Rotating detectors in dS and AdS spacetimes
K. Hari and Dawood Kothawala
Phys. Rev. D 109, 104073 (2024) - Published 24 May, 2024
We analyze several aspects of detectors with uniform acceleration and uniform rotation in de Sitter () and anti–de Sitter () spacetimes, focusing particularly on the periodicity, in (Euclidean) proper time , of geodesic interval between two events on the trajectory. For , is periodic in for specific values of and . These results are used to obtain numerical plots for the response rate of Unruh-DeWitt detectors, which display nontrivial combined effects of rotation and curvature through the dimensionless parameter . In particular, periodicity does not imply thermality due to additional poles in the Wightman function away from the imaginary axis. We then present some results for stationary rotational motion in arbitrary curved spacetime, as a perturbative expansion in curvature.