Classics Illustrated: Limits of Spacetimes

Emma Jakobsson; Ingemar Bengtsson; S\"oren Holst

Classics Illustrated: Limits of Spacetimes

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

Classics Illustrated: Limits of Spacetimes

Ingemar Bengtsson , S\"oren Holst , Emma Jakobsson This is my paper

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keywords limitsrightarrowspacetimesanti-decarefullyclassicscorrectdefinition

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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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