On spinless null propagation in five-dimensional space-times with approximate space-like Killing symmetry

Five-Dimensional Space-Times

Killing-Yano symmetry for a class of space-times admitting parallel null 1-planes(∗)

— A possible generalization of plane fronted waves with parallel rays (gpp-wave) falls into a more general class of metrics admitting parallel null 1-planes. For gpp-wave metric, the zero-curvature condition is given, the Killing-Yano tensors of order two and three are found and the corresponding Killing tensors are constructed. Henceforth, the compatibility between geometric duality and non-ge...

Time-dependent gravitating solitons in five-dimensional warped space-times

Time-dependent soliton solutions are explicitly derived in a five-dimensional theory endowed with one (warped) extra dimension. Some of the obtained geometries, everywhere well defined and technically regular, smoothly interpolate between two five-dimensional anti-de Sitter space-times for a fixed value of the conformal time coordinate. Time-dependent solutions containing both topological and n...

On the reflection symmetry in stationary axisymmetric electrovacuum space-times

Abstract. Recently Kordas (1995 Class. Quantum Grav. 12 2037) and Meinel and Neugebauer (1995 Class. Quantum Grav. 12 2045) studied the conditions for reflection symmetry in stationary axisymmetric space–times in vacuum. They found that a solution to the Einstein field equations is reflectionally symmetric if their Ernst’s potential E(ρ = 0, z) = e(z) on a portion of the positive zaxis extendin...

On de Sitter-like and Minkowski-like space-times

Friedrich’s proofs for the global existence results of de Sitter-like space-times and of semiglobal existence of Minkowski-like space-times [Comm. Math. Phys. 107, 587 (1986)] are re-examined and discussed, making use of the extended conformal field equations and a gauge based on conformal geodesics. In this gauge the location of the conformal boundary of the space-times is known a priori once ...