  We obtain renormalized stress tensor of a mass-less, charge-less dynamical
quantum scalar field, minimally coupled with a spherically symmetric static
Lukewarm black hole. In two dimensional analog the minimal coupling reduces to
the conformal coupling and the stress tensor is found to be determined by the
nonlocal contribution of the anomalous trace and some additional parameters in
close relation to the work presented by Christensen and Fulling. Lukewarm black
holes are a special class of Reissner- Nordstr\"{o}m-de Sitter space times
where its electric charge is equal to its mass. Having the obtained
renormalized stress tensor we attempt to obtain a time-independent solution of
the well known metric back reaction equation. Mathematical derivations predict
that the final state of an evaporating quantum Lukewarm black hole reduces to a
remnant stable mini black hole with moved locations of the horizons. Namely the
perturbed black hole (cosmological) horizon is compressed (extended) to scales
which is smaller (larger) than the corresponding classical radius of the event
horizons. Hence there is not obtained an deviation on the cosmic sensor-ship
hypothesis.
