Quantisation of scalar and vector fields inside the cosmological event horizon and its application to the Hawking effect

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Abstract
Discusses the quantisation of the scalar and vector fields with non-zero masses inside the event horizon of de Sitter spacetime by using the static coordinate system. The commutators for creation and annihilation operators are derived from the local canonical commutation relations. The author then calculates the response of these fields to monochromatic multipole sources in the vacuum defined in the coordinate system which describes the expanding half of de Sitter spacetime. It is found, as expected, that it is the same as that in thermal equilibrium in the static coordinate system with the well known Hawking temperature.

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