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A model is proposed of a collapsing quasi-spherical radiating star with matter content as shear-free isotropic fluid undergoing radial heat-flow with outgoing radiation. To describe the radiation of the system, we have considered both plane…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ujjal Debnath , Soma Nath , Subenoy Chakraborty

A recent study of dissipative collapse considered a contracting sphere in which the areal and proper radii are equal throughout its evolution. The interior spacetime was matched to the exterior Vaidya spacetime which generated a temporal…

General Relativity and Quantum Cosmology · Physics 2011-04-07 G. Govender , M. Govender , K. S. Govinder

This paper is devoted to investigate the gravitational perfect fluid collapse in the framework of Chern-Simon modified gravity. For this purpose, we assume the spherically symmetric metric as an interior region and the Schwarzchild…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Muhammad Jamil Amir , Sarfraz Ali

The initial state of the spherical gravitational collapse in general relativity has been studied with different methods, especially by using {\it a priori} given equations of state that describe the matter as a perfect fluid. We propose an…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Elly Bayona , Hernando Quevedo , Miguel Alcubierre

We investigate the collapse of a circularly symmetric star with outgoing radiation in ($2+1$)-dimensional anti-de Sitter spacetime. The exterior spacetime of the collapsing star is assumed to be described by the non-static generalization of…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Ranjan Sharma , Shyam Das , Farook Rahaman , Gopal Chandra Shit

In this paper, we study the gravitational collapse of a fluid ball undergoing dissipation in the form of heat flux, in the framework of $f(R,T)$ gravity. To apply the junction conditions in order to match the interior and the exterior…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Uttaran Ghosh , Sarbari Guha

Exact solutions of the gravitational field equations for a mixture of a null charged strange quark fluid and radiation are obtained in a Vaidya space-time. The conditions for the formation of a naked singularity are analyzed by considering…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Harko , K. S. Cheng

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 Paper I in this series we constructed evolution equations for the complete gauge-invariant linear perturbations of a time-dependent spherically symmetric perfect fluid spacetime. A key application of this formalism is the interior of a…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jose M. Martin-Garcia , Carsten Gundlach

We present a study of shearfree gravitational collapse using cylindrically symmetric spacetimes whose interior is a non-rotating dissipative fluid bounded by a cylindrical hypersurface beyond which is an Einstein-Rosen vacuum exterior. We…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Marie-Noëlle Célérier , Nilton O. Santos

Stability of self-similar solutions for gravitational collapse is an important problem to be investigated from the perspectives of their nature as an attractor, critical phenomena and instability of a naked singularity. In this paper we…

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

We investigate spherically symmetric gravitational collapse of thick matter shell without radiation in the Einstein gravity with cosmological constant. The orbit of the infalling thick matter is determined by imposing an equation of state…

General Relativity and Quantum Cosmology · Physics 2023-01-10 Shuichi Yokoyama

The present work includes an analytical investigation of a collapsing spherical star in f (R) gravity. The interior of the collapsing star admits a conformal flatness. Information regarding the fate of the collapse is extracted from the…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Soumya Chakrabarti , Rituparno Goswami , Sunil Maharaj , Narayan Banerjee

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

We study gravitational collapse of a spherical fluid in nonrelativistic general covariant theory of the Ho\v{r}ava-Lifshitz gravity with the projectability condition and an arbitrary coupling constant $\lambda$, where $|\lambda - 1|$…

High Energy Physics - Theory · Physics 2015-06-01 Jared Greenwald , Jonatan Lenells , V. H. Satheeshkumar , Anzhong Wang

We consider a scenario where the interior spacetime,described by a heat conducting fluid sphere is matched to a Vaidya metric in higher dimensions.Interestingly we get a class of solutions, where following heat radiation the boundary…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. banerjee , S. Chatterjee

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 the evolution of radiating and viscous fluid spheres assuming an additional homothetic symmetry on the spherically simmetric space--time. We match a very simple solution to the symmetry equations with the exterior one (Vaidya). We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 W. Barreto , J. Ovalle , B. Rodriguez

We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy momentum tensor [Phys. Rev. D, 75, 024031 (2007)] to derive equations governing spherically symmetric distributions of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Lasky , Anthony Lun

We investigate the evolution of non-adiabatic collapse of a shear-free spherically symmetric stellar configuration with anisotropic stresses accompanied with radial heat flux. The collapse begins from a curvature singularity with infinite…

General Relativity and Quantum Cosmology · Physics 2013-04-30 R. Sharma , R. Tikekar