The Newman-Penrose formalism for Riemannian 3-manifolds

DOI10.1016/j.geomphys.2015.03.009zbMath1319.53023arXiv1410.7216OpenAlexW2963117089WikidataQ115353097 ScholiaQ115353097MaRDI QIDQ2352275

Amir Babak Aazami

Publication date: 30 June 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7216

zbMATH Keywords

differential geometryNewman-Penrose formalismvector flows

Mathematics Subject Classification ID

Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Contact structures on null hypersurfaces ⋮ Killing vector fields on Riemannian and Lorentzian 3‐manifolds ⋮ Ricci-positive geodesic flows and point-completion of static monopole fields ⋮ On the principal Ricci curvatures of a Riemannian 3-manifold ⋮ A curvature inequality characterizing totally geodesic null hypersurfaces ⋮ Conformal great circle flows on the 3-sphere ⋮ Symplectic 4-manifolds via Lorentzian geometry

Cites Work

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• Killing vector fields of constant length on locally symmetric Riemannian manifolds
• Republication of: a theorem on Petrov types
• Three-dimensional space-times
• Conformal great circle flows on the 3-sphere
• Relativistic Cosmology. I
• Gravitational waves in general relativity. VI. The outgoing radiation condition
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• The Riemannian Goldberg–Sachs Theorem
• Vector fields and Ricci curvature
• Volume-preserving great circle flows on the 3-sphere

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