Source Integrals for Multipole Moments in Static Spacetimes
Norman G\"urlebeck

TL;DR
This paper derives source integrals for multipole moments in static, axially symmetric, isolated spacetimes, providing tools to analyze their asymptotic behavior near spatial infinity.
Contribution
It introduces a method to compute multipole moments from source integrals in static spacetimes, enhancing understanding of their asymptotic structure.
Findings
Derived explicit source integrals for multipole moments.
Applied these integrals to analyze asymptotic properties.
Provided potential applications in gravitational physics.
Abstract
We derive source integrals for multipole moments that describe the behavior of static and axially symmetric spacetimes close to spatial infinity. We assume that the matter distribution is isolated. We outline also some applications of these source integrals of the asymptotic multipole moments.
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