Some remarks on the size of bodies and black holes

TL;DR

This paper explores how stable marginally outer trapped surfaces can be used to analyze the size of material bodies and black holes, extending previous results to more general initial data sets.

Contribution

It generalizes earlier findings by applying stable marginally outer trapped surfaces to broader initial data configurations beyond maximal or time-symmetric cases.

Findings

Extended size and area bounds to general initial data sets

Applied trapped surface techniques to material bodies and black holes

Broadened the scope of previous geometric inequalities

Abstract

We consider the application of stable marginally outer trapped surfaces to problems concerning the size of material bodies and the area of black holes. The results presented extend to general initial data sets (V,g,K) previous results assuming either maximal (tr K = 0) or time-symmetric (K = 0) initial data.