Spacetimes with continuous linear isotropies. III: Null rotations

DOI10.1007/S10714-021-02869-1zbMath1483.83020arXiv2106.01213OpenAlexW3211037790MaRDI QIDQ2059777

Malcolm A. H. MacCallum

Publication date: 14 December 2021

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

Full work available at URL: https://arxiv.org/abs/2106.01213

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Structure and representation of the Lorentz group (22E43) Exterior differential systems (Cartan theory) (58A15) Rotation in hydrodynamic stability (76E07) Conformal structures on manifolds (53C18) Flows related to mean curvature (53E10)

Cites Work

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• Symmetry classes of pp-waves
• Spacetimes with continuous linear isotropies. I: Spatial rotations
• Spacetimes with continuous linear isotropies. II: Boosts
• Some remarks on wave solutions in general relativity theory
• All homogeneous pure radiation spacetimes satisfy the Einstein–Maxwell equations
• Symmetries of the nontwisting type-N solutions with cosmological constant
• THE CURVATURE HOMOGENEITY BOUND FOR LORENTZIAN FOUR-MANIFOLDS
• Algebraically independent nth derivatives of the Riemannian curvature spinor in a general spacetime
• Exact Solutions of Einstein's Field Equations
• Totally symmetrized spinors and null rotation invariance

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