  We present a calculation of two-point correlation functions of the
stress-energy tensor in the strongly-coupled, confining gauge theory which is
holographically dual to the AdS soliton geometry. The fact that the AdS soliton
smoothly caps off at a certain point along the holographic direction, ensures
that these correlators are dominated by quasinormal mode contributions and thus
show an exponential decay in position space. In order to study such a field
theory on a curved spacetime, we foliate the six-dimensional AdS soliton with a
Schwarzschild black hole. Via gauge/gravity duality, this new geometry
describes a confining field theory with supersymmetry breaking boundary
conditions on a non-dynamical Schwarzschild black hole background. We also
calculate stress-energy correlators for this setting, thus demonstrating
exponentially damped heat transport. This analysis is valid in the confined
phase. We model a deconfinement transition by explicitly demonstrating a
classical instability of Gregory-Laflamme-type of this bulk spacetime.
