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Published on: February 25, 2013
On relativistic multipole moments of stationary space-times
Francisco Frutos-Alfaro1, Michael Soffel2
1School of Physics and Space Research Center of the University of Costa Rica, San Jose, Costa Rica.
Abstract:
Among the known exact solutions of Einstein's 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-Perjés formalism the lowest 10 relativistic multipole moments of these metrics. Corresponding moments were derived for the static vacuum solutions of Gutsunayev-Manko and Hernández-Martín. A direct comparison between the multipole moments of these non-isometric space-times is given.
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