Abstract
The limits of a one-parameter family of spacetimes are defined, and the properties of such limits discussed. The definition is applied to an investigation of the Schwarzschild solution as a limit of the Reissner-Nordström solution as the charge parameter goes to zero. Two new techniques — rigidity of a geometrical structure and Killing transport — are introduced. Several applications of these two subjects, both to limits and to certain other questions in differential geometry, are discussed.
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Geroch, R. Limits of spacetimes. Commun.Math. Phys. 13, 180–193 (1969). https://doi.org/10.1007/BF01645486
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DOI: https://doi.org/10.1007/BF01645486