On Relativistic Multipole Moments of Stationary Spacetimes
Francisco Frutos-Alfaro, Michael Soffel
TL;DR
This paper computes and compares the lowest ten relativistic multipole moments of various stationary vacuum solutions in Einstein's theory, providing insights into their gravitational field structures.
Contribution
It introduces a new stationary q-metric and calculates its multipole moments, comparing them with existing solutions to better understand their physical differences.
Findings
Computed the lowest ten multipole moments for several metrics.
Provided a direct comparison of multipole structures of different solutions.
Enhanced understanding of gravitational fields of non-collapsed bodies.
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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