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<title>Marie-Amélie Lawn — Neckpinch</title><link>https://neckpinch.com/authors/marie-amelie-lawn/</link><description>New arXiv papers by Marie-Amélie Lawn, from Neckpinch</description>
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<item><title>New Examples of Translating Solitons in Generalised Robertson-Walker Geometries</title><link>https://neckpinch.com/papers/2211.14529/</link><guid isPermaLink="false">arxiv:2211.14529</guid><pubDate>Sat, 26 Nov 2022 00:00:00 GMT</pubDate><description>Diego Artacho, Marie-Amélie Lawn, Miguel Ortega — Translators can be regarded as submanifolds which satisfy the mean curvature flow equation when evolving by translations along a distinguished vector field of the ambient space. We study translators in Generalised Robertson-Walker spacetimes, due to their importance as Lorentzian manifolds, and because they admit a natural conformal Killing timelike vector field carrying substantial geometric information, which will play the role of this translating vector field. We identify three one-parameter families of warping functions for which these objects exist. As a first example of this notion of translator, we classify the analogues of the classical Grim Reapers within this context.</description><category>Mean curvature flow</category><category>Self-shrinkers &amp; translators</category><category>Physics</category></item>
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