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arXiv · 1708.05360

The (Weak) Gravitational Field of a Dirac Monopole

E. Banyas·J. Franklin
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Abstract

We establish the gravitational detectability of a Dirac monopole using a weak-field limit of general relativity, which can be developed from the Newtonian gravitational potential by including energy as a source. The resulting potential matches (by construction) the weak-field limit of two different solutions to Einstein's equations of general relativity: one associated with the magnetically monopolar spray of field lines emerging from the half-infinite solenoid that makes up the Dirac monopole, the other associated with the field-energetic source of the solenoid itself (the Dirac string). The string's gravitational effect dominates, and we suggest that the primary strong-field contribution of the Dirac configuration is that of a half-infinite line of energy, whose GR solution is known.

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E. Banyas, J. Franklin. 2017-08-17. The (Weak) Gravitational Field of a Dirac Monopole. https://doi.org/10.1088/1361-6382/aa8657

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