Stephen J. Summers and Rainer Verch
Modular Inclusion, the Hawking Temperature and Quantum Field Theory
in Curved Space-Time
(44K, latex)

ABSTRACT.  A recent result by Borchers connecting geometric modular
action, modular inclusion and the spectrum condition, is applied
in quantum field theory on spacetimes with a bifurcate
Killing horizon (these are generalizations of black hole
space-times, comprising the familiar black hole spacetime
models). Within this framework we give sufficient,
model-independent conditions ensuring that the temperature
of thermal equilibrium quantum states is the Hawking temperature.