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SUMMARY:Emergence of Apparent Horizon in General Relativity - Xinliang An 
 (National University of Singapore)
DTSTART:20190520T140000Z
DTEND:20190520T150000Z
UID:TALK123397@talks.cam.ac.uk
CONTACT:Ivan Moyano
DESCRIPTION:Black holes are predicted by Einstein's theory of general rela
 tivity\, 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\, qu
 asilinear elliptic equations and geometric analysis\, we will prove that\,
  through a nonlinear focusing effect\, initially low-amplitude and diffuse
 d gravitational waves can give birth to a trapped (black hole) region in o
 ur universe. This result extends the 2008 Christodoulou's monumental work 
 and it also proves a conjecture of Ashtekar on black-hole thermodynamics. 
 \n\n
LOCATION:CMS\, MR13
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