MARVAN, Michal. Matching van Stockum dust to Papapetrou vacuum. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2023, vol. 190, p. 104878-104887. ISSN 0393-0440. Available from: https://dx.doi.org/10.1016/j.geomphys.2023.104878.
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Basic information
Original name Matching van Stockum dust to Papapetrou vacuum
Authors MARVAN, Michal.
Edition Journal of Geometry and Physics, Amsterdam, Elsevier B.V. 2023, 0393-0440.
Other information
Original language English
Type of outcome Article in a journal
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.geomphys.2023.104878
Keywords in English Papapetrou metrics; van Stockum dust metrics; Lichnerowicz matching conditions; First-order invariants; Ehlers transformation; Kramer–Neugebauer transformation
Tags International impact, Reviewed
Changed by Changed by: doc. RNDr. Michal Marvan, CSc., učo 48814. Changed: 3/7/2023 07:40.
Abstract
Addressing a long-standing problem, we show that every van Stockum dust can be matched to a 1-parametric family of non-static Papapetrou vacuum metrics, and the converse. The boundary, if existing, is determined by the vanishing of certain first-order invariant on the vacuum side. Moreover, we establish a relation to Ehlers and Kramer–Neugebauer transformations, which allows us to look for dust clouds with a prescribed boundary. Explicit examples include the Bonnor metric and a new vacuum exterior to the Lanczos–van Stockum dust metric, as well as dust clouds with nontrivial topology.
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