Classics Illustrated: Limits of Spacetimes

Abstract

We carefully study the $e\to m$ and $e\to 0$ limits of the Reissner-Nordström 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 $e\to m$ two distinct limits are studied.

23 pages, 13 figures

References in corpus (2)

• Isometric embeddings into the Minkowski space and new quasi-local mass
• Towards Realistic String Vacua From Branes At Singularities

Cited by in corpus (1)

• Singularity resolution by holonomy corrections: Spherical charged black holes in cosmological backgrounds