The form of Killing vectors in expanding ℋℋ spaces

DOI10.1063/1.525196zbMath0481.58014OpenAlexW2019085070MaRDI QIDQ3938912

Stephanie A. Sonnleitner, J. D. III. Finley

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525196

zbMATH Keywords

Killing equationKilling vectorscomplex general relativitySchwarzschild metricgauge freedom2-spinorsHH spacesmetric potential functionPetrov-Penrose typesspace of the most general algebraically degenerate solutions of the complex Einstein field equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of manifolds of mappings to the sciences (58D30) Applications of global differential geometry to the sciences (53C80) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (8)

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] ⋮ HOMOTHETIC KILLING VECTORS IN EXPANDING $\mathcal{HH}$-SPACES WITH Λ ⋮ Killing symmetries in $\mathcal {H}$H-spaces with Λ ⋮ Null Killing vectors and geometry of null strings in Einstein spaces ⋮ Killing vectors in algebraically special space-times ⋮ The solution of Dirac's equation in algebraically special space-times

Cites Work

• Rotating, charged, and uniformly accelerating mass in general relativity
• The classification of all ℋ spaces admitting a Killing vector
• Null geodesic surfaces and Goldberg–Sachs theorem in complex Riemannian spaces
• Some basic properties of Killing spinors
• Killing vectors in plane HH spaces

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