A curious spacetime entirely free of centrifugal acceleration

TL;DR

This paper introduces a novel spacetime metric in Einstein gravity that eliminates centrifugal acceleration everywhere, featuring monopole-like stresses in an AdS background, challenging traditional notions of centrifugal effects.

Contribution

It presents a new spacetime solution where centrifugal acceleration is entirely counteracted, a unique configuration not previously documented.

Findings

Spacetime metric free of centrifugal acceleration everywhere

Presence of monopole-like stresses in the solution

Applicable in an AdS spacetime context

Abstract

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