Twisting Lightlike Solutions of the Kerr-Schild Class

Details Twisting Lightlike Solutions of the Kerr-Schild Class Twisting Lightlike Solutions of the Kerr-Schild Class

2000-08-22

arxiv.org/abs/gr-qc/0008055v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, Latex, talk given at the session GT4 of the MG9 Meeting ( Rome, 2-9 July, 2000), submitted to the Proceedings of MG9

Scientific paper

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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