2 problems

Characteristic gluing conjecture. The data $x_1$ can be $C^k_u C^\infty_{(r,x^A)}$-glued to data induced on a deformation of $\mathbf S_2$ within a nearby member of $\mathcal F$.

Vacuum Schwarzschild-to-Kerr characteristic gluing conjecture. The Schwarzschild symmetry sphere of mass $M_i$ and radius $R_i$ can be characteristically glued to any such non-anti…