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Does anyone have a reference or solution for a parallel plate capacitor in the Rindler metric? I'm particularly interested in the case where the capacitor plates are in the xz or yz planes, z being the direction of the acceleration.
The motivation is to get an idea how a transmission line would work in the low frequency limit in the z direction on Einstein's elevator. The inductance of the line wouldn't matter in the low frequency limit, only the capaitance. Thus knowing the solution to the capacitor problem should give information on the signal transmission. In particular, would the electric field between the plates, i.e. in the y direction, be a function of the height, z?
I am unclear if circuit theory is up to this task (I suspect not), but knowing ##F_{ab}##, i.e. the field between the plates, should be sufficient.
The motivation is to get an idea how a transmission line would work in the low frequency limit in the z direction on Einstein's elevator. The inductance of the line wouldn't matter in the low frequency limit, only the capaitance. Thus knowing the solution to the capacitor problem should give information on the signal transmission. In particular, would the electric field between the plates, i.e. in the y direction, be a function of the height, z?
I am unclear if circuit theory is up to this task (I suspect not), but knowing ##F_{ab}##, i.e. the field between the plates, should be sufficient.