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In the Einstein gravity, besides the usual gravitational and centrifugalpotential there is an additional attractive term that couples these twotogether. It is fun to enquire whether the latter could fully counteract thecentrifugal repulsion everywhere making the spacetime completely free of thecentrifugal acceleration. We present here such a curious spacetime metric andit produces a global monopole like stresses going as $~1/r^2$ in an AdSspacetime.

A curious spacetime entirely free of centrifugal acceleration