2009
Singularities and self-similarity in gravitational collapse
NONCOMMUTATIVITY AND SINGULARITIES: PROCEEDINGS OF FRENCH-JAPANESE SYMPOSIA HELD AT IHES IN 2006
- Volume
- 55
- Number
- First page
- 15
- Last page
- 30
- Language
- English
- Publishing type
- Research paper (international conference proceedings)
- Publisher
- MATH SOC JAPAN
Einstein's field equations in general relativity admit a variety of solutions with spacetime singularities. Numerical relativity has recently revealed the properties of somewhat generic spacetime singularities. It has been found that in a variety of systems self-similar solutions can describe asymptotic or intermediate behaviour of more general solutions in an approach to singularities. The typical example is the convergence to an attractor self-similar solution in gravitational collapse. This is closely related to the cosmic censorship violation in the spherically symmetric collapse of a perfect fluid. The self-similar solution also plays an important role in critical phenomena in gravitational collapse. The critical phenomena are understood as the intermediate behaviour around a critical self-similar solution. We see that the convergence and critical phenomena are understood in a unified manner in terms of attractors of codimension zero and one, respectively, in renormalisation group flow.
- Link information
- ID information
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- Web of Science ID : WOS:000281845600002