Area bound for a surface in a strong gravity region
Area bound for a surface in a strong gravity region
For asymptotically flat spacetimes, using the inverse mean curvature flow, we show that any compact $2$-surface, $S_0$, whose mean curvature and its derivative for outward direction are positive in spacelike hypersurface with non-negative Ricci scalar satisfies the inequality $A_0 \leq 4 π(3Gm)^2$, where $A_0$ is the area of $S_0$ and …