Black hole Meissner effect and entanglement

TL;DR

This paper explores the connection between the black hole Meissner effect, which expels fields from extremal black holes, and quantum entanglement, deriving the effect from two-point functions and discussing its broader implications.

Contribution

It establishes a direct link between the black hole Meissner effect and entanglement, deriving the effect from low temperature two-point functions in the Hartle-Hawking vacuum.

Findings

Derived the black hole Meissner effect from two-point functions.

Presented new examples of the black hole Meissner effect.

Discussed applications to astrophysics and gauge invariance.

Abstract

Extremal black holes tend to expel magnetic and electric fields. Fields are unable to reach the horizon because the length of the black hole throat blows up in the extremal limit. The length of the throat is related to the amount of entanglement between modes on either side of the horizon. So it is natural to try to relate the black hole Meissner effect to entanglement. We derive the black hole Meissner effect directly from the low temperature limit of two-point functions in the Hartle-Hawking vacuum. Then we discuss several new examples of the black hole Meissner effect, its applications to astrophysics, and its relationship to gauge invariance.