Matching van Stockum dust to Papapetrou vacuum

@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, roč.~190, august, s.~''104878-1''-''104878-10'', 10 s. ISSN~0393-0440. Dostupné z: https://dx.doi.org/10.1016/j.geomphys.2023.104878.