# Critical Phenomena in Gravitational Collapse: The Studies So Far

@article{Wang2001CriticalPI, title={Critical Phenomena in Gravitational Collapse: The Studies So Far}, author={Anzhong Wang}, journal={Brazilian Journal of Physics}, year={2001}, volume={31}, pages={188-197} }

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…

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## References

SHOWING 1-10 OF 91 REFERENCES

### Critical Behavior of Black Hole Formation in a Scalar Wave Collapse

- Physics
- 1994

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

- Physics
- 1998

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

- Physics
- 1997

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.

- PhysicsPhysical review letters
- 1993

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

- Physics
- 1998

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.

- PhysicsPhysical review letters
- 1996

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.

- PhysicsPhysical review letters
- 1996

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.

- PhysicsPhysical 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

- Physics
- 1998

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

- Physics
- 2000

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…