A proposed new family of charged Taub-NUT spacetimes with a theta-dependent scalar field, built via Harrison and Ehlers transformations, but the exact-solution claim is unsupported and internally inconsistent.
Einstein-Maxwell fields generated from the gamma-metric and their limits
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abstract
Two solutions of the coupled Einstein-Maxwell field equations are found by means of the Horsky-Mitskievitch generating conjecture. The vacuum limit of those obtained classes of spacetimes is the seed gamma-metric and each of the generated solutions is connected with one Killing vector of the seed spacetime. Some of the limiting cases of our solutions are identified with already known metrics, the relations among various limits are illustrated through a limiting diagram. We also verify our calculation through the Ernst potentials. The existence of circular geodesics is briefly discussed in the Appendix.
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A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations
A proposed new family of charged Taub-NUT spacetimes with a theta-dependent scalar field, built via Harrison and Ehlers transformations, but the exact-solution claim is unsupported and internally inconsistent.