论文标题
在广义的罗伯逊 - 步行者几何形状中翻译孤子
Translating Solitons in Generalised Robertson-Walker Geometries
论文作者
论文摘要
我们概括了在广义的Robertson-Walker Sapcetimes中翻译孤子的概念,后者配备了自然的保形杀死时间样的矢量领域。我们将这些物体存在的三个单参数家族归为翘曲功能,并为一个大型的Riemannian纤维家族完全分类了相应的Grim收割机 - 翻译不变的孤子。
We generalise the notion of translating solitons in Generalised Robertson-Walker sapcetimes, which come equipped with a natural conformal Killing time-like vector field. We single out three one-parameter families of warping functions for which these objects exist, and we fully classify the corresponding Grim Reapers -- translation-invariant solitons -- for a large family of Riemannian fibres.