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Based on the effective dynamics in the $\bar \mu$ scheme of the spherical symmetry reduced model in the reduced phase space formulation of loop quantum gravity (LQG), we investigate the gravitational collapse of a homogeneous dust cloud,…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Kristina Giesel , Muxin Han , Bao-Fei Li , Hongguang Liu , Parampreet Singh

We investigate gravitational dust collapse within an effective loop quantum gravity (LQG)-inspired model exhibiting an asymmetric bounce in the marginally bound case. This work extends previous studies, which have predominantly focused on…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Kristina Giesel , Hongguang Liu , Eric Rullit

Based on modifications inspired from loop quantum gravity (LQG), spherically symmetric models have recently been explored to understand the resolution of classical singularities and the fate of the spacetime beyond. While such…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Kristina Giesel , Hongguang Liu , Parampreet Singh , Stefan Andreas Weigl

The semiclassical collapse of a sphere of quantized dust is studied. A Born-Oppenheimer decomposition is performed for the wave function of the system and the semiclassical limit is considered for the gravitational part. The method of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Roberto Casadio , Fabio Finelli , Giovanni Venturi

The coupling of the metric to an incoherent dust introduces into spacetime a privileged dynamical reference frame and time foliation. The comoving coordinates of the dust particles and the proper time along the dust worldlines become…

General Relativity and Quantum Cosmology · Physics 2009-07-09 J. D. Brown , K. V. Kuchar

We present a method for solving the constraint equations in the Hassan-Rosen bimetric theory to determine the initial data for the gravitational collapse of spherically symmetric dust. The setup leads to equations similar to those for a…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Mikica Kocic , Francesco Torsello , Marcus Högås , Edvard Mortsell

We consider the gravitational collapse of self-gravitating spherical dust cloud in the Hamiltonian formalism. We address both homogeneous and inhomogeneous cases. Our novel derivation of the Hamiltonian of the system is based on the…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Nick Kwidzinski , Daniele Malafarina , Jan Ostrowski , Włodzimierz Piechocki , Tim Schmitz

Spherically symmetric, null dust clouds, like their time-like counterparts, may collapse classically into black holes or naked singularities depending on their initial conditions. We consider the Hamiltonian dynamics of the collapse of an…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Cenalo Vaz , Louis Witten , T. P. Singh

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 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

The independent dynamical variables of a collapsing homogeneous sphere of dust are canonically quantised and coupled equations describing matter (dust) and gravitation are obtained. The conditions for the validity of the adiabatic…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Roberto Casadio

We provide a covariant framework to study singularity-free Lema\^itre-Tolman-Bondi spacetimes with effective corrections motivated by loop quantum gravity. We show that, as in general relativity, physically reasonable energy distributions…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Asier Alonso-Bardaji , David Brizuela

The semiclassical collapse of a homogeneous sphere of dust is studied. After identifying the independent dynamical variables, the system is canonically quantised and coupled equations describing matter (dust) and gravitation are obtained.…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Roberto Casadio , Giovanni Venturi

Quantum gravity effects are likely to play a crucial role in determining the outcome of gravitational collapse during its final stages. In this contribution we will outline a canonical quantization of the LeMaitre-Tolman-Bondi models, which…

General Relativity and Quantum Cosmology · Physics 2011-12-01 Cenalo Vaz , Louis Witten

In a previous paper, some of us studied general relativistic homogeneous gravitational collapses for dust and radiation, in which the density profile was replaced by an effective density justified by some quantum gravity models. It was…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Yue Liu , Daniele Malafarina , Leonardo Modesto , Cosimo Bambi

We examine the gravitational collapse of spherically symmetric inhomogeneous dust in (2+1) dimensions, with cosmological constant. We obtain the analytical expressions for the interior metric. We match the solution to a vacuum exterior. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Sashideep Gutti

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

The full quantum mechanical collapse of a small relativistic dust shell is studied analytically, asymptotically and numerically starting from the exact finite dimensional classical reduced Hamiltonian recently derived by H\'aj{\'\i}\v{c}ek…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. Corichi , G. Cruz , A. Minzoni , P. Padilla , M Rosenbaum , M. P. Ryan , N. F. Smyth , T. Vukasinac

Dust configurations are the simplest models for astrophysical objects. Here we examine the gravitational collapse of an infinite cylinder of dust and give an analytic interior solution. Surprisingly, starting with a cylindrically symmetric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hennig , G. Neugebauer

We consider a spherical thick shell immersed in two different spherically symmetric space-times. Using the fact that the boundaries of the thick shell with two embedding space-times must be nonsingular hypersurfaces, we develop a scheme to…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Samad Khakshournia , Reza Mansouri
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