Session S19 - Geometric and Analytic Aspects of General Relativity

Wednesday, July 21, 16:00 ~ 17:00 UTC-3

Lower Bounds for the Total Mass in 3-Dimensions

Marcus Khuri

Stony Brook University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We provide lower bounds for the total mass of 3-dimensional initial data sets that is based on (spacetime) harmonic functions. The technique works for both the asymptotically flat and asymptotically hyperboloidal settings. These bounds are valid without the assumption of nonnegative scalar curvature or the dominant energy condition. However, if the energy condition is assumed then the result yields a new proof of the positive mass theorem.

View abstract PDF