Source integrals of asymptotic multipole moments
Norman G\"urlebeck
TL;DR
This paper derives source integrals for asymptotic multipole moments in static, axially symmetric spacetimes, providing tools to analyze gravitational fields near spatial infinity without restricting matter content.
Contribution
It introduces a method to compute source integrals for multipole moments in static, axially symmetric spacetimes, applicable to general matter distributions.
Findings
Derived source integrals for multipole moments near spatial infinity
Applicable to non-singular, isolated sources without matter restrictions
Outlines potential applications in gravitational field analysis
Abstract
We derive source integrals for multipole moments that describe the behaviour of static and axially symmetric spacetimes close to spatial infinity. We assume isolated non-singular sources but will not restrict the matter content otherwise. Some future applications of these source integrals of the asymptotic multipole moments are outlined as well.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Pulsars and Gravitational Waves Research · Cosmology and Gravitation Theories