 2007-05-23 O. Gorbunova

A new type of fluid matter model in general relativity is introduced, in which the fluid particles are subject to velocity diffusion without friction. In order to compensate for the energy gained by the fluid particles due to diffusion, a…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Simone Calogero

We investigate spherically symmetric cosmological models in Einstein-aether theory with a tilted (non-comoving) perfect fluid source. We use a 1+3 frame formalism and adopt the comoving aether gauge to derive the evolution equations, which…

广义相对论与量子宇宙学 · 物理学 2015-12-08 Alan A. Coley , Genly Leon , Patrik Sandin , Joey Latta

A range of cosmological observations demonstrate an accelerated expansion of the Universe, and the most likely explanation of this phenomenon is a cosmological constant. Given the importance of understanding the underlying physics, it is…

宇宙学与河外天体物理 · 物理学 2021-04-07 Karoline Loeve , Kristine Simone Nielsen , Steen H. Hansen

We study the well-posedness and the spatial behavior at infinity of perfect fluid flows on $\R^d$ with initial data in a scale of weighted Sobolev spaces that allow spatial growth/decay at infinity as $|x|^\beta$ with $\beta<1/2$. In…

偏微分方程分析 · 数学 2021-02-11 Robert McOwen , Peter Topalov

Among various phenomenological $\Lambda$ models, a time-dependent model $\dot \Lambda\sim H^3$ is selected here to investigate the $\Lambda$-CDM cosmology. Using this model the expressions for the time-dependent equation of state parameter…

广义相对论与量子宇宙学 · 物理学 2011-01-25 Saibal Ray , Maxim Khlopov , Utpal Mukhopadhyay , Partha Pratim Ghosh

In this work, we obtained exact solutions of Einstein's field equations for plane symmetric cosmological models by assuming that thy admit conformal motion. The space-time geometry of these solutions is found to be nonsingular, non-vacuum…

广义相对论与量子宇宙学 · 物理学 2025-01-07 Ragab M. Gad , Awatif Al-Jedani , Shahad T. Alsulami

We consider scalar tensor theories of gravity assuming that the scalar field is non minimally coupled with gravity. We use this theory to study evolution of a flat homogeneous and isotropic universe. In this case the dynamical equations can…

天体物理学 · 物理学 2012-07-13 M. Demianski , E. Piedipalumbo , C. Rubano , C. Tortora

A new approach for arbitrary dimension to the Friedmann cosmological models is presented. Taking suitable changes of the parameters of the spacetime the harmonic motion equations appear, where the curvature determines the angular frequency.…

广义相对论与量子宇宙学 · 物理学 2014-03-03 Rafael M. Rubio , Juan J. Salamanca

The spacetime structure of the spatially uniformly expanding universe is described in terms of a kind of global space and global time instead of the space and time we usually recognize. The global space at some instant is a space in which…

天体物理学 · 物理学 2022-08-31 Yoshio Kubo

To systematically analyze the dynamical implications of the matter content in cosmology, we generalize earlier dynamical systems approaches so that perfect fluids with a general barotropic equation of state can be treated. We focus on…

广义相对论与量子宇宙学 · 物理学 2009-11-10 J. Mark Heinzle , N. Rohr , C. Uggla

We examine static perfect fluid spheres in the presence of a cosmological constant. New exact matter solutions are discussed which require the Nariai metric in the vacuum region. We generalize the Einstein static universe such that neither…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christian G. Boehmer , Gyula Fodor

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…

综合物理 · 物理学 2018-10-18 Gregory Ryskin

We present two classes of inhomogeneous, spherically symmetric solutions of the Einstein-Maxwell-Perfect Fluid field equations with cosmological constant generalizing the Vaidya-Shah solution. Some special limits of our solution reduce to…

广义相对论与量子宇宙学 · 物理学 2019-10-09 Metin Gurses , Yaghoub Heydarzade

In order to try explaining the present accelerated expansion of the universe, we consider the most complete noncommutativity, of a certain type, in a Friedmann-Robertson-Walker cosmological model, coupled to a perfect fluid. We use the ADM…

广义相对论与量子宇宙学 · 物理学 2021-06-23 G. Oliveira-Neto , L. Fazza Marcon

We study the scalar curvature of spacelike hypersurfaces in the family of cosmological models known as generalized Robertson-Walker spacetimes, and give several rigidity results under appropriate mathematical and physical assumptions. On…

广义相对论与量子宇宙学 · 物理学 2016-03-23 Juan A. Aledo , Rafael M. Rubio

The global existence of smooth solutions to the vacuum free boundary problem with physical singularity of compressible Euler equations with damping and gravity is proved in space dimensions $n=1, 2, 3$, for the initial data being small…

偏微分方程分析 · 数学 2021-10-29 Huihui Zeng

We study the Einstein-Vlasov system coupled to a nonlinear scalar field with a nonnegative potential in locally spatially homogeneous spacetime, as an expanding cosmological model. It is shown that solutions of this system exist globally in…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Hayoung Lee