MARVAN, Michal. Matching van Stockum dust to Papapetrou vacuum. Journal of Geometry and Physics. Amsterdam: Elsevier B.V., 2023, vol. 190, august, p. "104878-1"-"104878-10", 10 pp. 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 (203 Czech Republic, guarantor, belonging to the institution).
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
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW Journal of Geometry and Physics
RIV identification code RIV/47813059:19610/23:A0000138
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1016/j.geomphys.2023.104878
UT WoS 001011575600001
Keywords in English Papapetrou metrics; van Stockum dust metrics; Lichnerowicz matching conditions; First-order invariants; Ehlers transformation; Kramer–Neugebauer transformation
Tags MÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 8/4/2024 12:55.
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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