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arXiv · 2112.06957

Spinning cylinders in general relativity: a canonical form for the Lewis metrics of the Weyl class

L. Filipe O. Costa·José Natário·N. O. Santos
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Abstract

In the main article [CQG 38 (2021) 055003], a new "canonical" form for the Lewis metrics of the Weyl class has been obtained, depending only on three parameters -- Komar mass and angular momentum per unit length, plus the angle deficit -- corresponding to a coordinate system fixed to the "distant stars" and an everywhere timelike Killing vector field. Such form evinces the local but non-global static character of the spacetime, and striking parallelisms with the electromagnetic analogue. We discuss here its generality, main physical features and important limits (the Levi-Civita static cylinder, and spinning cosmic strings). We contrast it on geometric and physical grounds with the Kerr spacetime -- as an example of a metric which is locally non-static.

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L. Filipe O. Costa, José Natário, N. O. Santos. 2021-12-13. Spinning cylinders in general relativity: a canonical form for the Lewis metrics of the Weyl class. https://doi.org/10.1142/9789811269776_0332

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