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 relativity

Add to your list(s) Download to your calendar using vCal

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity