  We investigate on a Randall-Sundrum warped spacetime, a Kerr-like black hole
in the conformal dilaton-Higgs $(\omega,\Phi)$ gravity model. We applied the
antipodal boundary condition on the Klein surface using the
$\mathds{Z}_2$-symmetry in the "large" (bulk) extra dimension. It turns out
that the pseudo-Riemannian 5D manifold can be written as an effective 4D
Riemannian brane spacetime, $\mathds{R}^2_+\times\mathds{R}^1\times S^1$, where
$\mathds{R}^2_+$ is conformally flat. The solution in valid on both manifolds.
So the solution can equally well described by an instanton solution. An
advantage is that antipodicity can be maintained without a "cut-and-past"
method or to rely on quantum cloning, when treating the scattering description
of the evaporation process of the Hawking radiation. We need only the
windingnumber as quantum number. Moreover, the equations are invariant under
time reversal. The problem of finding the matching condition of the
near-horizon approximation and the far-away Regge-Wheeler approximation, can
possibly be solved by splitting the spacetime in a dilaton field times an
"un-physical" spacetime, which is conformally flat. In the case of a constant
gauge field, we find that the conform invariant mass term $\sim \Phi^2\omega^2$
in the Lagrangian follows directly from the superfluous dilaton equation by
suitable choice of the scale of the extra dimension.Finally, we bring forward
the relation between the embedded Klein surface in $\mathds{R}^4$ and the
quantum mechanical information paradox.
