The coordinates associated with an observer rotating with constant angular velocity ω are given by (t',...
The coordinates associated with an observer rotating with constant angular velocity ω are given by (t', r', θ') and are related to the coordinates: ds2 = -dt2 + dr2 + r2dθ2 as follows:
t = t', r' = r, θ' = θ + ωt.
Write down the metric and its inverse in these new coordinates.
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