On relativistic multipole moments of stationary space–times-Reference-Cited by-同舟云学术

On relativistic multipole moments of stationary space–times

Published:2018-07 Issue:7 Volume:5 Page:180640
ISSN:2054-5703
Container-title:Royal Society Open Science
language:en
Short-container-title:R. Soc. open sci.

Author:

Frutos-Alfaro Francisco¹^ORCID,Soffel Michael²

Affiliation:

1. School of Physics and Space Research Center of the University of Costa Rica, San Jose, Costa Rica

2. Technical University Dresden and Lohrmann Observatory, Dresden, Germany

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.

Funder

the Research Vice-Rectory of the University of Costa Rica and by the Lohrmann Observatory

Publisher

The Royal Society

Subject

Multidisciplinary

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.180640

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