  We consider massive scalar field theory on static four-dimensional
space-times with horizons. We study the near horizon behaviour of the quantum
expectation values of the stress-energy tensor operator for thermal state with
generic temperatures. It turns out that the dependence of the expectation
values on the temperature and tensor structure of the stress-energy tensor
differs from the usual one in the Minkowski space-time. Moreover, for
non-canonical temperatures these expectation values are divergent on the
horizons. We also show that the Wightman functions have additional infrared
peculiarities near the horizons.
