Graduate Seminar in Mathematics
Dr. Hari Kunduri,Memorial University
Friday, January 25, 20132:00p.m., HH-3017
Einstein Manifolds and Black Hole horizons
Abstract: Einstein metrics have constant Ricci curvature and arisenaturally in Riemannian geometry as critical points of a naturalvariational problem on closed manifolds. They also play animportant role in mathematical physics as solutions to the PDEsgoverning the gravitational field. I will review all the relevantaspects of Riemannian geometry and discuss some recent workon the construction of Einstein metrics on sphere bundles. I willalso explain how a similar set of geometries arise in the contextof the classification problem of black holes in general relativity.