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It is shown that quantum particle detectors are not reliable probes ofspacetime structure. In particular, they fail to distinguish between inertialand non-inertial motion in a general spacetime. To prove this, we considerdetectors undergoing circular motion in an arbitrary static sphericallysymmetric spacetime, and give a necessary and sufficient condition for theresponse function to vanish when the field is in the static vacuum state. Byexamining two particular cases, we show that there is no relation, in general,between the vanishing of the response function and the fact that the detectormotion is, or is not, geodesic. In static asymptotically flat spacetimes,however, all rotating detectors are excited in the static vacuum. Thus, in thisparticular case the static vacuum appears to be associated with a non-rotatingframe. The implications of these results for the equivalence principle areconsidered. In particular, we discuss how to properly formulate the principlefor particle detectors, and show that it is satisfied.Comment: 14 pages. Revised version, with corrections; added two references.  Accepted for publication in Class. Quantum Gra

Particle detectors, geodesic motion and the equivalence principle