Local metrics admitting a principal Killing–Yano tensor with torsion
Local metrics admitting a principal Killing–Yano tensor with torsion
In this paper we initiate a classification of local metrics admitting the principal Killing–Yano tensor with a skew-symmetric torsion. It is demonstrated that in such spacetimes rank-2 Killing tensors occur naturally and mutually commute. We reduce the classification problem to that of solving a set of partial differential equations, and …