Instability of marginally outer trapped surfaces from initial data set symmetry

Abbas M. Sherif

Let $(\tilde{\hat{I}}\pounds ,h_{ab},K_{ab})$ be an initial data set and let $x^a$ be a symmetry vector of $\tilde{\hat{I}}\pounds$. Consider a MOTS $\mathcal{S}$ in $\tilde{\hat{I}}\pounds$ and let the symmetry vector be d…