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  Vacuum gravitational fields with a null Killing vector

Dautcourt, G. (2020). Vacuum gravitational fields with a null Killing vector. General Relativity and Gravitation, 52(2): 10. doi:10.1007/s10714-020-2661-8.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-A5F5-C Version Permalink: http://hdl.handle.net/21.11116/0000-0005-A5F6-B
Genre: Journal Article

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1910.00561.pdf (Preprint), 183KB
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 Creators:
Dautcourt, G.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: Vacuum gravitational fields admitting a light-like Killing field were systematically studied starting around 1960. Besides the already known plane waves, a second class of gravitational wave fields was found. In contrast to plane waves, their wave surfaces were not flat, but had a negative Gaussian curvature. Recently, such solutions found attention again as "twisted gravitational waves". In the paper we review and extend the earlier results. In suitable coordinates, the metric assumes a simple shape. The waves are then determined by a single function that satisfies a Laplace equation in cylindrical coordinates. The "twisted waves" prove to be a special case.

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 Dates: 2019-10-012019-12-292020
 Publication Status: Published in print
 Pages: 13 pages, v2: abstract extended, typos corrected, minor changes, v3: reviewer suggestions considered
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 Identifiers: arXiv: 1910.00561
DOI: 10.1007/s10714-020-2661-8
URI: http://arxiv.org/abs/1910.00561
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Title: General Relativity and Gravitation
Source Genre: Journal
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Pages: - Volume / Issue: 52 (2) Sequence Number: 10 Start / End Page: - Identifier: -