Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry

DOI10.1016/J.DIFGEO.2021.101724zbMath1464.83020arXiv2009.07179OpenAlexW3130035444WikidataQ115354621 ScholiaQ115354621MaRDI QIDQ2022418

Gerd Schmalz, Andrea F. Spiro, Masoud Ganji, Dimitrii V. Alekseevsky

Publication date: 29 April 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07179

zbMATH Keywords

electromagnetic plane waveLorentzian metricRicci flat metricTaub-NUT metricKähler-Sasaki geometry

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05) Sub-Riemannian geometry (53C17)

Related Items (2)

Almost Robinson geometries ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

Cites Work

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• Conformal geometry of flows in n dimensions
• A generalised Kerr-Robinson theorem
• Robinson manifolds and Cauchy–Riemann spaces
• Algebraic classification of higher dimensional spacetimes based on null alignment
• On the Goldberg–Sachs theorem in higher dimensions in the non-twisting case
• Homogeneous locally conformally Kähler and Sasaki manifolds
• Robinson–Trautman spacetimes with an electromagnetic field in higher dimensions

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