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arXiv · 1606.07173

On Relativistic Multipole Moments of Stationary Spacetimes

Francisco Frutos-Alfaro·Michael Soffel
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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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Francisco Frutos-Alfaro, Michael Soffel. 2016-06-23. On Relativistic Multipole Moments of Stationary Spacetimes. https://doi.org/10.1098/rsos.180640

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