General Relativity and Gravitation

, Volume 14, Issue 1, pp 31–36 | Cite as

The variational principle of general relativity

  • N. T. Bishop
Research Articles


It is shown that the field equations of general relativity never afford a minimum or maximum-not even locally-to the action integralI. Solutions of the field equations always represent a stationary value ofI.


General Relativity Field Equation Variational Principle Differential Geometry 
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  1. 1.
    Bishop, N. T. (1976).Mon. Not. R. Astr. Soc.,176, 241–247.Google Scholar
  2. 2.
    Landau, L., and Lifshitz, E. (1975).The Classical Theory of Fields (Addison-Wesley, Reading, Massachusetts), Section 93.Google Scholar
  3. 3.
    Noerdlinger, P. D. (1968).Phys. Rev.,170, 1175.Google Scholar
  4. 4.
    Hojman, S., and Montemayor, R. (1980).s-equivalent Lagrangians for Free Particles and Canonical Quantization, Preprint, University of Mexico.Google Scholar
  5. 5.
    Gibbons, G. W., Hawking, S. W., and Perry, M. J. (1978).Nucl. Phys.,B138, 141–150.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • N. T. Bishop
    • 1
  1. 1.Department of Applied MathematicsUniversity of the WitwatersrandJohannesburgSouth Africa

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