# Gravitational multipole moments from Noether charges

@article{Compre2017GravitationalMM,
title={Gravitational multipole moments from Noether charges},
author={G. Comp{\e}re and R. Oliveri and A. Seraj},
journal={Journal of High Energy Physics},
year={2017},
volume={2018},
pages={1-40}
}`
• Published 2017
• Physics
• Journal of High Energy Physics
A bstractWe define the mass and current multipole moments for an arbitrary theory of gravity in terms of canonical Noether charges associated with specific residual transformations in canonical harmonic gauge, which we call multipole symmetries. We show that our definition exactly matches Thorne’s mass and current multipole moments in Einstein gravity, which are defined in terms of metric components. For radiative configurations, the total multipole charges — including the contributions from… Expand

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#### References

SHOWING 1-10 OF 91 REFERENCES
Multipole charge conservation and implications on electromagnetic radiation
A bstractIt is shown that conserved charges associated with a specific subclass of gauge symmetries of Maxwell electrodynamics are proportional to the well known electric mul-tipole moments. TheExpand
On the multipole expansion of the gravitational field
The multipole expansion (in general relativity) of the gravitational field generated by a slowly-moving isolated source is constructed. We introduce some definitions for the source multipole moments,Expand
Static axisymmetric spacetimes with prescribed multipole moments
• Physics
• 2005
In this thesis we study multipole moments of axisymmetric spacetimes. Using the recursive definition of the multipole moments of Geroch and Hansen we develop a method for computing all multipoleExpand
Multipole analysis for electromagnetism and linearized gravity with irreducible Cartesian tensors.
• Physics, Medicine
• Physical review. D, Particles and fields
• 1991
The greater algebraic transparence of the Cartesian multipole approach has allowed us to obtain, for the first time, fully correct closed-form expressions for the time-dependent mass and spin multipole moments in the more complicated linearized gravity case. Expand
Multipole Moments. II. Curved Space
Multipole moments are defined for static, asymptotically flat, source‐free solutions of Einstein's equations. The definition is completely coordinate independent. We take one of the 3‐surfaces V,Expand
Multipole moments of stationary space-times
Multipole moments are defined for stationary, asymptotically flat, source‐free solutions of Einstein's equation. There arise two sets of multipole moments, the mass moments and the angular momentumExpand
Surface-integral expressions for the multipole moments of post-Newtonian sources and the boosted Schwarzschild solution
• Physics
• 2005
New expressions for the multipole moments of an isolated post-Newtonian source, in the form of surface integrals in the outer near-zone, are derived. As an application we compute the 'source'Expand
Debye potentials for the gravitational field
• Physics
• 1971
Abstract Debye potentials for the gravitational field of a bounded system are given. The field equations of the linearized theory of gravitation are written in a form very similar to Maxwell'sExpand
Multipole moments of axisymmetric electrovacuum spacetimes
• Physics
• 1990
The electromagnetic and gravitational multipole moments of stationary sources in general relativity are obtained in the conformal picture in terms of the expansion coefficients of the electrovacuumExpand
Post-Newtonian generation of gravitational waves.
• Physics
• 1989
This paper derives a new multipole-moment gravitational wave generation formalism for slowly moving, weakly stressed, weakly self-gravitating systems. In this formalism the first-post-Newtonian (O(vExpand