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Stationary D-dimensional test branes interacting with N-dimensional Myers-Perry bulk black holes are investigated in arbitrary brane and bulk dimensions. The branes are asymptotically flat and axisymmetric around the rotation axis of the black hole with a single angular momentum. They are also spherically symmetric in all other dimensions allowing a total of O(1)×O(D-2) group of symmetry. It is shown that even though this setup is the most natural extension of the spherical symmetric problem to the simplest rotating case in higher dimensions, the obtained solutions are not compatible with the spherical solutions in the sense that the latter ones are not recovered in the nonrotating limit. The brane configurations are qualitatively different from the spherical problem, except in the special case of a three-dimensional brane. Furthermore, a quasistatic phase transition between the topologically different solutions cannot be studied here, due to the lack of a general, stationary, equatorial solution. [ABSTRACT FROM AUTHOR]

We present a numerical solution for a topologically flat two-dimensional thick brane on a higher dimensional, spherically symmetric black hole background. The present solution is the last, missing part of the complete set of solutions for the thickness corrected brane-black hole problem in an arbitrary number of dimensions. We show that the two-dimensional case is special compared to all the higher dimensional solutions in the topologically Minkowskian family as being nonanalytic at the axis of the system. We provide the numerical solution in the near horizon region and make a comparison with the infinitely thin case. [ABSTRACT FROM AUTHOR]