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We analyze spherical dust collapse with non-vanishing radial pressure, $\Pi$, and vanishing tangential stresses. Considering a barotropic equation of state, $\Pi=\gamma\rho$, we obtain an analytical solution in closed form---which is exact…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Sergio M. C. V. Goncalves , Sanjay Jhingan

In this article, we present a gravitational collapse null dust solution of the Einstein field equations. The spacetime is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity, and admits one…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Faizuddin Ahmed

I present the first analytical study of gravitational collapse in a compact CMC foliation with $S^3$ spatial topology. The solutions I find, in this context, will be both solutions of Shape Dynamics and General Relativity. The aim is to…

General Relativity and Quantum Cosmology · Physics 2017-04-14 Flavio Mercati

We investigate the end state of the gravitational collapse of an inhomogeneous dust cloud in higher dimensional space-time. The naked singularities are shown to be developing as the final outcome of non-marginally bound collapse. The naked…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Ujjal Debnath , Subenoy Chakraborty

We study spherically symmetric gravitational collapse of an inhomogeneous fluid with anisotropic energy momentum tensor (EMT) in Rastall gravity. Considering a linear equation of state (EoS) for the fluid profiles, i.e., $p_r=w_r\rho$ and…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Akbar Jahan , Naser Sadeghnezhad , Amir Hadi Ziaie

We examine the existence of an apparent horizon in the collapse of an isolated dust cloud using expansion functions. Our results indicate that in the region of spacetime far away from the gravitational singularity, the considered system has…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Koushiki , W. Piechocki , G. Plewa

The macroscopic effects of the quantum conformal anomaly are evaluated in a simplified two-dimensional model of gravitational collapse. The effective action and stress tensor of the anomaly can be expressed in a local quadratic form by the…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Emil Mottola , Mani Chandra , Gian Mario Manca , Evgeny Sorkin

The motive of this work is to study gravitational collapse in Husain space-time in Brans-Dicke gravity theory. Among many scalar-tensor theories of gravity, Brans-Dicke is the simplest and the impact of it can be regulated by two parameters…

General Physics · Physics 2015-06-16 Prabir Rudra , Ritabrata Biswas , Ujjal Debnath

We establish an exact bidirectional map between interior Friedmann density of a collapsing star and exterior static spherically symmetric metric in generalized Oppenheimer-Snyder collapse. This reduces Einstein's differential…

General Relativity and Quantum Cosmology · Physics 2026-05-12 H. Khodabakhshi , Zhi-Chao Li , H. Lu , F. Shojai

We find analytical solutions describing the collapse of an infinitely long cylindrical shell of counter-rotating dust. We show that--for the classes of solutions discussed herein--from regular initial data a curvature singularity inevitably…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Sergio M. C. V. Goncalves , Sanjay Jhingan

We study the complete gravitational collapse of a class of spherically symmetric inhomogeneous perfect fluid models obtained by introducing small radial perturbations in an otherwise homogeneous matter cloud. Our aim here is to study the…

General Relativity and Quantum Cosmology · Physics 2016-03-10 Seema Satin , Daniele Malafarina , Pankaj S. Joshi

We consider the dynamics of timelike spherical thin matter shells in vacuum. A general formalism for thin shells matching two arbitrary spherical spacetimes is derived, and subsequently specialized to the vacuum case. We first examine the…

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

In three-dimensional low-energy string theory, we study the formation of a black string from a dust cloud. We analytically obtain two distinct classes of exact solutions with arbitrary functions responsible for mass distributions of the…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Hwajin Eom , Wontae Kim

Spherical dust collapse generally forms a shell focusing naked singularity at the symmetric center. This naked singularity is massless. Further the Newtonian gravitational potential and speed of the dust fluid elements are everywhere much…

General Relativity and Quantum Cosmology · Physics 2009-10-31 K. Nakao , H. Iguchi , T. Harada

We study the process of gravitational collapse in pure Gauss-Bonnet gravity. In the homogeneous dust collapse, we show that the $D=7$ pure Gauss-Bonnet theory has gravitational dynamics indistinguishable from Einstein's theory in $D=4$,…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Konstantinos F. Dialektopoulos , Daniele Malafarina , Naresh Dadhich

In this paper we will examine the consequence of a canonical theory of quantum dust collapse in 2+1 dimensions. The solution of the WDW equation describing the collapse indicates that collapsing shells outside the apparent horizon are…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Souvik Sarkar , Cenalo Vaz , L. C. R. Wijewardhana

We consider here the gravitational collapse of a spherically symmetric inhomogeneous dust cloud described by the Tolman-Bondi models. By studying a general class of these models, we find that the end state of the collapse is either a black…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. S. Joshi , T. P. Singh

We study numerically the effects of loop quantum gravity motivated corrections on massless scalar field collapse in Painlev\'e-Gullstrand coordinates. Near criticality, the system exhibits Choptuik scaling with the added features of a mass…

General Relativity and Quantum Cosmology · Physics 2009-08-11 J. Ziprick , G. Kunstatter

In spherical symmetry, gravitational collapse of dust may give rise to the so-called shell-crossing singularities, beyond which spacetime can be extended using weak solutions to the integrated version of the equations of motion. We argue…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Francesco Fazzini , Hassan Mehmood

We study the collapse of a spherically symmetric dust distribution in $d$-dimensional AdS spacetime. We investigate the role of dimensionality, and the presence of a negative cosmological constant, in determining the formation of trapped…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rakesh Tibrewala , Sashideep Gutti , T. P. Singh , Cenalo Vaz