Communications in Mathematical Physics

, Volume 13, Issue 3, pp 180–193 | Cite as

Limits of spacetimes

  • Robert Geroch


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Differential Geometry 
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Copyright information

© Springer-Verlag 1969

Authors and Affiliations

  • Robert Geroch
    • 1
  1. 1.Department of MathematicsBirkbeck CollegeLondonEngland

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