Proper conformal symmetries in self-dual Einstein spaces

DOI10.1063/1.4893000zbMath1298.83098arXiv1403.1725OpenAlexW2255077626MaRDI QIDQ3189939

Adam Chudecki, Michał Dobrski

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1725

zbMATH Keywords

self-dual Einstein spacenull Killing vectorproper conformal symmetries

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (2)

Classification of complex and real vacuum spaces of the type [N ⊗ [N]] ⋮ Generalizations of Killing vector fields in sol space

Cites Work

• A spinor approach to general relativity
• The computer calculation of Lie point symmetries of large systems of differential equations
• Anti-self-dual conformal structures with null Killing vectors from projective structures
• Classification of the Killing vectors in nonexpanding $\mathcal {HH}$-spaces with Λ
• Conformal Killing vectors in nonexpanding -spaces with Λ
• Conformal symmetries of pp-waves
• From hyperheavenly spaces to Walker and Osserman spaces: I
• An interpolating dispersionless integrable system
• The classification of all ℋ spaces admitting a Killing vector
• The form of Killing vectors in expanding ℋℋ spaces
• Killing vectors in plane HH spaces
• Spacetimes with cosmological constant and a conformal Killing field have constant curvature
• HOMOTHETIC KILLING VECTORS IN EXPANDING $\mathcal{HH}$-SPACES WITH Λ
• Killing symmetries in $\mathcal {H}$H-spaces with Λ

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