Regularity near the axis for axially symmetric stationary electro-vaccum space-times

Thu, 19/11/2009
12:30
Luc Nguyen (University of Oxford) OxPDE Lunchtime Seminar Add to calendar Gibson 1st Floor SR
According to the Ernst-Geroch reduction, in an axially symmetric stationary electrovac spacetime, the Einstein-Maxwell equations reduce to a harmonic map problem with singular boundary data. I will discuss the “regularity” of the reduced harmonic maps near the boundary and its implication on the regularity of the corresponding spacetimes.