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We investigate the occurrence of shell crossing singularities in quasi-spherical Szekeres dust models with or without a cosmological constant. We study the conditions for shell crossing singularity both from physical and geometrical point…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Subenoy Chakraborty , Ujjal Debnath

We investigate here the local versus global visibility of a space-time singularity formed due to the gravitational collapse of a spherically symmetric dust cloud having a non-zero velocity function. The conditions are investigated that…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Karim Mosani , Dipanjan Dey , Pankaj S. Joshi

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

We present a loop quantization of the marginally bound Lema\^itre-Tolman-Bondi (LTB) model, describing the gravitational collapse of pressureless dust in spherical symmetry. The full quantum LTB model is constructed as a collection of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Luca Cafaro , Farshid Soltani

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 this dissertation we study two well known gravitational scenarios in which singularities may appear; the final state of gravitational collapse and the late time evolution of the universe. In the first scenario, we study a spherically…

General Relativity and Quantum Cosmology · Physics 2014-05-22 Yaser Tavakoli

While the outcome of gravitational collapse in classical general relativity is unquestionably a black hole, up to now no full and complete semiclassical description of black hole formation has been thoroughly investigated. Here we revisit…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Barcelo , Stefano Liberati , Sebastiano Sonego , Matt Visser

The semi-classical collapse, including lowest order back-reaction, of a thin shell of self-gravitating quantized matter is illustrated. The conditions for which self-gravitating matter forms a thin shell are first discussed and an effective…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. L. Alberghi , R. Casadio , G. P. Vacca , G. Venturi

It is the goal of this thesis to revisit and revise the problem of black hole formation and evolution in semiclassical gravity -- a theory in which spacetime is treated classically, while matter admits a quantum description, coupling to…

General Relativity and Quantum Cosmology · Physics 2023-06-13 Valentin Boyanov

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 present work investigates the gravitational collapse of a perfect fluid in $f(R)$ gravity models. For a general $f(R)$ theory, it is shown analytically that a collapse is quite possible. The singularity formed as a result of the…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Soumya Chakrabarti , Narayan Banerjee

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 the multi-scale view of the star formation process the material flows from large molecular clouds down to clumps and cores. In this paradigm it is still unclear if it is gravity or turbulence that drives the observed supersonic…

Astrophysics of Galaxies · Physics 2022-09-21 A. Traficante , G. A. Fuller , A. Duarte-Cabral , D. Elia , M. H. Heyer , S. Molinari , N. Peretto , E. Schisano

We apply the recent results in Loop Quantum Cosmology and in the resolution of Black Hole singularity to the gravitational collapse of a star. We study the dynamic of the space time in the interior of the Schwarzschild radius. In particular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leonardo Modesto

It is now known that when a massive star collapses under the force of its own gravity, the final fate of such a continual gravitational collapse will be either a black hole or a naked singularity under a wide variety of physically…

General Relativity and Quantum Cosmology · Physics 2012-04-20 Pankaj S. Joshi , Daniele Malafarina

In a recent paper, one of us studied spherically symmetric, asymptotically flat solutions of Shape Dynamics, finding that the spatial metric has characteristics of a wormhole - two asymptotically flat ends and a minimal-area sphere, or…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Flavio Mercati , Henrique Gomes , Tim Koslowski , Andrea Napoletano

We present two-dimensional simulations of finite, self-gravitating gaseous sheets. Unlike the case of infinite sheets, such configurations do not constitute equilibrium states but instead are subject to global collapse unless countered by…

Astrophysics · Physics 2009-11-10 Andreas Burkert , Lee Hartmann

We use 1-dimensional numerical simulations to study spherical collapse in the f(R) gravity models. We include the nonlinear coupling of the gravitational potential to the scalar field in the theory and use a relaxation scheme to follow the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Alex Borisov , Bhuvnesh Jain , Pengjie Zhang

The loop quantum gravitational collapse of the dust ball in presence of positive cosmological constant is investigated within the Oppenheimer-Snyder collapse scenario. The dust ball interior is described within the framework of loop quantum…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Michał Bobula , Tomasz Pawłowski

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
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