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We present a self-similar model of spherically symmetric collapse of a massless scalar field with a parameter $p$. The black hole formation is explicitly shown to occur only in the strong-field implosion of $p >1$. The field evolution in…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Y. Oshiro , K. Nakamura , A. Tomimatsu

Several classes of conformally-flat and spherically symmetric exact solutions to the Einstein field equations coupled with either a massless scalar field or a radiation fluid are given, and their main properties are studied. It is found…

广义相对论与量子宇宙学 · 物理学 2009-07-07 Anzhong Wang , J. F. Villas da Rocha , N. O. Santos

Consider any 1-parameter family of initial data such that data with parameter value p > p* form black holes, and data with p < p* do not. As p -> p* from above ("critical collapse"), the black hole mass scales as M ~ (p-p*)^gamma, where the…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Carsten Gundlach , Jose M. Martin-Garcia

We present new analytical self-similar solutions describing a collapse of a massless scalar field in scalar-tensor theories. The solutions exhibit a type of critical behavior. The black hole mass for the near critical evolution is…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Stoytcho S. Yazadjiev

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…

广义相对论与量子宇宙学 · 物理学 2015-03-05 Xuefeng Zhang , H. Lu

With a suitable decomposition of its energy-momentum tensor into pressureless matter and a vacuum type term, we investigate the spherical gravitational collapse of a minimally coupled, self-interacting scalar field, showing that it…

广义相对论与量子宇宙学 · 物理学 2018-08-27 S. Carneiro , J. C. Fabris

We give an approach to studying the critical behaviour that has been observed in numerical studies of gravitational collapse. These studies suggest, among other things, that black holes initially form with infinitesimal mass. We show…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Viqar Husain , Erik A. Martinez , Dario Nunez

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…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Dieter Maison

An axisymmetric collapse of non-rotating gravitational waves is numerically investigated in the subcritical regime where no black holes form but where curvature attains a maximum and decreases, following the dispersion of the initial wave…

广义相对论与量子宇宙学 · 物理学 2011-01-17 Evgeny Sorkin

We investigate the gravitational collapse of a spherically symmetric, perfect fluid with equation of state P = (Gamma -1)rho. We restrict attention to the ultrarelativistic (``kinetic-energy-dominated'', ``scale-free'') limit where black…

广义相对论与量子宇宙学 · 物理学 2014-11-17 David W. Neilsen , Matthew W. Choptuik

We report a new black hole scalarization mechanism and disclose novel dynamical critical phenomena in the process of the nonlinear accretion of the scalar field into black holes. The accretion process can transform a seed black hole into a…

广义相对论与量子宇宙学 · 物理学 2022-04-25 Cheng-Yong Zhang , Qian Chen , Yunqi Liu , Wen-Kun Luo , Yu Tian , Bin Wang

In this paper, we observe the collapse of a mass-less scalar field covariantly. We show that the strengths of the collapsing and dispersing modes of this scalar field will decide whether the collapse will end up in a black-hole or disperse.…

广义相对论与量子宇宙学 · 物理学 2025-12-25 Koushiki , Rituparno Goswami , Pankaj S. Joshi

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…

广义相对论与量子宇宙学 · 物理学 2019-07-30 Jun-Qi Guo , Hongsheng Zhang

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Ashutosh Mahajan , Pankaj S. Joshi

We study the gravitational collapse of two thin shells of matter, in asymptotically flat spacetime or constrained to move within a spherical box. We show that this simple two-body system has surprisingly rich dynamics, which includes prompt…

广义相对论与量子宇宙学 · 物理学 2016-04-27 Vitor Cardoso , Jorge V. Rocha

Numerical studies of the gravitational collapse of a stiff (P=rho) fluid have found the now familiar critical phenomena, namely scaling of the black hole mass with a critical exponent and continuous self-similarity at the threshold of black…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Patrick R. Brady , Matthew W. Choptuik , Carsten Gundlach , David W. Neilsen

We investigate the dynamics of black hole critical collapse in the limit of a large number of spacetime dimensions, $D$. In particular, we study the spherical gravitational collapse of a massless, scale-invariant scalar field with…

高能物理 - 理论 · 物理学 2025-11-10 Craig R. Clark , Guilherme L. Pimentel

We study critical phenomena in the collapse of rotating ultrarelativistic perfect fluids, in which the pressure $P$ is related to the total energy density $\rho$ by $P=\kappa\rho$, with $\kappa$ a constant. We generalize earlier results for…

广义相对论与量子宇宙学 · 物理学 2018-03-14 Carsten Gundlach , Thomas W. Baumgarte

In general relativity black holes can be formed from regular initial data that do not contain a black hole already. The space of regular initial data for general relativity therefore splits naturally into two halves: data that form a black…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Carsten Gundlach

We report on a numerical study of the spherically symmetric collapse of a self-gravitating massless scalar field. Earlier results of Choptuik(1992, 1994) are confirmed. The field either disperses to infinity or collapses to a black hole,…

广义相对论与量子宇宙学 · 物理学 2010-11-19 Rufus S. Hamade , John M. Stewart
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