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We consider spherically symmetric linear perturbations of static spherically symmetric spacetimes where the matter content is ellectrically counterpoised dust. We show that the evolution equation for the fluid perturbation implies that the…

General Relativity and Quantum Cosmology · Physics 2020-10-06 Andrés Aceña , Ivan Gentile de Austria

By means of a simple scaling transformation any asymptotically flat Papapetrou-Majumdar solution of the Einstein-Maxwell equations corresponding to a localized regular distribution of electrically counterpoised dust can be reformulated as a…

General Relativity and Quantum Cosmology · Physics 2011-10-19 Reinhard Meinel , Moritz Hütten

Some dynamical aspects of gravitational collapse are explored in this paper. A time-dependent spherically symmetric metric is proposed and the corresponding Einstein field equations are derived. An ultrarelativistic dust-like…

General Relativity and Quantum Cosmology · Physics 2014-07-08 Miquel Pinol

During gravitational collapse of dust in spherical symmetry, matter particles may collide forming shell crossing surfaces (SCS) on which the Einstein equations become indeterministic. We show that there is a unique evolution beyond SCS such…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Viqar Husain , Hassan Mehmood

The collapse of marginally bound, inhomogeneous, pressureless (dust) matter, in spherical symmetry, is considered. The starting point is not, in this case, the integration of the Einstein equations from some suitable initial conditions.…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Ramon Lapiedra , Juan Antonio Morales-Lladosa

We study the quantum gravitational collapse of spherically symmetric pressureless dust. Using an effective equation derived from a polymer quantization in the connection-triad phase space variables of general relativity, we find…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Viqar Husain , Jarod George Kelly , Robert Santacruz , Edward Wilson-Ewing

The present paper deals with the gravitational collapse of an inhomogeneous spherical star consisting of dust fluid in the background of dark energy components with linear equation of state. We discussed the development of apparent horizon…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Anjali Pandey , Rajesh Kumar , Sudhir Kumar Srivastava

In this work we contrast the behaviour of two spherically symmetric matter models in a class of spherically symmetric spacetimes which feature a weak null singularity. This class in particular contains spherically symmetric perturbations of…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Raya V. Mancheva

We study collapse of evaporating spherically-symmetric thin dust shells and dust balls assuming that quantum effects are encapsulated in a spherically-symmetric metric that satisfied mild regularity conditions. The evaporation may…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

Quantum gravity suggests that the paradox recently put forward by Almheiri et. al. (AMPS) can be resolved if matter does not undergo continuous collapse to a singularity but condenses on the apparent horizon. One can then expect a…

General Relativity and Quantum Cosmology · Physics 2015-01-13 Cenalo Vaz

In this essay we examine the gravitational collapse of a nonrelativistic charged perfect fluid interacting with a dark energy component. Given a simple factor for the energy transfer, we obtain a nonsingular interior solution which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Rodrigo Maier

Generalizing earlier results on the initial data and the final fate of dust collapse, we study here the relevance of the initial state of a spherically symmetric matter cloud towards determining its end state in the course of a continuing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 P. S. Joshi , I. H. Dwivedi

Static spherically symmetric distributions of electrically counterpoised dust (ECD) are used to construct solutions to Einstein-Maxwell equations in Majumdar--Papapetrou formalism. Unexpected bifurcating behaviour of solutions with regard…

General Relativity and Quantum Cosmology · Physics 2007-11-13 Dubravko Horvat , Sasa Ilijic , Zoran Narancic

We consider here the question if it is possible to recover cosmic censorship when a transition is made to higher dimensional spacetimes, by studying the spherically symmetric dust collapse in an arbitrary higher spacetime dimension. It is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Rituparno Goswami , Pankaj S Joshi

The dynamics of the gravitational collapse is examined in the realm of string based formalism of D-branes that encompass General Relativity as a low energy limit. A complete analytical solution is given to the spherically symmetric collapse…

General Relativity and Quantum Cosmology · Physics 2009-08-04 R. Maier , I. Damião Soares

Semi-classical corrections at large curvature are employed in toy models of spherically symmetric gravitational collapse in order to avoid the formation of singularities. The resulting spacetimes may produce bounces, compact remnants or…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Daniele Malafarina

By linearly scaling the initial data set (mass and kinetic energy functions) together with the initial area radius of a collapsing dust sphere, we find a symmetry of the collapse dynamics. That is, the linear transformation defines an…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Ujjal Debnath , Subenoy Chakraborty , Naresh Dadhich

We develop an algebraic equation to describe the collapse and possible bounce of dust in quantum-inspired gravity models with spherical symmetry from knowledge of the vacuum solution. Starting from a wide class of spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Douglas M. Gingrich

In case of spherical symmetry, the assumptions of finite-time formation of a trapped region and regularity of its boundary --- the apparent horizon --- are sufficient to identify the form of the metric and energy-momentum tensor in its…

General Relativity and Quantum Cosmology · Physics 2020-01-13 Valentina Baccetti , Sebastian Murk , Daniel R. Terno

The gravitational collapse of a spherically symmetric star, made of a dust fluid, $\rho_{DM}$, in a background of dark energy, $p = w\rho,\; (w < -1/3)$, is studied. It is found that when only dark energy is present, black holes are {\em…

Astrophysics · Physics 2011-07-19 Rong-Gen Cai , Anzhong Wang
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