General Relativity and Gravitation

, Volume 20, Issue 11, pp 1115–1125 | Cite as

On the physical interpretation of Wesson's gravitational theory

  • Øyvind Grøn
  • Harald H. Soleng
Research Articles


Wesson has proposed a five-dimensional theory of gravity where the fifth dimension is a parametrization of rest mass. In this paper we investigate the spacetime projection of this theory and point out its scalar-vector-tensor nature. A Brans-Dicke theory withω=0 is shown to appear as a special case of Wesson's theory. It is pointed out that the task of constructing a realistic gravitational theory according to the scheme suggested by Wesson meets with serious difficulties.


Differential Geometry Physical Interpretation Rest Mass Gravitational Theory Spacetime Projection 
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Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • Øyvind Grøn
    • 1
  • Harald H. Soleng
    • 2
  1. 1.Oslo College of Engineering, Cort Adelers gt. 30, N-0254 Oslo 2, Norway and Institute of PhysicsUniversity of OsloOslo 3Norway
  2. 2.Institute of PhysicsUniversity of OsloOslo 3Norway

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