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In this paper, we investigate the nature of the singularity in the spherically symmetrical, shear-free, gravitational collapse of a star with heat flux using a separable metric [cqg1]. For any non-singular, regular, radial density profile…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. M. Wagh , R. V. Saraykar , P. S. Muktibodh , K. S. Govinder

We study collapse of inhomogeneous dust and null dust (Vaidya radiation) in pure Lovelock gravity in higher dimensions. Since pure Lovelock gravity is kinematic in odd d=2N+1 dimension, hence pertinent dimension for the study is even…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Naresh Dadhich , Sushant G. Ghosh , Sanjay Jhingan

We study quasi-spherical Szekeres space-time (which possess no killing vectors) for perfect fluid, matter with tangential stress only and matter with anisotropic pressure respectively. In the first two cases cosmological solutions have been…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Subenoy Chakraborty , Sanjukta Chakraborty , Ujjal Debnath

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

We simulate the evolution of one-dimensional gravitating collisionless systems from non- equilibrium initial conditions, similar to the conditions that lead to the formation of dark- matter halos in three dimensions. As in the case of 3D…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-05 A. E. Schulz , Walter Dehnen , Gerard Jungman , Scott Tremaine

We consider diagonal cylindrically symmetric metrics, with an interior representing a general non-rotating fluid with anisotropic pressures. An exterior vacuum Einstein-Rosen spacetime is matched to this using Darmois matching conditions.…

General Relativity and Quantum Cosmology · Physics 2009-11-06 A. di Prisco , L. Herrera , M. A. H. MacCallum , N. O. Santos

Gravitational collapse of a spherically symmetric homogeneous perfect barotropic fluid with linear as well as polytropic type Equation of State (EoS) has been investigated in the framework of a linear model of $f(R,T)$ gravity. This…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Karim Mosani , Gauranga C. Samanta

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-time. The naked singularities are found to be gravitationally…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ujjal Debnath , Subenoy Chakraborty

We study the collapse of spherical cold clouds beyond black hole formation to investigate the possibility of a bounce in the in-falling matter when a critical density or pressure is reached. As a first step, we analyse the pressureless…

General Relativity and Quantum Cosmology · Physics 2025-01-24 Swaraj Pradhan , Michael Gabler , Enrique Gaztañaga

In gravitational collapses, the horizon and singularity's realisation in the finite future of the proper time used co-moving observer happens in the future of infinitely far away future of the normal time used outside probe. To the latter…

General Relativity and Quantum Cosmology · Physics 2024-04-10 Ding-fang Zeng

A new class of self-gravitating collapsing star models with perfect fluid distributions is discussed in this work. The paper has a comprehensive analysis of a homogeneous gravitational collapsing system wherein using a parametrization…

General Relativity and Quantum Cosmology · Physics 2023-03-14 Annu Jaiswal , Rajesh Kumar , Sudhir Kumar Srivastava , S. K. J. Pacif

Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. J. Adler , J. D. Bjorken , P. Chen , J. S. Liu

We study the effects of cut-off physics, in the form of a modified algebra inspired by Polymer Quantum Mechanics and by the Generalized Uncertainty Principle representation, on the collapse of a spherical dust cloud. We analyze both the…

General Relativity and Quantum Cosmology · Physics 2024-03-14 Gabriele Barca , Giovanni Montani

We carry out numerical simulations of the gravitational collapse of a perfect fluid with the ultrarelativistic equation of state $P=\kappa\rho$, in spherical symmetry in $2+1$ spacetime dimensions with $\Lambda<0$. At the threshold of…

General Relativity and Quantum Cosmology · Physics 2021-07-20 Patrick Bourg , Carsten Gundlach

We examine the gravitational collapse of spherically symmetric inhomogeneous dust in (2+1) dimensions, with cosmological constant. We obtain the analytical expressions for the interior metric. We match the solution to a vacuum exterior. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sashideep Gutti

We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly capture characteristic effects of general…

Solar and Stellar Astrophysics · Physics 2014-03-04 Biao Lian , Yu-Qing Lou

This investigation is devoted to the solutions of Einstein's field equations for a circularly symmetric anisotropic fluid, with kinematic self-similarity of the first kind, in $(2+1)$-dimensional spacetimes. In the case where the radial…

General Relativity and Quantum Cosmology · Physics 2010-11-04 M. R. Martins , M. F. A. da Silva , Andrew D. Sheng

The stability analysis of self-similar solutions is an important approach to confirm whether they act as an attractor in general non-self-similar gravitational collapse. Assuming that the collapsing matter is a perfect fluid with the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eiji Mitsuda , Akira Tomimatsu

We present a discussion of the effects induced by bulk viscosity either on the very early Universe stability and on the dynamics associated to the extreme gravitational collapse of a gas cloud. In both cases the viscosity coefficient is…

General Relativity and Quantum Cosmology · Physics 2009-03-24 Nakia Carlevaro , Giovanni Montani

We study the gravitational collapse of a kink within spherical symmetry and the characteristic formulation of General Relativity. We explore some expected but elusive gravitational collapse issues which have not been studied before in…

General Relativity and Quantum Cosmology · Physics 2016-04-20 W. Barreto , J. Crespo , H. de Oliveira , E. Rodrigues , B. Rodriguez-Mueller