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In this paper, we discuss the spherically symmetric gravitational collapse of matter fields in the de Sitter universe. The energy-momentum tensor of the matter field is assumed to admit a wide variety including dust, perfect fluids with…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Akriti Garg , Ayan Chatterjee

This paper deals with a detail study of gravitational collapse of dust and viscous fluids under the assumptions of spherical symmetry. Our main goal is to closely analyze the horizons which arise during this gravitational phenomenon. To…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Ayan Chatterjee , Amit Ghosh , Suresh Jaryal

We investigate here spherically symmetric gravitational collapse in a spacetime with an arbitrary number of dimensions and with a general {\it type I} matter field, which is a broad class that includes most of the physically reasonable…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rituparno Goswami , Pankaj S Joshi

In this paper, we study the gravitational collapse of matter fields, which include dust, perfect fluids as well as fluids admitting bulk and shear viscosity. The initial conditions on these matter fields have been kept to be quite general:…

General Relativity and Quantum Cosmology · Physics 2025-05-09 Akshay Kumar , Ayan Chatterjee , Suresh C. Jaryal

In this paper, we discuss gravitational collapse of spherically symmetric spacetimes. We derive a general formalism by taking two arbitrary spherically symmetric spacetimes with $g_{00}=1$. Israel's junction conditions are used to develop…

General Relativity and Quantum Cosmology · Physics 2009-07-22 M. Sharif , Khadija Iqbal

The gravitational collapse of an infinite cylindrical thin shell of generic matter in an otherwise empty spacetime is considered. We show that geometries admitting two hypersurface orthogonal Killing vectors cannot contain trapped surfaces…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sergio M. C. V. Goncalves

We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Edward Malec , Niall Ó Murchadha

In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined $n \rightarrow4$d limit of the Einstein-Gauss-Bonnet gravity. The collapse leads to either a black hole or a massive naked…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Suresh C. Jaryal , Ayan Chatterjee

A new numerical framework, based on the use of a simple first order strongly hyperbolic evolution equations, is introduced and tested in case of 4-dimensional spherically symmetric gravitating systems. The analytic setup is chosen such that…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Peter Csizmadia , Istvan Racz

We study the spherical gravitational collapse of a compact object under the approximation that the radial pressure is identically zero, and the tangential pressure is related to the density by a linear equation of state. It turns out that…

General Relativity and Quantum Cosmology · Physics 2009-10-30 T. P. Singh , Louis Witten

In this work, we propose a model of the gravitational collapse of dark matter in the presence of quintessence or phantom-like scalar fields. Our treatment is based on the principles of general relativity up to virialization. We have chosen…

General Relativity and Quantum Cosmology · Physics 2023-06-02 Priyanka Saha , Dipanjan Dey , Kaushik Bhattacharya

We consider marginally trapped surfaces in a spherically symmetric spacetime evolving due to the presence of a perfect fluid in D-dimensions and look at the various definitions of the surface gravity for these marginally trapped surfaces.…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Anamika Avinash Pathak , Konka Raviteja , Swastik Bhattacharya , Sashideep Gutti

We study the gravitational collapse of Type I matter field in $N$ dimensional spacetime with radial pressure $p_{r}$ as a function of $r $. We find that for a given smooth initial data set satisfying physical requirements, naked…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. B. Sarwe , R. V. Saraykar

We derive an equation for the acceleration of a fluid element in the spherical gravitational collapse of a bounded compact object made up of an imperfect fluid. We show that non-singular as well as singular solutions arise in the collapse…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Sukratu Barve , T. P. Singh , Louis Witten

We study here the spherical gravitational collapse assuming initial data to be necessarily smooth, as motivated by the requirements based on physical reasonableness. A tangential pressure model is constructed and analyzed in order to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ashutosh Mahajan , Rituparno Goswami , Pankaj S. Joshi

This paper investigates the global properties of a class of spherically symmetric spacetimes. The class contains the maximal development of asymptotically flat spherically symmetric initial data for a wide variety of coupled Einstein-matter…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Mihalis Dafermos

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

In spherical symmetry, the total energy-momentum tensor near the apparent horizon is identified up to a single function of time from two assumptions: a trapped region forms at a finite time of a distant observer, and values of two curvature…

General Relativity and Quantum Cosmology · Physics 2019-12-12 Daniel Terno

Bounds for the area of general closed marginally trapped surfaces (MTSs) are presented. They do not require any stability condition, and are determined by a constant that depends on a particular component of the Einstein tensor on the…

General Relativity and Quantum Cosmology · Physics 2026-04-29 José M. M. Senovilla

In the present work we study spherically symmetric gravitational collapse of a homogeneous perfect fluid in the context of Generalized Rastall Theory (GRT). In this modified version of the original {Rastall Gravity (RG)}, the coupling…

General Physics · Physics 2021-11-03 A. H. Ziaie , H. Moradpour , M. Mohammadi Sabet
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