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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@article{78261, author = {Marvan, Michal}, article_location = {Amsterdam}, article_number = {august}, doi = {http://dx.doi.org/10.1016/j.geomphys.2023.104878}, keywords = {Papapetrou metrics; van Stockum dust metrics; Lichnerowicz matching conditions; First-order invariants; Ehlers transformation; Kramer–Neugebauer transformation}, language = {eng}, issn = {0393-0440}, journal = {Journal of Geometry and Physics}, title = {Matching van Stockum dust to Papapetrou vacuum}, url = {https://www.sciencedirect.com/science/article/pii/S0393044023001304}, volume = {190}, year = {2023} }
TY - JOUR ID - 78261 AU - Marvan, Michal PY - 2023 TI - Matching van Stockum dust to Papapetrou vacuum JF - Journal of Geometry and Physics VL - 190 IS - august SP - "104878-1"-"104878-10" EP - "104878-1"-"104878-10" PB - Elsevier B.V. SN - 03930440 KW - Papapetrou metrics KW - van Stockum dust metrics KW - Lichnerowicz matching conditions KW - First-order invariants KW - Ehlers transformation KW - Kramer–Neugebauer transformation UR - https://www.sciencedirect.com/science/article/pii/S0393044023001304 N2 - 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. ER -
MARVAN, Michal. Matching van Stockum dust to Papapetrou vacuum. \textit{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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