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Remarks on a five-dimensional Kaluza-Klein theory of the massive Dirac monopole

Ion I. Cotăescu
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Abstract

The Gross-Perry-Sorkin spacetime, formed by the Euclidean Taub-NUT space with the time trivially added, is the appropriate background of the Dirac magnetic monopole without an explicit mass term. One remarks that there exists a very simple five-dimensional metric of spacetimes carrying massive magnetic monopoles that is an exact solution of the vacuum Einstein equations. Moreover, the same isometry properties as the original Euclidean Taub-NUT space are preserved. This leads to an Abelian Kaluza-Klein theory whose metric appears as a combinations between the Gross-Perry-Sorkin and Schwarzschild ones. The asymptotic motion of the scalar charged test particles is discussed, now by accounting for the mixing between the gravitational and magnetic effects.

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Ion I. Cotăescu. 2005-02-23. Remarks on a five-dimensional Kaluza-Klein theory of the massive Dirac monopole. https://doi.org/10.1103/physrevd.72.044007

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