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On Relativistic Multipole Moments of Stationary Spacetimes

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arxiv 1606.07173 v5 pith:5X3N33RO submitted 2016-06-23 gr-qc

Francisco Frutos-Alfaro , Michael Soffel This is my paper · ORCID
classification gr-qc
keywords momentsfieldmultipoleexteriormetricsrelativisticsolutionsspacetimes
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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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Cited by 2 Pith papers

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  1. Shirokov and Shapiro Effects in the Hartle-Thorne Spacetime

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    In the Hartle-Thorne metric, angular momentum J and quadrupole moment Q couple radial and azimuthal oscillations in the Shirokov effect and alter Shapiro time delay, with oblate shapes increasing delay and frame-dragg...

  2. A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations

    gr-qc 2025-01 reject novelty 4.0 of 10

    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.

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