The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition

Riku Kishida

In this paper, we focus on a marginally trapped submanifold $f:{\Sigma }^n\to M_1^{n+2}$ in a Lorentzian manifold $M_1^{n+2}$. We show that $f$ lies in a certain null hypersurface $\mathca…