Extremal black holes in strong magnetic fields: Near-horizon geometries and Meissner effect

Abstract

For extremal black holes, one can construct simpler, limiting spacetimes that describe the geometry near degenerate horizons. Since these spacetimes are known to have enhanced symmetry, the limiting objects coincide for different solutions.

We show that this occurs for strongly magnetised Kerr-Newman solution, and how this is related to the Meissner effect of expulsion of magnetic fields from extremal black holes.

Keywords

• general relativity
• black holes
• strong magnetic fields
• near-horizon limit
• Meissner effect