HOMOTHETIC KILLING VECTORS IN EXPANDING $\mathcal{HH}$-SPACES WITH Λ

DOI10.1142/S0219887812500776zbMath1261.83024arXiv1104.3409OpenAlexW1953506649MaRDI QIDQ4910902

Adam Chudecki

Publication date: 13 March 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3409

zbMATH Keywords

Killing symmetriescomplex general relativityhyperheavenly spaceshomothetic Killing vectorsisometric Killing vectors2-spinor formalismhyperheavenly

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Gravitational energy and conservation laws; groups of motions (83C40) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items

Proper conformal symmetries in self-dual Einstein spaces ⋮ Classification of complex and real vacuum spaces of the type [N ⊗ [N]] ⋮ On twisting type [N ⊗ [N] Ricci flat complex spacetimes with two homothetic symmetries] ⋮ Killing symmetries in $\mathcal {H}$H-spaces with Λ ⋮ Null Killing vectors and geometry of null strings in Einstein spaces

Cites Work

• Conformal Killing vectors in nonexpanding -spaces with Λ
• From hyperheavenly spaces to Walker and Osserman spaces: I
• The classification of all ℋ spaces admitting a Killing vector
• All algebraically degenerate ℋ spaces, via ℋℋ spaces
• The form of Killing vectors in expanding ℋℋ spaces
• Killing vector fields in self-dual, Euclidean Einstein spaces with Λ≠0
• Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces
• From hyperheavenly spaces to Walker and Osserman spaces: II
• Osserman manifolds in semi-Riemannian geometry