A gravitational analog of the Dirac monopole

Abstract

We present an exact analogy between rotation in stationary geometries and magnetic fields based on a natural decomposition of spacetime into space and time in the spirit of Kaluza-Klein theories. This analogy provides a framework for the discussion of gravitational monopoles. We present a general argument to show that gravitational monopoles violate causality. We also clarify related issues raised recently in the literature.