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University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Non-existence of time-periodic vacuum spacetimes in general relativity

## Non-existence of time-periodic vacuum spacetimes in general relativityAdd to your list(s) Download to your calendar using vCal - Volker Schlue (University Pierre et Marie Curie)
- Monday 02 November 2015, 15:00-16:00
- CMS, MR13.
If you have a question about this talk, please contact Harsha Hutridurga. 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. This talk is part of the Geometric Analysis and Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
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