Explicit self-similar solutions of time-like extremal hypersurfaces in $\mathbb{R}^{1+3}$
Analysis of PDEs
2017-10-03 v2 Differential Geometry
Abstract
In this letter, two explicit self-similar solutions to a graph representation of time-like extremal hypersurfaces in Minkowski spacetime are given. Meanwhile, there is an untable eigenvalue in the linearized time-like extremal hypersurfaces equation around two explicit self-similar solutions.
Keywords
Cite
@article{arxiv.1708.06289,
title = {Explicit self-similar solutions of time-like extremal hypersurfaces in $\mathbb{R}^{1+3}$},
author = {Weiping Yan},
journal= {arXiv preprint arXiv:1708.06289},
year = {2017}
}
Comments
5page, correct some English errors, and add four references. This letter is one of parts in our paper [12]