6 citations · 10 across the 4 of their papers we have counts for
4 papers
D-dimensional metrics with D-3 symmetries
A. Szereszewski, J. Tafel, M. Jakimowicz
Hidden symmetry transformations of D-dimensional vacuum metrics with D-3 commuting Killing vectors are studied. We solve directly the Einstein equations in the Maison formulation u…
SO(n + 1) Symmetric Solutions of the Einstein Equations in Higher Dimensions
M. Jakimowicz, J. Tafel
A method of solving the Einstein equations with a scalar field is presented. It is applied to find higher dimensional vacuum metrics invariant under the group SO(n + 1) acting on n…
Generalization Of The Gross-Perry Metrics
M. Jakimowicz, J. Tafel
A class of SO(n+1) symmetric solutions of the (N+n+1)-dimensional Einstein equations is found. It contains 5-dimensional metrics of Gross and Perry and Millward.
Self-dual metrics in Husain's approach
M. Jakimowicz, J. Tafel
We show that Husain's reduction of the self-dual Einstein equations is equivalent to the Plebański equation. The Bäcklund transformation between these equations is found. Contact s…