Classics Illustrated: Limits of Spacetimes

Abstract

We carefully study the e → m and e → 0 limits of the Reissner-Nordstr\"om spacetime using Geroch's definition of limits of spacetimes. This is implemented by embedding the one-parameter family of spacetimes in anti-de Sitter space, and as a result we obtain metrically correct Penrose diagrams. For e → m two distinct limits are studied.

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