Speaker: 

Po-Ning Chen

Institution: 

Columbia University

Time: 

Tuesday, November 10, 2015 - 4:00pm

Location: 

RH 306

In this talk, we discuss how to define the quasi-local conserved
quantities, the mass, angular momentum and center of mass, for a
finitely extended region in a spacetime satisfying the Einstein
equation. We start with the quasi-local mass and its properties and
then use the results to define other conserved quantities. As a
further application, we use the limit of the quasi-local conserved
quantities to define total conserved quantities of asymptotically flat
spacetimes at both the spatial and the null infinity and study the
variation of these quantities under the Einstein equation.