On the Entropy Cone for Large Regions at Late Times

TL;DR

This paper demonstrates that holographic entanglement entropy inequalities applicable at constant times extend to large regions and late times in dynamic spacetimes with black branes, using a simplified membrane theory approach.

Contribution

It extends the validity of holographic entanglement entropy inequalities to more general covariant spacetimes with collapsing black branes.

Findings

Holographic entropy inequalities hold for large regions at late times.

The simplified membrane theory effectively computes entropy in dynamic spacetimes.

Results generalize previous static time slice findings.

Abstract

In this note we show that the holographic entanglement entropy inequalities that hold for constant time slices are also valid for large regions and times in covariant spacetimes containing collapsing black branes, where the leading part of the entropy is computed by the simplified membrane theory of arXiv:1803.10244.