|DATE||February 28 (Thu), 2019|
|INSTITUTE||National University of Singapore|
|TITLE||[CMC Seminar] Emergence of Black Holes in General Relativity|
Black holes are predicted by Einstein's theory of general relativity, and now we have ample observational evidence for their existence. However theoretically there are many unanswered questions about how black holes come into being. In this talk, with tools from hyperbolic PDE, quasilinear elliptic equations and geometric analysis, we will prove that, through a nonlinear focusing effect, initially low-amplitude and diffused gravitational waves can give birth to a black hole region in our universe. This result extends the 1965 Penrose¡¯s singularity theorem and it also proves a conjecture of Ashtekar on black-hole thermodynamics.