Geometry Colloquium

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.)

2013/12/05

10:00-11:30   Room #122 (Graduate School of Math. Sci. Bldg.)
Sumio Yamada (Gakushuin University)
Variational characterizations of exact solutions of the Einstein equation (JAPANESE)
[ Abstract ]
There are a set of well-known exact solutions to the Einstein equation. The most important one is the Schwarzschild metric, and it models a Ricci-flat space-time, which is asymptotically flat. In addition, there are the Reissner-Nordstrom metric and the Majumdar-Papapetrou metric, which satisfy the Einstein-Maxwell equation, instead of the vacuum Einstein equation. In a jointwork with Marcus Khuri and Gilbert Weinstein, it is shown that those metrics are characterized as the equality
cases of a set of so-called Penrose-type inequalities. The method of proof is a
conformal deformation of Riemannian metrics defined on the space-like slice of the space-time.