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General Relativity and Gravitation

, Volume 17, Issue 6, pp 599–612 | Cite as

Propagation of gravitational waves in Robertson-Walker backgrounds

  • Allen I. Janis
Research Articles

Abstract

The electric and magnetic parts of the linearized Weyl tensor, when the stress-energy tensor is that of a perfect fluid and the background is of Robertson-Walker type, are known to satisfy wave equations that differ by the presence of a source term for the electric part. It is shown here that all of the allowed solutions of the inhomogeneous equation can be obtained by applying a differential operator to the solutions of the homogeneous equation; consequently, electric-type and magnetic-type gravitational waves have the same propagation properties. The results of a complete integration of the appropriately linearized Newman-Penrose equations are given.

Keywords

Wave Equation Differential Operator Source Term Propagation Property Differential Geometry 
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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References

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    Niedra, J. M., and Janis, A. I. (1983).Gen. Rel Grav.,15, 241; Erratum,15, 701.Google Scholar
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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • Allen I. Janis
    • 1
  1. 1.Department of Physics and AstronomyUniversity of PittsburghPittsburgh

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