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During gravitational collapse of dust in spherical symmetry, matter particles may collide forming shell crossing surfaces (SCS) on which the Einstein equations become indeterministic. We show that there is a unique evolution beyond SCS such…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Viqar Husain , Hassan Mehmood

LeMa\^\i tre-Tolman-Bondi models of spherical dust collapse have been used and continue to be used extensively to study various stellar collapse scenarios. It is by now well-known that these models lead to the formation of black holes and…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Cenalo Vaz , Louis Witten , T. P. Singh

In recent years there has been growing interest in verifying the horizon-scale homogeneity of the Universe that follows from applying the Copernican Principle to the observed isotropy. This program has been stimulated by the discovery that…

Astrophysics · Physics 2008-11-26 J. P. Zibin

We perform numerical evolutions of cosmological scenarios using a standard general relativistic code in spherical symmetry. We concentrate on two different situations: initial matter distributions that are homogeneous and isotropic, and…

General Relativity and Quantum Cosmology · Physics 2014-12-09 Jose M. Torres , Miguel Alcubierre , Alberto Diez-Tejedor , Dario Nunez

We provide a covariant framework to study singularity-free Lema\^itre-Tolman-Bondi spacetimes with effective corrections motivated by loop quantum gravity. We show that, as in general relativity, physically reasonable energy distributions…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Asier Alonso-Bardaji , David Brizuela

We derive some more results on the nature of the singularities arising in the collapse of inhomogeneous dust spheres. (i) It is shown that there are future-pointing radial and non-radial time-like geodesics emerging from the singularity if…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Brien C. Nolan , Filipe C. Mena

During the past fifteen years, inhomogeneous cosmological models have been put forward to explain the observed dimming of the SNIa luminosity without resorting to dark energy. The simplest models are the spherically symmetric…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-29 Marie-Noëlle Célérier

(abridged) The dust content of the universe is primarily explored via its interaction with stellar photons, producing interstellar extinction. However, owing to the physical extension of the observing beam, observations may detect scattered…

Solar and Stellar Astrophysics · Physics 2015-12-02 P. Scicluna , R. Siebenmorgen

We revisit the gravitational collapse of spherically symmetric Lema\^itre - Tolman - Bondi (LTB) dust models. A sufficient condition for global visibility of singularity is given. This condition also allows us to extend the condition of…

General Relativity and Quantum Cosmology · Physics 2021-02-04 Sanjay Jhingan , Sahal Kaushik

Theoretical formation models and exoplanet detection surveys indicate that systems with multiple giant planets are common. We investigate how multiple super-thermal mass planets embedded in a circumstellar disk shape the dust distribution…

Earth and Planetary Astrophysics · Physics 2026-04-15 V. Roatti , G. Picogna , F. Marzari

We study the formation and evolution of voids in the dark matter distribution using various simulations of the popular $\Lambda$ Cold Dark Matter cosmogony. We identify voids by requiring them to be regions of space with a mean overdensity…

Astrophysics · Physics 2009-11-10 Joerg M. Colberg , Ravi K. Sheth , Antonaldo Diaferio , Liang Gao , Naoki Yoshida

We demonstrate the occurrence of permanent spikes using the Lemaitre-Tolman-Bondi models, chosen because the solutions are exact and can be analyzed by qualitative dynamical systems methods. Three examples are given and illustrated…

General Relativity and Quantum Cosmology · Physics 2014-05-22 Alan Coley , Woei Chet Lim

We have examined the spatial distribution of substructure in clusters of galaxies using Einstein X-ray observations. Subclusters are found to have a markedly anisotropic distribution that reflects the surrounding matter distribution on…

Astrophysics · Physics 2009-10-28 Michael J. West , Christine Jones , William Forman

The aim of this paper is to check if the models with realistic inhomogeneous matter distribution and without cosmological constant can explain the dimming of the supernovae in such a way that it can be interpreted as an acceleration of the…

Astrophysics · Physics 2014-10-13 Krzysztof Bolejko

We explore the well know mass deficit/surplus phenomenon in General Relativity to suggest that it could play a part in the dark matter conundrum. Specifically in collapses and condensations of matter associated with negative intrinsic…

General Relativity and Quantum Cosmology · Physics 2025-07-17 Raymond Isichei , Joao Magueijo

In spherical symmetry, gravitational collapse of dust may give rise to the so-called shell-crossing singularities, beyond which spacetime can be extended using weak solutions to the integrated version of the equations of motion. We argue…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Francesco Fazzini , Hassan Mehmood

Extension of particle symmetry implies new conserved charges and the lightest particles, possessing such charges, should be stable. Created in early Universe, stable charged heavy leptons and quarks can exist and, hidden in elusive atoms…

Astrophysics · Physics 2007-05-23 Maxim Yu. Khlopov

We consider spherically symmetric inhomogeneous dust models with a positive cosmological constant, $\Lambda$, given by the Lemaitre-Tolman-Bondi metric. These configurations provide a simple but useful generalization of the Lambda-CDM model…

General Relativity and Quantum Cosmology · Physics 2015-03-14 Roberto A. Sussman , German Izquierdo

We will describe here the structure of singularity forming in gravitational collapse of spherically symmetric inhomogeneous dust. Such a collapse is described by the Tolman-Bondi-Lema{\^i}tre metric. The main new result here relates, in a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Jhingan

The standard theoretical estimation of the thermal dark matter abundance may be significantly altered if properties of dark matter particles in the early universe and at the present cosmological epoch differ. This may happen if, e.g., a…

High Energy Physics - Phenomenology · Physics 2020-04-01 Archil Kobakhidze , Michael A. Schmidt , Matthew Talia