  The perturbative solutions to the semiclassical Einstein field equations
describing spherically-symmetric and static lukewarm black hole are
constructed. The source term is composed of the (classical) stress-energy
tensor of the electromagnetic field and the renormalized stress-energy tensor
of the quantized massive scalar field in a large mass limit. We used two
different parametrizations. In the first parametrization we calculated the
zeroth-order solution. Subsequently, making use of the quantum part of the
total stress-energy tensor constructed in the classical background we
calculated the corrections to the metric potentials and the corrections to the
horizons. This procedure can be thought of as switching the quantized field on
and analyzing its influence on the classical background via the back-reaction.
In the second parametrization we are looking for a self-consistent lukewarm
solution from the very beginning. This requires knowledge of a generic tensor
which depends functionally on the metric tensor. The transformation formulas
relating the line element in both parametrizations are given.

General Relativity and Quantum Cosmology