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We consider spherically symmetric gravity coupled to a spherically symmetric scalar field with a specific coupling which depends on the Areal Radius. Classical collapse is described by the Vaidya solution. The semiclassical Einstein…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Madhavan Varadarajan

We consider here the effects of a non-vanishing cosmological term on the final fate of a spherical inhomogeneous collapsing dust cloud. It is shown that depending on the nature of the initial data from which the collapse evolves, and for a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. S. Deshingkar , S. Jhingan , A. Chamorro , P. S. Joshi

Non-axisymmetric features are found in the core collapse of a rapidly rotating massive star, which might have important implications for magnetic field amplification and production of a bipolar outflow that can explode the star, as well as…

High Energy Astrophysical Phenomena · Physics 2018-03-16 Avishai Gilkis

We examine here the nature of the central singularity forming in the spherically symmetric collapse of a dust cloud and it is shown that this is always a strong curvature singularity where gravitational tidal forces diverge powerfully. An…

General Relativity and Quantum Cosmology · Physics 2016-08-25 S. S. Deshingkar , P. S. Joshi , I. H. Dwivedi

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

Star clusters in isothermal spheres are studied from a thermodynamic point of view. New density profiles are presented, that describe the collapsed phase at low temperatures. At the transition a set of binaries is formed that carries 13 %…

Statistical Mechanics · Physics 2007-05-23 Th. M. Nieuwenhuizen

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

We present a thermodynamic analysis of spherically symmetric gravitational collapse. Using the Hayward-Kodama formalism, we treat a collapsing sphere as a thermodynamic system and express the surface gravity $\kappa_{hk}$ in terms of the…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Soumya Chakrabarti

The classical model of an isolated selfrgavitating gaseous star is given by the Euler-Poisson system with a polytropic pressure law $P(\rho)=\rho^\gamma$, $\gamma>1$. For any $1<\gamma<\frac43$, we construct an infinite-dimensional family…

Analysis of PDEs · Mathematics 2018-11-06 Yan Guo , Mahir Hadzic , Juhi Jang

A class of isotropic and scale invariant strain energy functions is given for which the corresponding spherically symmetric elastic motion includes bodies whose diameter becomes infinite with time or collapses to zero in finite time,…

Analysis of PDEs · Mathematics 2023-12-12 Thomas C. Sideris

We study the gravitational collapse of a homogeneous scalar field, minimally coupled to gravity, in the presence of a particular type of dynamical deformation between the canonical momenta of the scale factor and of the scalar field. In the…

General Relativity and Quantum Cosmology · Physics 2014-03-05 S. M. M. Rasouli , A. H. Ziaie , J. Marto , P. V. Moniz

We present dynamical description of gravitational collapse in view of Misner and Sharp's formalism. Matter under consideration is a complicated fluid consistent with plane symmetry which we assume to undergo dissipation in the form of heat…

General Relativity and Quantum Cosmology · Physics 2014-11-20 M. Sharif , Zakia Rehmat

There are known models of spherical gravitational collapse in which the collapse ends in a naked shell-focusing singularity for some initial data. If a massless scalar field is quantized on the classical background provided by such a star,…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Tomohiro Harada , Hideo Iguchi , Ken-ichi Nakao , T. P. Singh , Takahiro Tanaka , Cenalo Vaz

We numerically study the dynamics of an imploding hollow cylinder composed of dust. Since there is no cylindrical black hole in 4-dimensional spacetime with physically reasonable energy conditions, a collapsed dust cylinder involves a naked…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Ken-ichi Nakao , Tomohiro Harada , Yasunari Kurita , Yoshiyuki Morisawa

The kinetic energy of supersonic turbulence within interstellar clouds is subject to cooling by dissipation in shocks and subsequent line radiation. The clouds are therefore susceptible to a condensation process controlled by the specific…

Astrophysics of Galaxies · Physics 2020-02-05 Eric Keto , George B. Field , Eric G. Blackman

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

This paper deals with the collapse and expansion of relativistic anisotropic self-gravitating source. The field equations for non-radiating and non-static plane symmetric anisotropic source have been evaluated. The non-radiating property of…

General Relativity and Quantum Cosmology · Physics 2014-03-11 G. Abbas

We study the mechanisms of the gravitational collapse of the Bose-Einstein condensate dark matter halos, described by the zero temperature time-dependent nonlinear Schr\"odinger equation (the Gross-Pitaevskii equation), with repulsive…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Tiberiu Harko

The present work deals with the dynamics of radiating star which is considered to be expansion free cylindrical symmetric dust dissipative fluids. Several treatments are adopted for the description of geometrical and physical features of…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Rajesh Kumar , Sudhir Kumar Srivastava

This manuscript is devoted to study the combined effect of a viable model, f(R) = R + \alpha R^n, and electromagnetic field on the instability range of gravitational collapse. We assume charged anisotropic fluid that dissipate energy via…

General Relativity and Quantum Cosmology · Physics 2014-02-03 H. Rizwana Kausar , Ifra Noureen