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The quantum black hole model with a self-gravitating spherically symmetric thin dust shell as a source is considered. The shell Hamiltonian constraint is written and the corresponding Schroedinger equation is obtained. This equation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. A. Berezin , A. M. Boyarsky. A. Yu. Neronov

We studied the gravitational collapse of a shell of dust in shape dynamics. We found out static and oscillatory solutions. In the large momentum limit we found out that the shell never reaches the singularity when the momentum of the shell…

General Relativity and Quantum Cosmology · Physics 2018-04-10 Furkan Semih Dündar , Zahra Mirzaiyan , Metin Arik

We investigate the possibility that quantum effects responsible for black hole radiation do not allow for hori- zon crossing of gravitationally collapsing matter in a finite time as seen by distant observers. We consider this in the context…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

We describe the possible scenarios for the evolution of a thin spherically symmetric self-gravitating phantom shell around the Schwarzschild black hole. The general equations describing the motion of the shell with a general form of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Victor Berezin , Vyacheslav Dokuchaev , Yury Eroshenko , Alexei Smirnov

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum

This paper discusses the behavior of a rotating relativistic kinetic gas surrounding a Schwarzschild black hole. We are interested in the description and analysis of the morphology of the resulting configurations for kinetic gas clouds with…

General Relativity and Quantum Cosmology · Physics 2026-03-10 Carlos Gabarrete , Roger Raudales

We numerically study the dynamics of an imploding hollow cylinder composed of dust. Since there is no cylindrical black hole in 4-dimensional spacetime with physically reasonable energy conditions, a collapsed dust cylinder involves a naked…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Ken-ichi Nakao , Tomohiro Harada , Yasunari Kurita , Yoshiyuki Morisawa

We describe the ground state for a gravitationally collapsed ball of dust as the direct product of wavefunctions for dust particles distributed over an arbitrary number of nested layers. This allows us to estimate the expectation value of…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Roberto Casadio

Effective models inspired by loop quantum gravity typically resolve the central singularity by replacing it with a bounce of the matter density in the Planckian regime. In the specific model analyzed here, this bounce is generally followed…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Francesco Fazzini

Exact solutions of spherically symmetric black hole and gravitational wave are explored in $f(R)$ gravity in arbitrary dimension. We find two exact solutions for the radiation and absorption of null dust. In the framework of general…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Chunmei Liu , Hongsheng Zhang

Thin shells in general relativity can be used both as models of collapsing objects and as probes in the space-time outside compact sources. Therefore they provide a useful tool for the analysis of the final fate of collapsing matter and of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Roberto Casadio

We investigate gravitational collapse of a spherically symmetric thin shell in the Einstein-Gauss-Bonnet (EGB) gravity. Under the recently proposed 4D limit, we find that the collapsing shell will be bounced back at a small radius, without…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Yong-Ming Huang , Yu Tian , Xiao-Ning Wu

We construct the classification scheme for all possible evolution scenarios and find the corresponding global geometries for dynamics of a thin spherical vacuum shell in the Schwarzschild-de Sitter metric. This configuration is suitable for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. V. Chernov , V. I. Dokuchaev

We present a simple quantum description of the gravitational collapse of a ball of dust which excludes those states whose width is arbitrarily smaller than the gravitational radius of the matter source and supports the conclusion that black…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Roberto Casadio

The Schwarzschild black hole can be viewed as the special case of the marginally bound Lema\^\i tre-Tolman-Bondi models of dust collapse which corresponds to a constant mass function. We have presented a midi-superspace quantization of this…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Cenalo Vaz , Louis Witten

There are several possible choices of the time parameter for the canonical description of a self-gravitating thin shell, but quantum thories built on different time parameters lead to unitarily inequivalent descriptions. We compare the…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Cenalo Vaz

We compute the gravitational-wave signal generated by the radial infall of a stellar-mass black hole into a thin-shell Schwarzschild traversable wormhole. Modeling the black hole as a test particle, we derive analytic expressions for the…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Mohammad Nosherwan Malik , James B. Dent , William E. Gabella , Thomas W. Kephart

In three-dimensional AdS space, we consider the gravitational collapse of dust shell and then investigate the quantum radiation from the collapsing shell by employing the functional Schr\"odinger formalism. In the formation of the BTZ black…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Hwajin Eom , Wontae Kim

In the spirit of the Newtonian theory, we characterize spherically symmetric empty space in general relativity in terms of energy density measured by a static observer and convergence density experienced by null and timelike congruences. It…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Naresh Dadhich

The quantization of a spherically symmetric null shells is performed and extended to the framework of phase-space noncommutative (NC) quantum mechanics. The encountered properties are investigated making use of the Israel junction…

General Relativity and Quantum Cosmology · Physics 2018-06-13 P. Leal , A. E. Bernardini , O. Bertolami