Explicit self-similar solutions of time-like extremal hypersurfaces in $\mathbb{R}^{1+3}$

Weiping Yan

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arXiv · 1708.06289

Explicit self-similar solutions of time-like extremal hypersurfaces in $\mathbb{R}^{1+3}$

Weiping Yan

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Abstract

In this letter, two explicit self-similar solutions to a graph representation of time-like extremal hypersurfaces in Minkowski spacetime $\mathbb{R}^{1+3}$ are given. Meanwhile, there is an untable eigenvalue in the linearized time-like extremal hypersurfaces equation around two explicit self-similar solutions.

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Weiping Yan. 2017-08-21. Explicit self-similar solutions of time-like extremal hypersurfaces in $\mathbb{R}^{1+3}$. https://arxiv.org/abs/1708.06289

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