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Gravitational collapse is still poorly understood in the context of $f(R)$ theories of gravity, since the Oppenheimer-Snyder model is incompatible with their junction conditions. In this work, we will present a systematic approach to the…

General Relativity and Quantum Cosmology · Physics 2022-05-02 Adrián Casado-Turrión , Álvaro de la Cruz-Dombriz , Antonio Dobado

The final state of the gravitational collapse of a marginally bound dust cloud is formulated in terms of an existence problem for the non-linear differential equation governing radial null geodesics near the singular point. Rigorous results…

Mathematical Physics · Physics 2014-08-07 Roberto Giambo' , Giulio Magli

We study Oppenheimer-Snyder (OS) gravitational collapse matched to a general static, spherically symmetric exterior spacetime. Unlike the Schwarzschild case, two new features can arise in black holes with two horizons: an apparent-horizon…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Zhi-Chao Li , H. Khodabakhshi , H. Lu

We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy momentum tensor [Phys. Rev. D, 75, 024031 (2007)] to derive equations governing spherically symmetric distributions of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Lasky , Anthony Lun

There exist a correspondence between black holes in non linear electrodynamics (NLED) and gravitational collapse of homogeneous dust with semi-classical corrections in the strong curvature regime that to our knowledge has not been noticed…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Daniele Malafarina , Bobir Toshmatov

This article presents an effective quantum extension of the seminal Oppenheimer-Snyder (OS) collapse in which the singularity resolution is modeled using the effective dynamics of the spatially closed loop quantum cosmology. Imposing the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jibril Ben Achour , Jean-Philippe Uzan

We study gravitational collapse of a spherically symmetric inhomogeneous dust cloud in the Lovelock theory without cosmological constant. We show that the final fate of gravitational collapse in this theory depends on the spacetime…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Seiju Ohashi , Tetsuya Shiromizu , Sanjay Jhingan

In a recent paper we showed that the collapse to a black hole in one-parameter families of initial data for massless, minimally coupled scalar fields in spherically symmetric semi-classical loop quantum gravity exhibited a universal mass…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Florencia Benítez , Rodolfo Gambini , Steven L. Liebling , Jorge Pullin

We perform quantization of a model in which gravity is coupled to a circular dust shell in 2+1 spacetime dimensions. Canonical analysis shows that momentum space of this model is ADS^2-space, and the global chart for it is provided by the…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Alexander A. Andrianov , Yasser Elmahalawy , Artem Starodubtsev

We analyze the null geodesic equations in five dimensional spherically symmetric spacetime with collapsing inhomogeneous dust cloud. By using a new method, we prove the existence and non-existence of solutions to null geodesic equation…

General Relativity and Quantum Cosmology · Physics 2016-07-12 Ryosuke Mizuno , Seiju Ohashi , Tetsuya Shiromizu

We incorporate some corrections inspired by loop quantum gravity into the concept of gravitational collapse and propose a complete model of the dynamic process. The model carries the essence of a mass-independent upper bound on the…

General Relativity and Quantum Cosmology · Physics 2024-02-08 Shibendu Gupta Choudhury , Soumya Chakrabarti

We analyze here the structure of non-radial nonspacelike geodesics terminating in the past at a naked singularity formed as the end state of inhomogeneous dust collapse. The spectrum of outgoing nonspacelike null geodesics is examined…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. S. Deshingkar , P. S. Joshi , I. H. Dwivedi

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 consider the gravitational collapse of a spherically symmetric homogeneous matter distribution consisting of a Weyssenhoff fluid in the presence of a negative cosmological constant. Our aim is to investigate the effects of torsion and…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Amir Hadi Ziaie , Paulo Vargas Moniz , Arash Ranjbar , Hamid Reza Sepangi

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

In spherically symmetric charged dust, just like in electrically neutral dust, two kinds of singularity may be present: the Big Bang/Crunch (BB/BC) singularity, and shell crossings. Quite unlike in neutral dust, the BB/BC singularity may be…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Andrzej Krasinski , Krzysztof Bolejko

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

Formulating a dust filled spherically symmetric metric utilizing the 3+1 formalism for general relativity, we show that the metric coefficients are completely determined by the matter distribution throughout the spacetime. Furthermore, the…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Paul Lasky , Anthony Lun , Raymond Burston

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 investigate the spherically-symmetric gravitational collapse of a massless scalar field in the framework of a type-II minimally modified gravity theory called VCDM. This theory propagates only two local physical degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Atabak Fathe Jalali , Paul Martens , Shinji Mukohyama