Source integrals of asymptotic multipole moments

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.

arXiv comment9 pages, 1 figure, contribution to the proceedings of the conference "Relativity and Gravitation - 100 Years after Einstein in Prague", June 25-29, 2012, Prague

References in corpus (5)

• Gravitational Lensing in Astronomy
• Gravitational bending of light by planetary multipoles and its measurement with microarcsecond astronomical interferometers
• Progress in relativistic gravitational theory using the inverse scattering method
• Dirichlet Boundary Value Problems of the Ernst Equation
• Source integrals for multipole moments in static and axially symmetric spacetimes