  A boundary undergoing relativistic motion can create particles from quantum
vacuum fluctuations in a phenomenon known as the dynamical Casimir effect. We
examine the creation of particles, and more generally the transformation of
quantum field states, due to boundary motion in curved spacetime. We provide a
novel method enabling the calculation of the effect for a wide range of
trajectories and spacetimes. We apply this to the experimental scenario used to
detect the dynamical Casimir effect, now adopting the Schwarzschild metric, and
find novel resonances in particle creation as a result of the spacetime
curvature. Finally, we discuss a potential enhancement of the effect for the
phonon field of a Bose-Einstein condensate.

Quantum Physics;General Relativity and Quantum Cosmology