Beyond the Equivalence Principle: Gravitational Magnetic Monopoles

We review the hypothesis on the existence of gravitational magnetic monopoles (H-poles for short) defined by analogy with Dirac’s hypothesis on magnetic monopoles in electrodynamics. These hypothetic dual particles violate the equivalence principle and are accelerated by a gravitational field. We propose an expression for the gravitational force exerted upon an H-pole. According to GR, ordinary matter (which we call E-poles) follows geodesics in a background metric \(g_{\mu\nu}\). The dual H-poles follows geodesics in an effective metric \(\hat{g}_{\mu\nu}\).