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arXiv · 2604.22585

Static Vacuum Spacetimes with $\Lambda<0$ as Attractors of the Ricci-Harmonic Flow

Rasmus Jouttijärvi·Klaus Kroencke·Louis Yudowitz
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Abstract

We prove dynamical stability and instability theorems for asymptotically hyperbolic static solutions of Einstein's equation with $\Lambda<0$, viewed as self-similar solutions of the Ricci-harmonic flow. More precisely, we show that static metrics are dynamically stable if and only if a positive mass type theorem holds for nearby metrics. Our key tool is a new variant of the expander entropy for the Ricci-harmonic flow.

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Rasmus Jouttijärvi, Klaus Kroencke, Louis Yudowitz. 2026-04-24. Static Vacuum Spacetimes with $\Lambda<0$ as Attractors of the Ricci-Harmonic Flow. https://arxiv.org/abs/2604.22585

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