1303.1135 (Adam Chudecki et al.)

Killing Symmetries in $\mathcal{H}$-Spaces with $Λ$    [PDF]

Adam Chudecki, Maciej Przanowski

All Killing symmetries in complex $\mathcal{H}$-spaces with $\Lambda$ in terms of the Pleba\'nski - Robinson - Finley coordinate system are found. All $\mathcal{H}$-metrics with $\Lambda$ admitting a null Killing vector are explicitly given. It is shown that the problem of non-null Killing vector reduces to looking for solution of the Boyer - Finley - Pleba\'nski (Toda field) equation

View original: http://arxiv.org/abs/1303.1135