New black holes in the brane world?

It is known that the Einstein field equations in five dimensions admit more general spherically symmetric black holes on the brane than four-dimensional general relativity. We propose two families of analytic solutions (with gₜₜ≠-gᵣᵣ^-1), parametrized by the Arnowitt-Deser-Misner mass and the parametrized post-Newtonian parameter β, which reduce to Schwarzschild for β=1. Agreement with observations requires |β-1|~|η|1. The sign of η plays a key role in the global causal structure, separating metrics which behave like Schwarzschild (η<0) from those similar to Reissner-Nordstr\"om spare-time (η>0). In the latter case, we find a family of black hole space-times completely regular.