Behavior of zero rest-mass fields including gravitation in the vicinity of zeros

1973
13 pages
Published in:
  • Annals Phys. 78 (1973) 284-296

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Abstract: (Elsevier)
For free nonradiation zero rest-mass fields, as for example the nonnull Maxwell and the Weyl tensor fields in vacuum, a uniform treatment of the behavior of the principal null vectors in the vicinity of boundary zeros is given. It is shown that a boundary zero of a field is a singular point of at least one of its principal null vectors. In the special case of a Maxwell field for which the Poynting three-vector vanishes for a certain observer-field, a boundary zero of the Maxwell field is a singular point of the corresponding electric and magnetic fields. The results are valid in flat and curved spacetimes independently of whether the zero rest-mass fields act as source of the spacetime curvature or not.
  • field theory: spinor
  • spinor: field theory
  • gravitation
  • electromagnetic: field