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Twisting Lightlike Solutions of the Kerr-Schild Class

Alexander Burinskii·Giulio Magli
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Abstract

Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we give a method to construct boosted Kerr geometries. In the ultrarelativistic case this method yelds twisting solutions having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. The solutions show that twist plays a crucial role in removing singularity and smoothing shock wave in the ultrarelativistic limit. Two different physical situations are discussed.

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Alexander Burinskii, Giulio Magli. 2000-08-22. Twisting Lightlike Solutions of the Kerr-Schild Class. https://arxiv.org/abs/gr-qc/0008055

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