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Symmetric Criticality and Magnetic Monopoles in General Relativity

Physics Department, Reed College, Portland, OR 97202, USA
Symmetry 2019, 11(7), 845; https://doi.org/10.3390/sym11070845
Received: 6 June 2019 / Revised: 22 June 2019 / Accepted: 26 June 2019 / Published: 1 July 2019
(This article belongs to the Special Issue Symmetry in Special and General Relativity)
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PDF [215 KB, uploaded 1 July 2019]

Abstract

The Weyl method for finding solutions in general relativity using symmetry by varying an action with respect to a reduced set of field variables is known to fail in some cases. We add to the list of failures by considering an application of the Weyl method to a magnetically charged spherically symmetric source, obtaining an incorrect geometry. This is surprising, because the same method, applied to electrically charged central bodies correctly produces the Reissner-Nordström spacetime. View Full-Text
Keywords: Weyl method; Palais principle of symmetric criticality; solutions to Einstein’s equations; magnetic monopole Weyl method; Palais principle of symmetric criticality; solutions to Einstein’s equations; magnetic monopole
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Franklin, J. Symmetric Criticality and Magnetic Monopoles in General Relativity. Symmetry 2019, 11, 845.

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