  We take advantage of the Shiromizu et al. covariant formalism to find out the
brane properties originating from the five dimensional bulk spacetime. Making a
different choice for the conformal factor $e^{-2b(z)}$ compared to Estrada
[24], we reach a new solution with a lot of interesting properties, where $b(z)
= ln(1/\sqrt{cosh2\mu z})$. The non-local tensor $E_{ab}$ rooted from the
5-dimensional Riemann tensor gives an anisotropic stress energy tensor on the
brane with positive energy density and negative radial pressure. The BH on the
brane looks like a black string in the 5-dimensional space, with no
singularities of the curvature invariants.
