##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Sung-Jin Oh, CMC Research Professor

#### KIAS, Seoul

## On the strong cosmic censorship conjecture in general relativity

##### Abstract:

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, 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.

Host: Ioan Bejenaru

### January 17, 2018

### 3:00 PM

### AP&M 6402

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