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Kerr-Schild Approach to the Boosted Kerr Solution

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Alexander Burinskii, Giulio Magli

General Relativity and Quantum Cosmology · Submitted 6 Apr 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In the limiting, ultrarelativistic case we obtain light-like solutions possessing diverging and twisting principal null congruences and having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum.

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arXiv IDgr-qc/9904012 (version 1)
Pith IDWV4REWDN, Pith's permanent record of this paper and its review
CitationAlexander Burinskii, Giulio Magli. "Kerr-Schild Approach to the Boosted Kerr Solution." arXiv:gr-qc/9904012 (1999). https://pith.science/paper/WV4REWDN
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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,032 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.11 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.88 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; .

Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we analyze the boosted Kerr geometries and give the exact and explicit expressions for the metrics, the principal null congruences, the coordinate systems and the location of the singularities for arbitrary value and orientation of the boost with respect to the angular momentum. In the limiting, ultrarelativistic case we obtain light-like solutions possessing diverging and twisting principal null congruences and having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. The implications of the above results in various related fields are discussed.

background contribution method result interpretation main claim

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we analyze the boosted Kerr geometries and give the exact and explicit expressions for the metrics, the principal null congruences, the coordinate systems and the location of the singularities for arbitrary value and orientation of the boost with respect to the angular momentum. contribution 0.89 0.95 0.32 asserted 1.00
s1 In the limiting, ultrarelativistic case we obtain light-like solutions possessing diverging and twisting principal null congruences and having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. result 1.00 0.93 0.48 asserted 1.00
s2 The implications of the above results in various related fields are discussed. interpretation 0.98 0.46 0.04 unclear 0.79

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Original abstract

Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we analyze the boosted Kerr geometries and give the exact and explicit expressions for the metrics, the principal null congruences, the coordinate systems and the location of the singularities for arbitrary value and orientation of the boost with respect to the angular momentum. In the limiting, ultrarelativistic case we obtain light-like solutions possessing diverging and twisting principal null congruences and having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. The implications of the above results in various related fields are discussed.

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