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Classics Illustrated: Limits of Spacetimes

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arxiv 1406.4326 v2 pith:GP65NEZ4 submitted 2014-06-17 gr-qc

Ingemar Bengtsson , Sören Holst , Emma Jakobsson This is my paper · ORCID
classification gr-qc
keywords limitsrightarrowspacetimesanti-decarefullyclassicscorrectdefinition
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abstract

We carefully study the $e \rightarrow m$ and $e \rightarrow 0$ 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 $e \rightarrow m$ two distinct limits are studied.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The merger of a black hole with a cosmological horizon

    gr-qc 2024-12 conditional novelty 6.0 of 10

    A Schwarzschild-de Sitter black hole merging with an observer's cosmological horizon is solved exactly, and its zero-cosmological-constant limit is argued to reproduce the Emparan-Martinez infinite-mass-ratio merger, ...

  2. The extremal Reissner-Nordstr\"om throat from non extremal near horizon expansions

    hep-th 2026-07 accept novelty 5.0 of 10

    String Carroll first-order data miss the RN AdS2×S2 throat; second-order (EF) or all-order radial (static) terms restore it under near-extremal scaling.

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