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General Relativity and Gravitation

, Volume 32, Issue 10, pp 2079–2090 | Cite as

Letter: Spatial Metrics Which are Static in Many Ways

  • K. P. Tod
Article

Abstract

We consider Riemannian 3-metrics which can form the spatial part of vacuum solutions of the Einstein equations, possibly with a cosmological constant, in more than one way (in a sense made precise). The locally rotationally symmetric (LRS) Kasner metric gives the simplest example, and we find that the resulting space-time metrics are always of Petrov type D.

Static Einstein metrics 

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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • K. P. Tod
    • 1
  1. 1.Math. Inst. St. GilesOxfordGreat Britain

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