Abstract
A recent result by Borchers connecting geometric modular action, modular inclusion and spectrum condition, is applied in quantum field theory on spacetimes with a bifurcate Killing horizon (these are generalizations of black-hole spacetimes, 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.
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Summers, S.J., Verch, R. Modular inclusion, the Hawking temperature, and quantum field theory in curved spacetime. Letters in Mathematical Physics 37, 145–158 (1996). https://doi.org/10.1007/BF00416017
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DOI: https://doi.org/10.1007/BF00416017