Title: Studying singularities through numerical models
Abstract:
This talk on numerical simulations of singularities is essentially
two mini review talks on the subjects of (i) the asymptotic behavior
of the metric as a singularity is approached and (ii) critical
gravitational collapse. As a singularity is approached it may be that
some of the terms in the Einstein field equation become negligible and
the
behavior of the metric simplifies. Numerical simulations of the field
equations are performed to see whether this sort of behavior occurs.
Critical collapse is the study of gravitational collapse at the
threshold of black hole formation. It has been found numerically that
near the threshold, the mass of the black hole formed (as well as other
geometric quantities) obeys a scaling relation similar to that of
quantities in a phase transition. Furthermore, exactly at the threshold
of black hole formation the critical solution has a (continuous or
discrete) self-similarity.
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Streaming audio, video and slides
Streaming
audio and slides
video (Real
Player, ~ 15 Mo)
audio (Real
Player, ~ 15 Mo)
slides (pdf)
slides (ps)
slides (dvi)
slides (tex)
Garfinkle's lecture
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Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and D. Garfinkle