General Relativity and Gravitation

, Volume 2, Issue 4, pp 303–312 | Cite as

On the gravitational field of a massless particle

  • P. C. Aichelburg
  • R. U. Sexl
Research Articles


The gravitational field of a massless point particle is first calculated using the linearized field equations. The result is identical with the exact solution, obtained from the Schwarzschild metric by means of a singular Lorentz transformation. The gravitational field of the particle is nonvanishing only on a plane containing the particle and orthogonal to the direction of motion. On this plane the Riemann tensor has a δ-like singularity and is exactly of Petrov typeN.


Exact Solution Field Equation Differential Geometry Gravitational Field Lorentz Transformation 
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Copyright information

© Plenum Publishing Company Limited 1971

Authors and Affiliations

  • P. C. Aichelburg
    • 1
  • R. U. Sexl
    • 1
  1. 1.Institut für Theoretische Physik der Universität WienAustria

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