Separable motions for self-gravitating hyperelastic matter

Juhi Jang; Trevor M. Leslie

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arXiv · 2506.02278

Separable motions for self-gravitating hyperelastic matter

Juhi Jang·Trevor M. Leslie

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Abstract

In this paper, we prove the existence of separable solutions to the equations of motion for self-gravitating hyperelastic matter, under an appropriate class of constitutive assumptions on the strain-energy function. Our framework includes both global-in-time solutions which expand and also solutions which collapse to a point in finite time. Other authors have constructed expanding solutions in similar settings, but to the best of our knowledge, the collapsing solutions we construct are completely new.

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Juhi Jang, Trevor M. Leslie. 2025-06-02. Separable motions for self-gravitating hyperelastic matter. https://arxiv.org/abs/2506.02278

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