Klein-Gordon Field in the Rotating Black Branes Wrapped on Einstein Spaces

We show that the equation of motion for a massive scalar field coupled to the scalar curvature is separable in the n-dimensional metric with one rotation parameter (n > 4) found by Klemm, which includes, for example, the n-dimensional Kerr AdS solution with one rotation parameter. When the scalar field is massless and not coupled to the scalar curvature we obtain some limiting cases of our results and we compare them with other results recently published. Also, we make a brief analysis of the differential equations obtained by separation of variables when the n-dimensional Kerr black hole with one rotation parameter is the background metric.