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.
On Relativistic Multipole Moments of Stationary Spacetimes
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abstract
Among the known exact solutions of Einstein vacuum field equations the Manko-Novikov and the Quevedo-Mashhoon metrics might be suitable ones for the description of the exterior gravitational field of some real non-collapsed body. A new proposal to represent such exterior field is the stationary q-metric. In this contribution, we computed by means of the Fodor-Hoenselaers-Perjes formalism the lowest ten relativistic multipole moments of these metrics. Corresponding moments were derived for the static vacuum solutions of Gutsunayev-Manko and Hernandez-Martin. A direct comparison between the multipole moments of these non-isometric spacetimes is given.
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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.