Regular Schwarzschild-like spacetime embedded in a five dimensional bulk

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