숙명여자대학교 비교과통합관리시스템

제목: What happens inside a black hole?

초록: Black holes are perhaps the most celebrated predictions of general
 relativity. Miraculously, these complicated spacetimes arise as
 explicit (i.e., an exact expression can be written down!) solutions to
 the vacuum Einstein equation. Looking these explicit black hole
 solutions leads to an intriguing observation: While the black hole
 exterior look qualitatively similar for every realistic black hole,
 the structure of the interior, in particular the nature of the
 `singularity' inside the black hole, changes drastically depending on
 whether the black hole is spinning (Kerr) or not (Schwarzschild). A
 proposed picture for what happens in general is the so-called strong
 cosmic censorship conjecture of R. Penrose, which is a central
 conjecture in general relativity.

 In this colloquium, I will give a short introduction to general
 relativity and explain the notion of a black hole spacetime. Then I
 will describe my recent joint work with J. Luk (Stanford Univ.), where
 we rigorously establish a version of strong cosmic censorship for the
 Einstein-Maxwell-(real)-scalar-field system in spherical symmetry,
 which has long been studied by physicists and mathematicians as a
 model problem for the conjecture.