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We study a gravitating spherically symmetric nonrelativistic configuration consisting of a spinor fluid whose effective equation of state is derived from a consideration of a limiting system supported by a massive nonlinear spinor field.…

General Relativity and Quantum Cosmology · Physics 2021-06-17 Vladimir Dzhunushaliev , Vladimir Folomeev

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

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 Einstein Gauss-Bonnet theory of gravity is the low energy limit of heterotic super-symmetric string theory. This paper deals gravitational collapse of perfect fluid in Einstein Gauss-Bonnet gravity by considering the Lemaitre - Tolman -…

General Relativity and Quantum Cosmology · Physics 2018-01-12 G. Abbas , M. Tahir

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 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 investigate the gravitational collapse of a spherically symmetric, inhomogeneous star, which is described by a perfect fluid with heat flow and satisfies the equation of state $p=\rho/3$ or $p=C\rho^\ga$ at its center. Different from the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zhe Chang , Cheng-Bo Guan , Chao-Guang Huang , Xin Li

We study the spherical collapse of an over-density of a barotropic fluid with linear equation of state in a cosmological background. Fully relativistic simulations are performed by using the Baumgarte-Shibata-Shapiro-Nakamura formalism…

General Relativity and Quantum Cosmology · Physics 2021-04-15 François Staelens , Jérémy Rekier , André Füzfa

We compare the gravitational collapse of homogeneous perfect fluid with various equations of state in the framework of General Relativity and in $R^2$ gravity. We make our calculations using dimensionless time with characteristic timescale…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Artyom V. Astashenok , Karim Mosani , Sergey D. Odintsov , Gauranga C. Samanta

Perfect fluid with kinematic self-similarity is studied in 2+1 dimensional spacetimes with circular symmetry, and various exact solutions to the Einstein field equations are given. In particular, these include all the solutions of dust and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. Y. Miguelote , N. A. Tomimura , Anzhong Wang

We investigate here gravitational collapse of a perfect fluid with a linear isentropic equation of state $p = k \rho$. A class of collapse models is given which is a family of solutions to Einstein equations and the final fate of collapse…

General Relativity and Quantum Cosmology · Physics 2015-02-24 Sanjay Sarwe , R. V. Saraykar , Pankaj S. Joshi

We investigate spherically symmetric perfect-fluid spacetimes and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and obtain gauge invariant conditions relating…

General Relativity and Quantum Cosmology · Physics 2014-11-20 José Pedro Mimoso , Morgan Le Delliou , Filipe C. Mena

The purpose of this paper is to further investigate the solution space of self-similar spherically symmetric perfect-fluid models and gain deeper understanding of the physical aspects of these solutions. We achieve this by combining the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. J. Carr , A. A. Coley , M. Goliath , U. S. Nilsson , C. Uggla

The gravitational collapse of spherical, barotropic perfect fluids is analyzed here. For the first time, the final state of these systems is studied without resorting to simplifying assumptions - such as self-similarity - using a new…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Roberto Giambo' , Fabio Giannoni , Giulio Magli , Paolo Piccione

The structure of the Einstein field equations describing the gravitational collapse of spherically symmetric isotropic fluids is analyzed here for general equations of state. A suitable system of coordinates is constructed which allows us,…

General Relativity and Quantum Cosmology · Physics 2015-03-24 Roberto Giambò , Giulio Magli

We express Einstein's field equations for a spherically symmetric ball of general fluid such that they are conducive to an initial value problem. We show how the equations reduce to the Vaidya spacetime in a non-null coordinate frame,…

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

In this paper, we investigate spherically symmetric perfect fluid gravitational collapse in metric $f(R)$ gravity. We take non-static spherically symmetric metric in the interior region and static spherically symmetric metric in the…

General Relativity and Quantum Cosmology · Physics 2011-01-17 M. Sharif , H. Rizwana Kausar

Gravitational collapse of a spherically symmetric cloud has been extensively studied to investigate the nature of resulting singularity. However, there has been considerable debate about the admissibility of certain initial density…

General Relativity and Quantum Cosmology · Physics 2008-02-03 H. M. Antia

Analytic spherically symmetric solutions of the Einstein field equations coupled with a perfect fluid and with self-similarities of the zeroth, first and second kinds, found recently by Benoit and Coley [Class. Quantum Grav. {\bf 15}, 2397…

General Relativity and Quantum Cosmology · Physics 2009-11-07 C. F. C. Brandt , L. -M. Lin , J. F. Villas da Rocha , A. Z. Wang

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