3 problems

Define the bounded-motion region … where $R$ is the Kerr radial potential, $r^*$ is the local maximum of $-R$, and $r_*$ is the local minimum of $-R$ to its right. Generic Kerr bou…

Let $N_\varepsilon$ be the perturbed normally hyperbolic invariant manifold associated with the Kerr photon shell, and let $(a,M,E,Q,L_z)$ satisfy the conditions in assumption (2)…

Let vacuum Cauchy data be sufficiently near data corresponding to a subextremal Kerr metric $g_{a_0,M_0}$ with $|a_0|<M_0$, and let $(\mathcal{M},g)$ be the associated maximal vacu…