Mathematics Colloquia and Seminars
On the strong cosmic censorship conjecture in general relativityColloquium
|Speaker:||Sung-Jin Oh, Korea Institute for Advanced Study|
|Start time:||Fri, Jan 19 2018, 4:10PM|
An intriguing feature of the explicit charged (Reissner--Nordstrom) or spinning (Kerr) black hole spacetimes is the existence of a regular Cauchy horizon, beyond which the Einstein equation loses its predictive power. The strong cosmic censorship conjecture of Penrose is a bold claim that, nevertheless, such a pathological behavior is nongeneric.
In this lecture, I will give a short introduction to general relativity and the strong cosmic censorship conjecture. Then I will describe my recent joint work with J. Luk (Stanford Univ.), where we rigorously establish a version of this conjecture for the Einstein-Maxwell-(real)-scalar
-field system in spherical symmetry, which has long been studied by physicists and mathematicians as a useful model for this problem.