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Monday 02 November 2015, 15:00-16:00
Non-existence of time-periodic vacuum spacetimes in general relativity
- đ¤ Speaker: Volker Schlue (University Pierre et Marie Curie) đ Website
- đ Date & Time: Monday 02 November 2015, 15:00 - 16:00
- đ Venue: CMS, MR13
Abstract
In general relativity, it is expected that a gravitating system cannot display time-periodic dynamics. This is in contrast to Newton’s theory of gravity, which allows for periodic motion, and corresponding gravitational fields. I will explain how the development of certain uniqueness theorems for linear waves, obtained jointly with Spyros Alexakis and Arick Shao, has led to a proof that any asymptotically flat time-periodic solution to the Einstein equations must be time-independent, at least far away from the sources. Thus genuinely time-periodic vacuum spacetimes do not exist. I will relate the discussion to the so-called final state conjecture, and the soliton resolution conjecture for dispersive p.d.e.’s.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
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