Isoperimetric problems for spacelike domains in generalized Robertson-Walker spaces

TL;DR

This paper proves an isoperimetric inequality for spacelike domains in generalized Robertson-Walker spaces using a constrained mean curvature flow under the null convergence condition.

Contribution

It introduces a novel application of a locally constrained mean curvature flow to establish isoperimetric inequalities in a specific geometric setting.

Findings

Proved the isoperimetric inequality for spacelike domains.

Applied the null convergence condition in the proof.

Utilized a locally constrained mean curvature flow technique.

Abstract

We use a locally constrained mean curvature flow to prove the isoperimetric inequality for spacelike domains in generalized Robertson-Walker spaces satisfying the null convergence condition.