During the Fall 2018 Semester, a weekly seminar will be held on General Relativity. The seminar will take place at 2:00 pm in CMSA G02.
The schedule will be updated below.
Date  Speaker  Title/abstract 
9/7/2018  Christos Mantoulidis (MIT)  Title: Capacity and quasilocal mass
Abstract. This talk is based on work with P. Miao and L.F. Tam. We derive new inequalities between the boundary capacity of an asymptotically flat 3manifold with nonnegative scalar curvature and boundary quantities that relate to quasilocal mass; one relates to BrownYork mass and the other is new. Among other things, our work yields new variational characterizations of Riemannian Schwarzschild manifolds and new comparison results for surfaces in them. 
9/12/2018  Aghil Alaee (CMSA)  Title: Massangular momentum inequality for black holes
Abstract: In this talk, I will review the results of massangular momentum inequality for fourdimensional axisymmetric black holes. Then I will establish versions of this inequality for fivedimensional black holes and in particular black ring, which is the most intriguing asymptotically flat solution of vacuum Einstein equations. Moreover, I will show these inequalities are sharp if and only if the initial data sets are isometric to the canonical slices of known extreme stationary solutions. These results are joint work with Marcus Khuri and Hari Kunduri. 
9/19/2018
11:00am 
PeiKen Hung (MIT)

Title: The linear stability of the Schwarzschild spacetime in the harmonic gauge: odd part Abstract: We study the odd solution of the linearlized Einstein equation on the Schwarzschild background and in the harmonic gauge. With the aid of ReggeWheeler quantities, we are able to estimate the odd part of Lichnerowicz d’Alembertian equation. In particular, we prove the solution decays at rate $\tau^{1+\delta}$ to a linearlized Kerr solution. 