Black hole Meissner effect and entanglement

Understand

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.