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Symmetric Criticality and Magnetic Monopoles in General Relativity

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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… Click to show full 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.

Keywords: magnetic monopoles; general relativity; relativity; symmetric criticality; monopoles general; criticality magnetic

Journal Title: Symmetry
Year Published: 2019

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