Sailing, Magnetism and Stationary Spacetimes
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If you have a question about this talk, please contact Dr H K Kunduri.
I will introduce the classical optimal control problem, due to Zermelo, of a
boat navigating in a wind so as to reach a given point in the minimal time.
I shall present a solution, due to Shen, which maps the problem to the study
of a Finsler geometry related to charged particle motion in a magnetic
field. I will then demonstrate how these two related problems arise in the
study of null geodesics of stationary spacetimes, and show how the new
perspectives which arise are of interest both in the study of stationary
spacetimes, but also in the field of Finsler geometry.
This talk is part of the DAMTP Friday GR Seminar series.
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