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

Key Points

• The aim is to explore the properties of marginally trapped submanifolds in Lorentzian manifolds that meet the null energy condition.
• Investigated the relationship between marginally trapped submanifolds and null hypersurfaces
• Demonstrated volume-maximizing features under the null energy condition
• Marginally trapped submanifolds lie on null hypersurfaces within the Lorentzian manifold
• Volume-maximizing property holds for these submanifolds when the null energy condition is satisfied