Study session on static and stationary solutions to Einstein`s field equations
Scope of the session:
This session complements and ties together the lecture series of
Schoen, Friedrich, as well as the study session organized by Tod.
The session will be longer than the other ones because of the
importance of the topic, which will not be addressed directly in
the morning lectures due to lack of time. There will be talks
lasting from 30 to 45 minutes, and a discussion with a summary by
the organizer. The following topics will be covered:
Multi-black-hole configurations (G.Weinstein, University of
Alabama, Birmingham); Rotating black holes and disks as explicitly
solvable boundary value problems (G. Neugebauer, University of
Jena); Open problems in black-hole uniqueness
(P.Chrusciel, Tours); Stationary solutions and the conformal
constraints: (S.Dain, AEI Institute).
Abstract of R.Beig's lecture: In this talk I reviewed rigorous results concerning asymptotically flat,
time-independent solutions of the Einstein equations with sources
corresponding to static or uniformly rotating bodies. The matter
models discussed were perfect fluids and elastic solids.
Subject to a certain differential inequality on the equation of
state, it is known (Beig and Simon, Lindblom and Masood-ul-Alam)
that static perfect fluids are spherically symmetric. For
static elastic bodies (of arbitrary shape) there is an
existence theorem for ``small'' bodies, so far only for the Newtonian theory,
due to Beig and Schmidt. In the rotating case we reviewed
the results of Uwe Heilig which show the existence of
axisymmetric relativistic fluids for sufficiently small
angular velocity and compactness. For rotating elastica
nothing is known so far.
-
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)
slides (jpg.gz)
Beig's lecture
-
-
-
-
Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and R. Beig