MULTITEMPORAL GENERALIZATION OF THE TANGHERLINI SOLUTION

The n-time generalization of the Tangherlini solution is considered. T he equations of geodesics for the metric are integrated. For n = 2 it is shown that the naked singularity is absent only for two sets of par ameters, corresponding to the trivial extensions of the Tangherlini so lution. The motion of a relativistic particle in a multi-temporal back ground is considered. This motion is governed by the gravitational mas s tensor. Some generalizations of the solution, including the multi-te mporal analogue of the Myers-PetTy charged black bole solution, are ob tained.