A simple property of the Weyl tensor for a shear, vorticity and acceleration-free velocity field

DOI10.1007/s10714-018-2398-9zbMath1398.83062arXiv1801.01368OpenAlexW3100725564MaRDI QIDQ1798753

Luca Guido Molinari, Carlo Alberto Mantica

Publication date: 23 October 2018

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01368

zbMATH Keywords

Weyl tensorgeneralized Robertson-Walker spacetimegeneralized curvature tensortorse-forming vectortwisted space-time

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) 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 (2)

Correction to: ``A simple property of the Weyl tensor for a shear, vorticity and acceleration-free velocity field ⋮ Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes

Cites Work

• Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
• Twisted Lorentzian manifolds: a characterization with torse-forming time-like unit vectors
• A simple characterization of generalized Robertson-Walker spacetimes
• On the Weyl and Ricci tensors of Generalized Robertson-Walker space-times
• Minimal tensors and purely electric or magnetic spacetimes of arbitrary dimension
• Weyl compatible tensors
• Generalized Robertson–Walker spacetimes — A survey
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