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Shearing and geodesic axially symmetric perfect fluids that do not produce gravitational radiation

Authors
  • Herrera, L.
  • Di Prisco, A.
  • Ospino, J.
  • Carot, J.
Type
Published Article
Publication Date
Jan 09, 2015
Submission Date
Jan 09, 2015
Identifiers
DOI: 10.1103/PhysRevD.91.024010
Source
arXiv
License
Yellow
External links

Abstract

Using a framework based on the 1+3 formalism we carry out a study on axially and reflection symmetric perfect and geodesic fluids, looking for possible models of sources radiating gravitational waves. Therefore, the fluid should be necessarily shearing, for otherwise the magnetic part of the Weyl tensor vanishes, leading to a vanishing of the super-Poynting vector. However, for the family of perfect, geodesic fluids considered here, it appears that all possible cases reduce to conformally flat, shear--free, vorticity-free, fluids, i.e Friedmann-Roberston-Walker. The super-Poynting vector vanishes and therefore no gravitational radiation is expected to be produced. The physical meaning of the obtained result is discussed.

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