Critical Phenomena in Gravitational Collapse: The Studies So Far

  title={Critical Phenomena in Gravitational Collapse: The Studies So Far},
  author={Anzhong Wang},
  journal={Brazilian Journal of Physics},
  • Anzhong Wang
  • Published 23 April 2001
  • Physics
  • Brazilian Journal of Physics
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 spherical symmetry and found some behaviour, which is quite similar to the critical phenomena well-known in Statistical Mechanics and Quantum Field Theory. Universality and echoing of the critical solution and power-law scaling of the black hole masses have given… 

Figures from this paper

Critical phenomena in gravitational collapses of neutron star systems

We study critical phenomena in gravitational collapses of stellar objects based on numerical solutions of the Einstein equations. We discovered that stellar objects with large kinetic energy

Multiple critical gravitational collapse of charged scalar with reflecting wall

In this paper, we present the results on the gravitational collapse of charged massless scalar field in asymptotically flat spacetime with a perfectly reflecting wall. Differing from previous works,

Critical collapse of the massless scalar field in axisymmetry

We present the results from a numerical study of critical gravitational collapse of axisymmetric distributions of massless scalar field energy. We find threshold behavior that can be described by the

Charged scalar gravitational collapse in de Sitter spacetime

We study the charged scalar collapse in de Sitter spacetimes. With the electric charge, there is one more competitor to join the competition of dynamics in the gravitational collapse. We find that

Cylindrical systems in general relativity

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over


Analytic spherically symmetric solutions of the Einstein field equations coupled with a perfect fluid and with self-similarities of the zeroth, first and second kinds, found recently by Benoit and


We study the evolution of an N-dimensional anisotropic fluid with kinematic self-similarity of the second kind and find a class of solutions to the Einstein field equations by assuming an equation of

Gravitational collapse of massless scalar field in $f(R)$ gravity

We study the spherically symmetric gravitational collapse of massless scalar matter field in asymptotic flat spacetime in the Starobinsky ${R}^{2}$ gravity, one specific model in the $f(R)$ gravity.

Critical behavior in a massless scalar field collapse with self-interaction potential

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.

Letter: Self-Similar Collapse of Scalar Field with Plane Symmetry

Plane symmetric self-similar solutions to Einstein's four-dimensional theory of gravity are studied and all such solutions are given analytically in closed form. The local and global properties of



Critical Behavior of Black Hole Formation in a Scalar Wave Collapse

Gravitational collapse is one of interesting phenomena in general relativity. In recent years, a large number of studies have been made on the dynamical behavior of a massless scalar field, in the

Critical collapse of collisionless matter: A numerical investigation

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

The (Unstable) threshold of black hole formation

In recent years it has become apparent that intriguing phenomenology exists at the threshold of black hole formation in a large class of general relativistic collapse models. This phenomenology,

Critical behavior and scaling in vacuum axisymmetric gravitational collapse.

A power law is found to relate black-hole mass (the order parameter) and critical separation and that of spherical scalar-field collapse, which is remarkably close to that observed by Choptuik.

Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes

The recent discovery of critical phenomena arising in gravitational collapse near the threshold of black-hole formation is used to estimate the initial mass function of primordial black holes (PBHs).

Critical Behavior in Gravitational Collapse of a Yang-Mills Field.

Results from a numerical study of spherically-symmetric collapse of a self-gravitating, SU(2) gauge field are presented, characterized by the superposition of both types of critical behaviour.

Black Hole Criticality in the Brans-Dicke Model.

The novel result that for a single matter model, adjustment of a coupling parameter transitions between two unique, dynamic, attracting critical solutions is presented.

Internal structure of black holes.

  • PoissonIsrael
  • Physics
    Physical review. D, Particles and fields
  • 1990
The gravitational effects associated with the radiative tail produced by a gravitational collapse with rotation are investigated. It is shown that the infinite blueshift of the tail's energy density

Quantum corrections to critical phenomena in gravitational collapse

We investigate conformally coupled quantum matter fields on spherically symmetric, continuously self-similar backgrounds. By exploiting the symmetry associated with the self-similarity the general

Boson stars driven to the brink of black hole formation

We present a study of black hole threshold phenomena for a self-gravitating, massive complex scalar field in spherical symmetry. We construct type I critical solutions dynamically by tuning a