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There are investigated such cosmological models which instead of the usual spatial homogeneity property only fulfil the condition that in a certain synchronized system of reference all spacelike sections t = const. are homogeneous…

广义相对论与量子宇宙学 · 物理学 2008-11-26 H. -J. Schmidt

We consider a spatially homogeneous Kolmogorov-Vicsek model in two dimensions, which describes the alignment dynamics of self-driven stochastic particles that move on the plane at a constant speed, under space-homogeneity. In \cite{F-K-M},…

偏微分方程分析 · 数学 2016-08-02 Moon-Jin Kang , Javier Morales

The Standard Cosmological Model assumes that the Universe is, on average, homogeneous and isotropic for large scales (z>1), but this principle has been questioned from the results about Cosmic Microwave Background. This radiation has…

综合物理 · 物理学 2016-04-19 Ericsson López , Mario Llerena , Franklin Aldás

We construct an approximate solution to the cosmological perturbation theory around Einstein-de Sitter background up to the fourth-order perturbations. This could be done with the help of the specific symmetry condition imposed on the…

广义相对论与量子宇宙学 · 物理学 2021-03-17 Szymon Sikora , Krzysztof Głód

This study belongs to a series devoted to using Szekeres inhomogeneous models to develop a theoretical framework where observations can be investigated with a wider range of possible interpretations. We look here into the growth of…

宇宙学与河外天体物理 · 物理学 2013-05-30 Mustapha Ishak , Austin Peel

The Szekeres family of inhomogeneous solutions, which are defined by six arbitrary metric functions, offers a wide range of possibilities for modelling cosmic structure. Here we present a model construction procedure for the quasispherical…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Anthony Walters , Charles Hellaby

A new method for constructing exact inhomogeneous universes is presented, that allows variation in 3 dimensions. The resulting spacetime may be statistically uniform on average, or have random, non-repeating variation. The construction…

广义相对论与量子宇宙学 · 物理学 2012-03-19 Charles Hellaby

We study the behaviour of the density contrast in quasi-spherical Szekeres spacetime and derive its analytical behaviour as a function of $t$ and $r$. We set up the inhomogeneity using initial data in the form of one extreme value of the…

广义相对论与量子宇宙学 · 物理学 2014-12-24 David Vrba , Otakar Svitek

This paper investigates evolution of cosmic structures in different environments. For this purpose the quasispherical Szekeres model is employed. The Szekeres model is an exact solution of the Einstein field equations within which it is…

天体物理学 · 物理学 2013-05-29 Krzysztof Bolejko

In this paper, we have searched the existence of the similarity solution for plane symmetric inhomogeneous cosmological models in general relativity. The matter source consists of perfect fluid with proportionality relation between…

广义相对论与量子宇宙学 · 物理学 2014-07-14 Ahmad T. Ali , Anil Kumar Yadav

We constructed a simple cosmological model which approximates the Einstein-de Sitter background with periodically distributed dust inhomogeneities. By taking the metric as a power series up to the third order in some perturbative parameter…

广义相对论与量子宇宙学 · 物理学 2019-05-01 Szymon Sikora , Krzysztof Głód

Horndeski models with a de Sitter critical point for any kind of material content may provide a mechanism to alleviate the cosmological constant problem. We study the cosmological evolution of two classes of families - the linear models and…

广义相对论与量子宇宙学 · 物理学 2015-11-03 Nelson J. Nunes , Prado Martin-Moruno , Francisco S. N. Lobo

The exact Friedman solution to the field equations of General Relativity (GR) describing a homogeneous and isotropic universe together with its linear and higher-order perturbations are the theoretical roots of the current standard model of…

广义相对论与量子宇宙学 · 物理学 2024-12-20 Marie-Noëlle Célérier

In this manuscript we investigate the intrinsically flat (space-flat) spacetimes as viable cosmological models. We show that they have a natural geometric structure which is suitable to describe inhomogeneous matter distributions forming a…

广义相对论与量子宇宙学 · 物理学 2026-02-25 Eduardo Bittencourt , Leandro G. Gomes , Grasiele B. Santos

Using simple algebraic methods along with an analogy to the BFSS model, we explore the possible (target) spacetime symmetries that may appear in a matrix description of de Sitter gravity. Such symmetry groups could arise in two ways, one…

高能物理 - 理论 · 物理学 2016-09-06 Yi-hong Gao

The two-point correlation function for the dust distribution in the unperturbed Einstein-de Sitter cosmological model is studied along the past light cone. It was found that this function seems unable to represent the theoretical…

天体物理学 · 物理学 2009-10-31 Marcelo B. Ribeiro

Dark energy is now one of the most important and topical problems in cosmology. The first step to reveal its nature is to detect the evolution of dark energy or to prove beyond doubt that the cosmological constant is indeed constant.…

宇宙学与河外天体物理 · 物理学 2011-01-21 Krzysztof Bolejko

This paper studies the spatially homogeneous Einstein-de Sitter cosmological model in the context of a relativistic hierarchical (fractal) cosmology as developed in paper I (0807.0866). The Einstein-de Sitter model is treated as a special…

天体物理学 · 物理学 2011-02-11 Marcelo B. Ribeiro

Most cosmological models studied today are based on the assumption of homogeneity and isotropy. Observationally one can find evidence that supports these assumptions on very large scales, the strongest being the almost isotropy of the…

天体物理学 · 物理学 2007-05-23 Christian Sicka , Thomas Buchert , Martin Kerscher

Flat cosmological models with a cosmological constant on the order of the Einstein-de Sitter critical density are enigmatic in the sense that there does not appear to be any natural explanation for why there should be a cosmological…

天体物理学 · 物理学 2007-05-23 George Chapline