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General Relativity and Gravitation

, Volume 1, Issue 3, pp 269–280 | Cite as

A new definition of singular points in general relativity

  • B. G. Schmidt
Article

Abstract

To any space time a boundary is attached on which incomplete geodesics terminate as well as inextensible timelike curves of finite length and bounded acceleration. The construction is free ofad hoc assumptions concerning the topology of the boundary and the identification of curves defining the same boundary point. Moreover it is a direct generalization of the Cauchy completion of positive definite Riemannian spaces.

Keywords

General Relativity Singular Point Boundary Point Differential Geometry Space Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Company Limited 1971

Authors and Affiliations

  • B. G. Schmidt
    • 1
  1. 1.Institut für Theoretische PhysikUniversität HamburgDeutschland

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