3 problems

Generalized charged Penrose conjecture. The ADM mass should satisfy

Let $M$ and $Q$ denote the mass and charge of an evaporating charged black hole or white hole, respectively. Extremality is approached as $Q/M$ tends to $1$. Near-extremal evaporat…

Let $\mathcal{Q}^+$ be the quotient spacetime, $\mathcal{I}^+$ future null infinity, and let the black-hole asymptotic charge mean the limiting charge appearing in the model. Nonze…