General Relativity and Gravitation

, Volume 44, Issue 6, pp 1587–1609 | Cite as

Republication of: The geometry of free fall and light propagation

  • Jürgen Ehlers
  • Felix A. E. Pirani
  • Alfred Schild
Golden Oldie


This is a reprinting of the paper by Jürgen Ehlers, Felix Pirani and Alfred Schild, first published in 1972 in a separate volume containing articles written in hounour of J. L. Synge. The original book is long out of print and almost forgotten by today. The authors present a method of deriving the Lorentzian geometry from compatible conformal and projective structures on a four dimensional manifold. The paper has been selected by the Editors of General Relativity and Gravitation for re-publication in the Golden Oldies series of the journal. This republication is accompanied by an editorial note written by Andrzej Trautman.


Manifold General Relativity Differential Geometry Light Propagation Dimensional Manifold 
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

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Jürgen Ehlers
    • 1
  • Felix A. E. Pirani
    • 2
  • Alfred Schild
    • 3
  1. 1.PotsdamGermany
  2. 2.LondonUK
  3. 3.AustinUSA

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