Paul Colby
Science Advisor
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PeterDonis said:Essentially no average motion of the object as a whole. But individual atoms in the object are certainly moving: that is what "strain" means.
Yes, and your statement very helpful and reminds me why I work in the TT gauge. How is the word "moving" defined in your statement? In the TT gauge with the interatomic forces set to zero (for argument sake) the atoms remain stationary with respect to the chosen coordinates while the interatomic distances change by virtue of the metric strain. This geometrically strained configuration of atoms will have a displacement current and associated electric fields. All this happens with the atoms stationary wrt the chosen coordinates.
Clearly the interatomic forces are at play so even in TT coordinates the atoms will accelerate with the acceleration govern by the equations of motion given in post #29. One must solve this dynamical problem in order to have a complete picture.