The vacuum-persistence probability for a quantum field in a weak gravitational background is computed to second order in curvatures in D dimensions; conformal fields in conformally flat spacetimes do not create particles at this order.
Weak and strong quantum vacua in Bianchi type I universes,
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Nonlocal effective action and particle creation in $D$ dimensions
The vacuum-persistence probability for a quantum field in a weak gravitational background is computed to second order in curvatures in D dimensions; conformal fields in conformally flat spacetimes do not create particles at this order.