Self-Similar Solutions, Critical Behavior and Convergence to Attractor in Gravitational Collapse

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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14 pages, invited review talk given at the 12th Workshop on General Relativity and Gravitation, Nov 25-28, 2002, Tokyo, Japan

Scientific paper

General relativity as well as Newtonian gravity admits self-similar solutions
due to its scale-invariance. This is a review on these self-similar solutions
and their relevance to gravitational collapse. In particular, our attention is
mainly paid on the crucial role of self-similar solutions in the critical
behavior and attraction in gravitational collapse.

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