Title: Introduction to the Einstein constraint equations
Abstract:
This lecture describes the geometric origin of the constraint equations,
and demonstrates their importance in applications. These include the
proof of local existence for the wave-reduced Einstein equations, and
the structure of the ADM Hamiltonian form of the evolution equations.
Techniques for constructing solutions of the constraints are summarized,
and the relation between the 2nd variation forumula of minimal surface
theory and the quasi-spherical construction of solutions of the
constraints is described.
Streaming audio, video and slides
Streaming
audio and slides
video (Real
Player, ~ 15 Mo)
audio (Real
Player, 8-15 Mo)
slides (pdf)
slides (ps)
slides (dvi)
slides (tex)
Bartnik's lecture
-
-
Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and R. Bartnik