Communications in Mathematical Physics

, Volume 5, Issue 3, pp 205–214 | Cite as

Weakened field equations in General Relativity admitting an ‘unphysical’ metric

  • D. Lovelock


Certain weakened vacuum field equations which have been suggested as alternatives to the vacuum field equations of General Relativity are investigated. It is shown that they each possess a solution which corresponds to an isolated mass at the origin which repels test particles. In view of the contradiction with experiment this solution is an embarrassment to these proposed vacuum field equations.


Neural Network Statistical Physic General Relativity Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • D. Lovelock
    • 1
  1. 1.Department of MathematicsUniversity of South AfricaPretoria

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