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On limits of spacetimes -- a coordinate-free approach

F. M. Paiva·M. J. Rebouças·M. A. H. MacCallum
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Abstract

A coordinate-free approach to limits of spacetimes is developed. The limits of the Schwarzschild metric as the mass parameter tends to 0 or $\infty$ are studied, extending previous results. Besides the known Petrov type D and 0 limits, three vacuum plane-wave solutions of Petrov type N are found to be limits of the Schwarzschild spacetime.

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F. M. Paiva, M. J. Rebouças, M. A. H. MacCallum. 1993-02-05. On limits of spacetimes -- a coordinate-free approach. https://doi.org/10.1088/0264-9381%2F10%2F6%2F013

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