New examples of translating solitons in generalised Robertson--Walker geometries
Abstract
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.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Asian Journal of Mathematics
- Volume
- 29
- Issue
- 6
- Pages
- 711–732
- Publication date
- 1 January 2026
- Language
- EN