University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Emergence of Apparent Horizon in General Relativity

Emergence of Apparent Horizon in General Relativity

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  • UserXinliang An (National University of Singapore)
  • ClockMonday 20 May 2019, 15:00-16:00
  • HouseCMS, MR13.

If you have a question about this talk, please contact Ivan Moyano.

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 trapped (black hole) region in our universe. This result extends the 2008 Christodoulou’s monumental work and it also proves a conjecture of Ashtekar on black-hole thermodynamics.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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