Critical Phenomena in Gravitational Collapse: The Studies So Far

Details Critical Phenomena in Gravitational Collapse: The Studies So Far Critical Phenomena in Gravitational Collapse: The Studies So Far

2001-04-23

arxiv.org/abs/gr-qc/0104073v1

Braz.J.Phys. 31 (2001) 188-197

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 figures, revtex. To appear in Braz. J. Phys. (2001)

Scientific paper

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 {\em Statistical Mechanics} and {\em Quantum Field Theory}. Universality and echoing of the critical solution and power-law scaling of the black hole masses have given rise to the name {\em Critical Phenomena in Gravitational Collapse}. Choptuik's results were soon confirmed both numerically and semi-analytically, and have extended to various other matter fields. In this paper, we shall give a brief introduction to this fascinating and relatively new area, and provides an updated publication list. An analytical "toy" model of critical collapse is presented, and some current investigations are given.

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