5 problems

Let $(M,g,E,0)$ be a strongly asymptotically flat time-symmetric initial data set for the Einstein-Maxwell equations, with mass $m$ and horizon components having area radii $R_i$ a…

Let the initial data be for the Einstein–Maxwell equations, and let their maximal Cauchy development be the corresponding spacetime solution. Consider a suitable finite-codimension…

Let $(\mathcal{M},g_{ab},H_{ab})$ be a stationary Einstein-Maxwell space-time, where $\mathcal{M}$ is a four-dimensional orientable smooth manifold with Lorentzian metric $g_{ab}$,…

Let $(M,g,k,E)$ be a strongly asymptotically flat initial data set for the Einstein-Maxwell equations satisfying the charged dominant energy condition, with total mass $m$ and tota…

Let $(M,g,k,E)$ be a strongly asymptotically flat initial data set for the Einstein-Maxwell equations. The Dirac–Jang existence conjecture. The Dirac-Jang system has a solution…