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In recent years the threshold of black hole formation in spherically symmetric gravitational collapse has been studied for a variety of matter models. In this paper the corresponding issue is investigated for a matter model significantly…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Gerhard Rein , Alan D. Rendall , Jack Schaeffer

We examine a one-parameter family of analytical solutions representing spherically symmetric collapse of a nonlinear massless scalar field with self-interaction in an asymptotically flat spacetime. The time evolution exhibits a type of…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Xuefeng Zhang , H. Lu

Continuously self-similar solution of spherically symmetric gravitational collapse of a scalar field is studied to investigate quantum mechanical black hole formation by tunneling in the subcritical case where, classically, the collapse…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Dongsu Bak , Sang Pyo kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

In this work we have used for the first time pseudo-spectral methods to perform numerical simulations of spherically symmetric black hole formations on a Friedman-Robertson-Walker universe. With these methods, the differential equations…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Albert Escrivà

We study the singularity created in the supercritical collapse of a spherical massless scalar field. We first model the geometry and the scalar field to be homogeneous, and find a generic solution (in terms of a formal series expansion)…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lior M. Burko

We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti de-Sitter (AdS) spacetime. The geometry…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Frans Pretorius , Matthew W. Choptuik

We examine spherical gravitational collapse of a matter model with vanishing radial pressure and non-zero tangential pressure. It is seen analytically that the collapsing cloud either forms a black hole or disperses depending on values of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ashutosh Mahajan , Pankaj S. Joshi

We present a first-principles CFT calculation corresponding to the spherical collapse of a shell of matter in three dimensional quantum gravity. In field theory terms, we describe the equilibration process, from early times to…

High Energy Physics - Theory · Physics 2017-03-28 Tarek Anous , Thomas Hartman , Antonin Rovai , Julian Sonner

Most general relativity textbooks devote considerable space to the simplest example of a black hole containing a singularity, the Schwarzschild geometry. However only a few discuss the dynamical process of gravitational collapse, by which…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. J. Adler , J. D. Bjorken , P. Chen , J. S. Liu

Phase transition in spherically symmetric collapse of a massless scalar field is studied in 4-d Einstein gravity. A class of exact solutions that show the evolution of a constant incoming energy flux turned on at a point in the past null…

High Energy Physics - Theory · Physics 2007-05-23 Youngjai Kiem

Critical collapse of a massless scalar field in spherical symmetry is systematically studied. We combine numerical simulations and asymptotic analysis, and synthesize critical collapse, spacetime singularities, and complex science. First…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Jun-Qi Guo , Hongsheng Zhang

We perform dynamical and nonlinear numerical simulations to study critical phenomena in the gravitational collapse of massless scalar fields in the absence of spherical symmetry. We evolve axisymmetric sets of initial data and examine the…

General Relativity and Quantum Cosmology · Physics 2019-02-18 Thomas W. Baumgarte

In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

We report on a numerical study of gravitational waves undergoing gravitational collapse due to their self-interaction. We consider several families of asymptotically flat initial data which, similar to the well known Choptuik's discovery,…

General Relativity and Quantum Cosmology · Physics 2022-07-26 Tomáš Ledvinka , Anton Khirnov

We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry show discretely self-similar (DSS)…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Sascha Husa , Christiane Lechner , Michael Pürrer , Jonathan Thornburg , Peter C. Aichelburg

Critical collapse of a spherically symmetric domain wall is investigated. The domain wall is made of a minimally coupled scalar field with a double well potential. We consider a sequence of the initial data which describe a momentarily…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Taishi Ikeda , Chul-Moon Yoo

Primordial black holes, which could have been formed in the very early Universe due to the collapse of large curvature fluctuations, are nowadays one of the most attractive and fascinating research areas in cosmology for their possible…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Albert Escrivà

We study numerically the collapse of massless scalar fields in two-dimensional dilaton gravity, both classically and semiclassically. At the classical level, we find that the black hole mass scales at threshold like $M_{\rm bh} \propto…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Yoav Peleg , Sukanta Bose , Leonard Parker

We numerically study the primordial black hole (PBH) formation by an isocurvature perturbation of a massless scalar field on super Hubble scales in the radiation-dominated universe. As a first step we perform simulations of spherically…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Chul-Moon Yoo , Tomohiro Harada , Shin'ichi Hirano , Hirotada Okawa , Misao Sasaki

The aim of the present letter is to explain the `critical behaviour' observed in numerical studies of spherically symmetric gravitational collaps of a perfect fluid. A simple expression results for the critical index $\gamma$ of the black…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Dieter Maison