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This paper presents the cosmological applications of the quasispherical Szekeres model. The quasispherical Szekeres model is an exact solution of the Einstein field equations, which represents a time-dependent mass dipole superposed on a…

天体物理学 · 物理学 2007-05-23 Krzysztof Bolejko

We investigate the late time acceleration with a Chaplygin type of gas in spherically symmetric inhomogeneous model. At the early phase we get Einstien-deSitter type of solution generalised to inhomogeneous spacetime. But at late stage of…

广义相对论与量子宇宙学 · 物理学 2017-02-17 D. Panigrahi , S. Chatterjee

We obtain an elegant and useful description of the dynamics of Szekeres dust models (in their full generality) by means of `quasi-local' scalar variables constructed by suitable integral distributions that can be interpreted as weighed…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Roberto A. Sussman , Krzysztof Bolejko

We study the effect of inhomogeneities on light propagation. The Sachs equations are solved numerically in the Swiss-Cheese models with inhomogeneities modelled by the Lemaitre-Tolman solutions. Our results imply that, within the models we…

宇宙学与河外天体物理 · 物理学 2011-08-12 Sebastian J. Szybka

In this article, we present an example of an inhomogeneous cosmological model, which is inspired by the linear perturbation theory. The metric of this model can be described as the Einstein-de Sitter background with a periodically…

广义相对论与量子宇宙学 · 物理学 2017-03-29 Szymon Sikora , Krzysztof Głód

We consider the effect on the propagation of light of inhomogeneities with sizes of order 10 Mpc or larger. The Universe is approximated through a variation of the Swiss-cheese model. The spherical inhomogeneities are void-like, with…

天体物理学 · 物理学 2010-02-17 Nikolaos Brouzakis , Nikolaos Tetradis , Eleftheria Tzavara

A new method is proposed for modelling spherically symmetric inhomogeneities in the Universe. The inhomogeneities have finite size and are compensated, so they do not exert any measurable gravitational force beyond their boundary. The…

天体物理学 · 物理学 2009-10-31 A. N. Lasenby , C. J. L. Doran , M. P. Hobson , Y. Dabrowski , A. D. Challinor

By considering the quantum Oppenheimer-Snyder model in loop quantum cosmology, a new quantum black hole model whose metric tensor is a suitably deformed Schwarzschild one is derived. The quantum effects imply a lower bound on the mass of…

广义相对论与量子宇宙学 · 物理学 2023-03-08 Jerzy Lewandowski , Yongge Ma , Jinsong Yang , Cong Zhang

For the Szekeres system which describes inhomogeneous and anisotropic spacetimes we make use of a point-like Lagrangian, which describes the evolution of the physical variables of the Szekeres model, in order to perform a canonical…

广义相对论与量子宇宙学 · 物理学 2021-03-02 Andronikos Paliathanasis

The quasi-spherical Szekeres dust solutions are a generalization of the spherically symmetric Lemaitre-Tolman-Bondi dust models where the spherical shells of constant mass are non-concentric. The quasi-spherical Szekeres dust solutions can…

广义相对论与量子宇宙学 · 物理学 2021-03-10 A. A. Coley , N. Layden , D. D. McNutt

We examine the spatial extrema (local maxima, minima and saddle points) of the covariant scalars (density, Hubble expansion, spatial curvature and eigenvalues of the shear and electric Weyl tensors) of the quasi-spherical Szekeres dust…

广义相对论与量子宇宙学 · 物理学 2015-11-10 Roberto A. Sussman , Ismael Delgado Gaspar

Recently, inhomogeneous generalisations of the Friedmann-Lemaitre-Robertson-Walker cosmological models have gained interest in the astrophysical community and are more often employed to study cosmological phenomena. However, in many papers…

宇宙学与河外天体物理 · 物理学 2011-10-17 Krzysztof Bolejko , Marie-Noëlle Célérier , Andrzej Krasiński

We derive and analyze a class of spherically symmetric cosmological models whose source is an interactive mixture of inhomogeneous cold dark matter (DM) and a generic homogeneous dark energy (DE) fluid. If the DE fluid corresponds to a…

天体物理学 · 物理学 2009-11-10 Roberto A Sussman , Israel Quiros , Osmel Martin Gonzalez

Most of current cosmological theories are built combining an isotropic and homogeneous manifold with a scale factor that depends on time. If one supposes a hyperconical universe with linear expansion, an inhomogeneous metric can be obtained…

广义相对论与量子宇宙学 · 物理学 2018-10-02 Robert Monjo

We investigate a model of gravitational collapse of matter inhomogeneities where the latter are modelled as Bianchi type IX (BIX) spacetimes. We found that this model contains, as limiting cases, both the standard spherical collapse model…

广义相对论与量子宇宙学 · 物理学 2022-03-15 Leonardo Giani , Oliver F. Piattella , Alexander Yu. Kamenshchik

This paper analyses cosmological observations within inhomogeneous and exact solutions of the Einstein equations. In some way the analyses presented here can be freed from assumptions such as small amplitude of the density contrast. The…

天体物理学 · 物理学 2009-11-13 Krzysztof Bolejko

We study the differences and equivalences between the non-perturbative description of the evolution of cosmic structure furnished by the Szekeres dust models (a non-spherical exact solution of Einstein's equations) and the dynamics of…

广义相对论与量子宇宙学 · 物理学 2017-04-05 Roberto A. Sussman , Juan Carlos Hidalgo , Ismael Delgado Gaspar , Gabriel German

We consider the existence of an "inflaton" described by an homogeneous scalar field in the Szekeres cosmological metric. The gravitational field equations are reduced to two families of solutions which describe the homogeneous…

广义相对论与量子宇宙学 · 物理学 2018-10-17 John D. Barrow , Andronikos Paliathanasis

This thesis concerns the compatibility of inhomogeneous cosmologies with our present understanding of the universe. It is a problem of some interest to find the class of all relativistic cosmological models which are capable of providing a…

天体物理学 · 物理学 2007-05-23 Chris A. Clarkson

We propose a two parameters extension of the flat $\Lambda$CDM model to capture the impact of matter inhomogeneities on our cosmological inference. Non virialized but non-linearly evolving overdense and underdense regions, whose abundance…

宇宙学与河外天体物理 · 物理学 2025-07-11 Leonardo Giani , Rodrigo Von Marttens , Ryan Camilleri