General Relativity and Gravitation

, Volume 13, Issue 9, pp 817–828 | Cite as

Necessary and sufficient conditions for trivial solutions in supergravity

  • P. C. Aichelburg
  • H. K. Urbantke
Research Articles


We determine the conditions necessary for a solution of the supergravity field equations with infinitesimal spin-3/2 field to be a pure gauge transformation of an Einstein vacuum field. The analysis depends on the Petrov classification of the curvature tensor and uses two-component spinor calculus. For general type I, the type II, and typeD, the necessary conditions found are also shown to be sufficient, and the explicit form of the gauge transformation can be given.


Explicit Form Field Equation Differential Geometry Gauge Transformation General Type 
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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • P. C. Aichelburg
    • 1
  • H. K. Urbantke
    • 1
  1. 1.Institut für Theoretische PhysikUniversität WienDeutschland

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