On a class of solutions for null dust

In stationary metrics depending on two spacelike coordinates the field equa tions permit one to choose a radial coordinate r such that D-2 := -g(33)g(4 4) + g(34)(2) = r(2), leading to solutions with axial symmetry. However, so lutions exist also for the case in which D-2 = 1. These solutions are exami ned in this paper, and, if physically realistic, are found to refer to null dust or vacuum. This is at variance with the interpretation of Hoenselaers and Vishveshwara [4] who examined one of the solutions and concluded that it described non-null dust or vacuum.