Abstract
In 1975, Ashtekar and Magnon showed that anenergy condition selects a unique quantization procedurefor hypersurface orthogonal observers in general, curvedspacetimes. We generalize this result in two important ways, by eliminating the need toassume a particular form for the (quantum) Hamiltonian,and by considering the surprisingly nontrivial extensionto non-minimal coupling, for which the classical Hamiltonian differs from the classical energycalculated from the stress-energy tensor.
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Fischer, J., Dray, T. A New Look at the Ashtekar–Magnon Energy Condition. General Relativity and Gravitation 31, 511–526 (1999). https://doi.org/10.1023/A:1026694106351
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DOI: https://doi.org/10.1023/A:1026694106351