n-dimensional complex Riemann-Einstein spaces with O(n-1, C) as the symmetry group

DOI10.1016/0034-4877(80)90064-6zbMath0469.53020OpenAlexW1976014178MaRDI QIDQ1157022

Jerzy F. Plebański, Andrzej Krasiński

Publication date: 1980

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(80)90064-6

zbMATH Keywords

static solutionsgeodesic linesSchwarzschild-de Sitter metriccomplex Riemannian spaceNariai's solutionsymmetry subgroup

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Spherical symmetry and the fluid of multidimensional objects ⋮ Electromagnetic solutions of higher-dimensional gravity ⋮ The charged dust solution of Ruban: Matching to Reissner-Nordström and shell crossings ⋮ Shear-free normal cosmological models ⋮ Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

Cites Work

• Completion and Embedding of the Schwarzschild Solution
• Maximal Extension of Schwarzschild Metric
• Schwarzschild field inn dimensions and the dimensionality of space problem
• On The Motion of Three Vortices
• Two-colour Indices and General Relativity
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