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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…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Y. Oshiro , K. Nakamura , A. Tomimatsu

Studies of black hole formation from gravitational collapse have revealed interesting non-linear phenomena at the threshold of black hole formation. In particular, in 1993 Choptuik studied the collapse of a massless scalar field with…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Anzhong Wang

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

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…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stoytcho S. Yazadjiev

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,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Rufus S. Hamade , John M. Stewart

In the quest of the critical solution for scalar field collapse in 2+1 gravity with a negative cosmological constant, we present a one parameter family of solutions with continuous self similar (CSS) behaviour near the central singularity.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerard Clement , Alessandro Fabbri

We summarize results from a study of spherically symmetric collapse of a {\it charged} (complex) massless scalar-field \cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod , Tsvi Piran

We present a family of exact solutions, depending on two parameters $\alpha$ and $b$ (related to the scalar field strength), to the three-dimensional Einstein-scalar field equations with negative cosmological constant $\Lambda$. For $b=0$…

General Relativity and Quantum Cosmology · Physics 2016-02-25 Gérard Clément , Alessandro Fabbri

It is shown that there exists a range of parameters in which gravitational collapse with a spherically symmetric massive scalar field can be treated as if it were collapsing dust. This implies a criterion for the formation of black holes…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Sergio M. C. V. Goncalves , Ian G. Moss

We study critical behavior in the collapse of massive spherically symmetric scalar fields. We observe two distinct types of phase transition at the threshold of black hole formation. Type II phase transitions occur when the radial extent…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick R. Brady , Chris M. Chambers , Sergio M. C. V. Goncalves

We investigate non-spherically symmetric, scalar field collapse of a family of initial data consisting of a spherically symmetric profile with a deformation proportional to the real part of the spherical harmonic $Y_{21}(\theta,\varphi)$.…

General Relativity and Quantum Cosmology · Physics 2014-03-31 James Healy , Pablo Laguna

The formation of black holes or naked singularities is studied in a model in which a homogeneous time-dependent scalar field with an exponential potential couples to four dimensional gravity with negative cosmological constant. An analytic…

General Relativity and Quantum Cosmology · Physics 2015-06-10 R. Baier , Hiromichi Nishimura , S. A. Stricker

This paper continues a study on Choptuik scaling in gravitational collapse of a complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution,…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric W. Hirschmann , Douglas M. Eardley

We investigate numerically spherically symmetric collapse of a scalar field in the semi-classical approximation. We first verify that our code reproduces the critical phenomena (the Choptuik effect) in the classical limit and black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Shai Ayal , Tsvi Piran

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.…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Koushiki , Rituparno Goswami , Pankaj S. Joshi

We present the findings of an investigation of critical behavior in the collapse of spherically symmetric distributions of massive scalar field. Two distinct types of phase transition are observed at the verge of black hole formation and a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris M. Chambers , Patrick R. Brady , Sergio M. C. V. Goncalves

Homothetic scalar field collapse is considered in this article. By making a suitable choice of variables the equations are reduced to an autonomous system. Then using a combination of numerical and analytic techniques it is shown that there…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Patrick R Brady

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…

General Relativity and Quantum Cosmology · Physics 2018-08-27 S. Carneiro , J. C. Fabris

We extend Choptuik's scaling phenomenon found in general relativistic critical gravitational collapse of a massless scalar field to higher dimensions. We find that in the range 4 <= D <= 11 the behavior is qualitatively similar to that…

High Energy Physics - Theory · Physics 2009-11-11 Evgeny Sorkin , Yonatan Oren

By using a quasi-stationary approach, we consider the mass evolution of Schwarzschild black holes in the presence of a nonminimally coupled cosmological scalar field. The mass evolution equation is analytically solved for generic coupling,…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Manuela G. Rodrigues , Alberto Saa
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