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Recently, Bennett et al. [Eur. J. Phys. 37:014001, 2016] presented aphysically-motivated and explicitly gauge-independent scheme for thequantisation of the electromagnetic field in flat Minkowski space. In thispaper we generalise this field quantisation scheme to curved spacetimes.Working within the standard assumptions of quantum field theory and onlypostulating the physicality of the photon, we derive the Hamiltonian, H, andthe electric and magnetic field observables, E and B, without having to invokea specific gauge. As an example, we quantise the electromagnetic field in thespacetime of an accelerated Minkowski observer, Rindler space, and demonstrateconsistency with other field quantisation schemes by reproducing the Unruheffect.

A physically-motivated quantisation of the electromagnetic field on curved spacetimes