Il Nuovo Cimento (1955-1965)

, Volume 11, Issue 6, pp 816–820 | Cite as

Quadratic lagrangians and general relativity

  • P. W. Higgs


Two out of the three sets of field equations associated with Lagrangians quadratic in the Riemann-Christoffel tensor, which were recently discussed by Stephenson, are shown to be equivalent to the source-free Einstein equations with an arbitrary «cosmological» term.


Si dimostra che due dei tre sistemi di equazioni di campo associati a lagrangiani quadratici nel tensore di Riemann-Christoffel, recentemente discussi daStephenson, sono equivalenti alle equazioni di Einstein prive di sorgente con un termine «cosmologico» arbitrario.


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  1. (1).
    G. Stephenson:Nuovo Cimento,9, 263 (1958).MathSciNetCrossRefzbMATHGoogle Scholar
  2. (2).
    G. Stephenson:Quart. Journ. Math. (Oxford), to be published.Google Scholar

Copyright information

© Società Italiana di Fisica 1959

Authors and Affiliations

  • P. W. Higgs
    • 1
  1. 1.Department of MathematicsImperial CollegeLondon

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