Classical and Quantum Gravity · 1998 · 43 citations · 17 references
Natural SciencesPhysicsDifferential EquationsGravitationRelativityEinstein Field EquationsGeneral RelativityIntegral Equation FormulationsIntegral EquationsSpecial RelativityEinstein Equations With Matter FieldsEinstein Field Equations In CosmologyExact Solutions Of Einstein's EquationsExplicit FormulaeSoliton Theory
Extended soliton solutions of the Einstein field equations obtained within the framework of Sibgatullin's integral method are further analysed. We write the metric defining such solutions in a concise form suitable for concrete applications. The general formulae relating the parameters of the solution to the axis data and corresponding relativistic multipole moments are derived.
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New Formulation of the Axially Symmetric Gravitational Field Problem
Frederick J. Ernst · Physical Review · 1968 · 867 citations
Multipole moments of stationary space-times
R. O. Hansen · Journal of Mathematical Physics · 1974 · 594 citations
Natural Sciences, Astronomy, Physics +16
Multipole Moments. II. Curved Space
Robert Geroch · Journal of Mathematical Physics · 1970 · 486 citations