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كما كتبه المؤلفون، بالإنجليزية arXiv:2607.03128

Let $$\{\Sigma_t\}$$ be a spacelike foliation of a spacetime $$\mathcal{M}$$, and suppose each $$\Sigma_t$$ is foliated by 2-surfaces $$\mathcal{S}$$ with spacelike unit normal in $$\Sigma_t$$. We show that under mild energy conditions, a MOTS $$\mathcal{S}$$ that intersects integral curves of past-pointing conformal Killing vector field lying in the normal space of $$\mathcal{S}$$ is strictly stable and evolves smoothly to a spacelike horizon. We also show that if the restriction of the divergence of the vector field to $$\mathcal{S}$$ is non-negative, $$\mathcal{S}$$ is unstable, and if negative and $$\mathcal{S}$$ is a 2-sphere, $$\mathcal{S}$$ must be strictly stable.