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We undertake a comprehensive and rigorous analytic study of the evolution of radial profiles of covariant scalars in regular Lemaitre-Tolman-Bondi dust models. We consider specifically the phenomenon of "profile inversions" in which an…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Roberto A. Sussman

Within the Lemaitre-Tolman-Bondi formalism for gravitational collapse of inhomogeneous dust we analyze the parameter space that leads to the formation of a globally covered singularity (i.e. a black hole) when some physically reasonable…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Pankaj S. Joshi , Daniele Malafarina

Physical (and weak) regularity conditions are used to determine and classify all the possible types of spherically symmetric dust spacetimes in general relativity. This work unifies and completes various earlier results. The junction…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Neil Humphreys , Roy Maartens , David Matravers

It is the common consensus that the expansion of a universe always slows down if the gravity provided by the energy sources therein is attractive and accordingly one needs to invoke dark energy as a source of anti-gravity for understanding…

Astrophysics · Physics 2008-11-26 Chia-Hsun Chuang , Je-An Gu , W-Y. P. Hwang

We study the evolution of inhomogeneous spherical perturbations in the universe in a way that generalizes the spherical top hat collapse in a straightforward manner. For that purpose we derive a dynamical equation for the evolution of the…

Cosmology and Nongalactic Astrophysics · Physics 2011-06-13 T. S. Pereira , R. Rosenfeld , A. Sanoja

We investigate the fate of the classical singularity in a collapsing dust cloud. For this purpose, we quantize the marginally bound Lemaitre-Tolman-Bondi model for spherically-symmetric dust collapse by considering each dust shell in the…

General Relativity and Quantum Cosmology · Physics 2019-06-19 Claus Kiefer , Tim Schmitz

The motion of a spherical dust cloud is described by the Lemaitre-Tolman-Bondi solution and is completely specified by initial values of distributions of the rest mass density and specific energy of the dust fluid. From generic initial…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hideo Iguchi , Ken-ichi Nakao , Tomohiro Harada

Recently, there have been suggestions that the apparent accelerated expansion of the universe is not caused by repulsive gravitation due to dark energy, but is rather a result of inhomogeneities in the distribution of matter. In this work,…

Astrophysics · Physics 2007-05-23 Havard Alnes , Morad Amarzguioui , Oyvind Gron

We explore the dynamical evolution of spherically symmetric objects made of electrically counterpoised dust in general relativity. It has been claimed that these objects are in neutral equilibrium and, therefore, that black hole mimickers…

General Relativity and Quantum Cosmology · Physics 2025-01-08 Hugo Visaguirre , Andrés Aceña

An expanding spherically symmetric dust cloud is considered in a framework of general relativity. Initial conditions leading to a shell-crossing singularity are chosen. The way to construct a weak solution for such a case is proposed.…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Sergey Ph. Tegai

Conditions for smooth cosmological models are set out and applied to inhomogeneous spherically symmetric models constructed by matching together different Lemaitre-Tolman-Bondi solutions to the Einstein field equations. As an illustration…

General Relativity and Quantum Cosmology · Physics 2015-06-25 D. R. Matravers , N. P. Humphreys

We introduce a simple model for the formation of voids. In this model the underdensity of galaxies in voids is the product of two factors. The first arises from a gravitational expansion of the negative density perturbation. The second is…

Astrophysics · Physics 2009-10-31 Yasmin Friedmann , Tsvi Piran

A novel mechanism of the formation of compact dusty clouds in astrophysical environments is discussed. It is shown that the balance of collective forces operating in space dusty plasmas can result in the effect of dust self-confinement,…

Astrophysics of Galaxies · Physics 2015-06-17 V. N. Tsytovich , A. V. Ivlev , A. Burkert , G. E. Morfill

Effective models of gravitational collapse in loop quantum gravity for the Lema\^itre-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outwards. We show that in the marginally…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Francesco Fazzini , Viqar Husain , Edward Wilson-Ewing

The approximate homogeneity of spatial sections of the Universe is well supported observationally, but the inhomogeneity of the spatial sections is even better supported. Here, we consider the implications of inhomogeneity in dust models…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-20 Boudewijn F. Roukema , Vincent Blanloeil , Jan J. Ostrowski

In continuing our earlier research, we find the formulae needed to determine the arbitrary functions in the Lemaitre-Tolman model when the evolution proceeds from a given initial velocity distribution to a final state that is determined…

General Relativity and Quantum Cosmology · Physics 2009-06-01 Andrzej Krasinski , Charles Hellaby

We investigate the clustering properties of dynamical Dark Energy even in association of a possible coupling between Dark Energy and Dark Matter. We find that within matter inhomogeneities, Dark Energy migth form voids as well as…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-09 Roberto Mainini

Recently, there has been suggestions that the apparent accelerated expansion of the universe is due not to a cosmological constant, but rather to inhomogeneities in the distribution of matter. In this work, we investigate a specific class…

Astrophysics · Physics 2009-11-13 H. Alnes , M. Amarzguioui , O. Gron

Our universe hosts various large-scale structures from voids to galaxy clusters, so it would be interesting to find some simple and reasonable measure to describe the inhomogeneities in the universe. We explore two different methods for…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Nan Li , Xiao-Long Li , Shu-Peng Song

It is now, generally, believed that the presence of some form of dark matter is essential to explain the flat rotation curves of galaxies, and anomalous large velocities of galaxies in the clusters and superclusters. This dark matter turns…

Astrophysics · Physics 2007-05-23 Mofazzal Azam
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