  Static configurations and a dynamical evolution of the system composed of a
higher-dimensional spherically symmetric dilaton black hole and the
Dirac-Goto-Nambu brane were investigated. The studies were conducted for three
values of the dilaton coupling constant, describing the uncoupled case, the
low-energy limit of the string theory and dimensionally reduced Klein-Kaluza
theories. When the black hole is nonextremal, two types of static
configurations are observed, a brane which intersects the black hole horizon
and a brane not having any common points with the accompanying black hole. As
the number of spacetime dimensions increases, the brane bend in the vicinity of
the black hole disappears closer to its horizon. Dynamical evolution of the
system results in an expulsion of the black hole from the brane. It proceeds
faster for bigger values of the bulk spacetime dimension and thicker branes.
The value of the dilatonic coupling constant does not influence neither the
static configurations nor the dynamical behavior of the examined nonextremal
system. In the extremal dilaton black hole case one obtains expulsion of the
brane which is independent on the spacetime dimensionality and the value of the
coupling constant. Dynamical studies of the configurations in the extremal case
reveal that the course of evolution of the system is similar to the nonextremal
one, except for a slightly earlier expulsion of the black hole from the brane.
