Gravitational analogues of magnetic monopoles from the pathdependent formalism
Abstract
The possibility of gravitational monopoles (i.e., particles acting as sources of the dual Riemannian tensor) is considered using Mandelstam's (1966) pathdependent formulation of the gravitational field. It is shown that in the pathdependent 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 Diraclike quantization condition, with electric charge replaced by spin. It is suggested that energymomentum 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 steadystate cosmology, and that gravitational monopoles might be involved in both the creation and destruction of particles, particularly in association with strong black holes.
 Publication:

Nuovo Cimento Lettere
 Pub Date:
 August 1978
 Bibcode:
 1978NCimL..22..597M
 Keywords:

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