  The physical properties of static analytic solutions which describe black
brane geometries are discussed. In particular we study the similarities and
differences of analytic black brane/string solutions in the Einstein and Jordan
frames. The comparison is made between vacuum power law $f(R)$ gravity
solutions and their conformal equivalents in the Einstein frame. In our
analysis we examine how the geometrical and physical properties of these
analytic axisymmetric solutions - such as singularities, the temperature and
the entropy - are affected as we pass from one frame to the other.
