Journal ArticleDOI
Multipole Expansions for Stationary Fields in General Relativity
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TLDR
In this article, the moments of the source in the Newtonian field with no spatial symmetries were investigated and it was shown that the stationary field contains twice the number of moments which appear in the static field, apart from the mass term.Abstract:
Stationary solutions of the Einstein field equations with no spatial symmetries are considered in order to discover the number of arbitrary constants, corresponding to the moments of the source in the Newtonian field, which appear in the solution. It is shown that the stationary field contains twice the number of moments which appear in the static field, apart from the mass term which appears singly. These additional moments are essentially angular momentum terms, which in Newtonian theory make no contribution to the field.read more
Citations
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Journal ArticleDOI
Multipole Moments in General Relativity —Static and Stationary Vacuum Solutions—
TL;DR: In this paper, the most important properties of the axisymmetric and stationary solutions of Einstein's vacuum field equations, the solution generating techniques developed in the last few years the relativistic definitions of multipole moments, and their use for obtaining and investigating static and stationary axisymetric vacuum solutions are reviewed.
Journal ArticleDOI
Explicit multipole moments of stationary axisymmetric spacetimes
TL;DR: In this article, the authors studied the multipole moments of axisymmetric stationary asymptotically flat spacetimes and showed how the tensorial recursion of Geroch and Hansen can be reduced to a recurrence of scalar functions.
Multipole Moments of Stationary Spacetimes
TL;DR: In this article, the relativistic multipole moments for stationary asymptotically flat spacetimes were studied and the authors proposed a model for describing the multipole moment for stationary spacetime.
Journal ArticleDOI
Multipole structure of stationary gravitational fields at null infinity
TL;DR: In this article, the authors investigated the multipole structure of the gravitational field produced by a stationary, isolated source at null infinity using a Bondi-type null polar coordinate system.
Journal ArticleDOI
Binary black hole systems do not interact in the Kastor-Traschen spacetime
Bing Sun,Zhoujian Cao,XiaoKai He +2 more
TL;DR: In this article, the exact physics of binary black hole merger has not been completely revealed due to the lack of exact solution for the corresponding spacetime, and only numerical solutions based on some specific coordinate for binary black holes are available.