Some rigidity results for charged initial data sets

TL;DR

This paper explores rigidity properties of charged initial data sets in general relativity, focusing on marginally outer trapped surfaces (MOTS), which are key in black hole theory and analogous to minimal surfaces.

Contribution

It extends previous rigidity results to include initial data sets with charge, advancing understanding of MOTS in charged spacetimes.

Findings

Rigidity results for charged MOTS

Extension of minimal surface analogies to charged cases

Implications for black hole initial data

Abstract

In this note, we consider some initial data rigidity results concerning marginally outer trapped surfaces (MOTS). As is well known, MOTS play an important role in the theory of black holes and, at the same time, are interesting spacetime analogues of minimal surfaces in Riemannian geometry. The main results presented here expand upon earlier works by the authors, specifically addressing initial data sets incorporating charge.