, Volume 2, Issue 4, pp 303-312

On the gravitational field of a massless particle

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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.

This work was supported in part by ‘Fonds zur Förderung der Wissenschaftlichen Forschung’.