Gravitational analogues of magnetic monopoles from the path-dependent formalism

Physics

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Field Theory (Physics), Gravitation Theory, Magnetic Monopoles, Mandelstam Representation, Relativity, Riemann Manifold, Tensors

Scientific paper

The possibility of gravitational monopoles (i.e., particles acting as sources of the dual Riemannian tensor) is considered using Mandelstam's (1966) path-dependent formulation of the gravitational field. It is shown that in the path-dependent framework gravitational monopoles arise in a straightforward and natural manner from a consistency requirement of the theory and that their 'charge' is quantized according to a Dirac-like quantization condition, with electric charge replaced by spin. It is suggested that energy-momentum conservation must be violated in some way if gravitational monopoles exist, that the existence of such monopoles could account for the continuous creation of matter required by steady-state cosmology, and that gravitational monopoles might be involved in both the creation and destruction of particles, particularly in association with strong black holes.

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