Kasner-like Behaviour in Spherically Symmetric Spacetimes
Time: 2023-12-04
Published By: He Liu
Speaker(s): Warren Li(Princeton University)
Time: 14:00-15:00 December 19, 2023
Venue: Room 9, Quan Zhai, BICMR
It is well-known from Hawking and Penrose that singularities are a feature of Einstein’s General Relativity, and there is much work on how they form and what they look like. For instance, Christodoulou showed for gravitational collapse of matter into a spherically symmetric black hole, spacetimes generally terminate at a so-called spacelike singularity at which curvature and matter quantities blow up.
Decades earlier, physicists Belinski, Khalatnikov and Lifshitz (BKL) initiated the heuristic study of general spacelike singularities, which we call Kasner-like singularities. Though they were more interested in cosmological singularities (e.g. the big bang), in this talk we present recent results showing a correspondence between the black hole interior singularities of Christodoulou and the work of BKL, via a more quantitative leading-order description of the blowup in Christodoulou’s model. By adding also electromagnetism, we show how various insights of BKL are seen in spherical symmetry.
