Conformal orbits of electromagnetic Riemannian curvature tensors electromagnetic implies gravitational radiation

  • Hans Tilgner
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1156)


Electromagnetic curvature structures (c.s.) are defined as being bilinear in the two electromagnetic field matrices and electrovac c.s. by having the el.magn. energy-momentum as Einstein tensor. There is a one-parameter familiy of electrovac c.s. having never a component in the space of constant curvatures. Their non-Weyl component is uniquely determined by the el.magn. energy-momentum, and in general they have a Weyl component. It is shown that el.magn. implies gravitational radiation, and coversely that el.magn. gravitational radiation is induced by el.magn. radiation. A structure theory of c.s. is described with morphisms as linear conformal transformations (i.e. Lorentztransformations and dilatations) such that the above properties of c.s., and many others, are orbit properties.


Symmetric Space Structure Theory Jordan Algebra Gravitational Radiation Curvature Structure 
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-Verlag 1985

Authors and Affiliations

  • Hans Tilgner
    • 1
  1. 1.Mathematisches InstitutTechnische Universität BerlinBerlin 37

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