Gravitational multipole moments from Noether charges
arXiv:1711.08806 · doi:10.1007/JHEP05(2018)054
Abstract
We 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 the source and the radiation -- are given by surface charges at spatial infinity, while the source multipole moments are naturally identified by surface integrals in the near-zone or, alternatively, from a regularization of the Noether charges at null infinity. The conservation of total multipole charges is used to derive the variation of source multipole moments in the near-zone in terms of the flux of multipole charges at null infinity.
v1: 22 pages + 13 pages of appendices, 1 figure; v2: published version in JHEP
References in corpus (16)
- Multi-messenger Observations of a Binary Neutron Star Merger
- Superrotation Charge and Supertranslation Hair on Black Holes
- Surface charge algebra in gauge theories and thermodynamic integrability
- Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes
- Testing the black hole "no-hair" hypothesis
- Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
- Central Charges in Extreme Black Hole/CFT Correspondence
- BMS Supertranslations and Not So Soft Gravitons
- The BMS4 algebra at spatial infinity
- Covariant Counterterms and Conserved Charges in Asymptotically Flat Spacetimes
- Gravitational-wave tail effects to quartic non-linear order
- Asymptotically flat spacetimes with BMS symmetry
- Note on asymptotic symmetries and soft gluon theorems
- On the Stress Tensor for Asymptotically Flat Gravity
- Axisymmetric stationary solutions with arbitrary multipole moments
- Strolling along gauge theory vacua
Cited by in corpus (36)
- The Poincaré and BMS flux-balance laws with application to binary systems
- Science with the TianQin Observatory: Preliminary Results on Testing the No-hair Theorem with EMRI
- A double copy for asymptotic symmetries in the self-dual sector
- Goldilocks Modes and the Three Scattering Bases
- Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
- The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order
- Gravitational breathing memory and dual symmetries
- Infinite towers of supertranslation and superrotation memories
- Flat from anti-de Sitter
- A note on dual gravitational charges
- Black Hole Multipoles in Higher-Derivative Gravity
- Metric reconstruction from celestial multipoles
- Multipole expansion of gravitational waves: memory effects and Bondi aspects
- Celestial Holography: Lectures on Asymptotic Symmetries
- Conservation Laws from Asymptotic Symmetry and Subleading Charges in QED
- Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
- Calculation of multipole moments of axistationary electrovacuum spacetimes
- Multipole moments of compact objects with NUT charge: Theoretical and observational implications
- Entanglement entropy of linearized gravitons in a sphere
- More on gravitational memory
- Gravitational Multipoles in General Stationary Spacetimes
- Null Infinity and Horizons: A New Approach to Fluxes and Charges
- Gravitational memory effects and higher derivative actions
- Ehlers, Carroll, Charges and Dual Charges
- On the Various Extensions of the BMS Group
- Remarks on infinite towers of gravitational memories
- Source and Response Soft Charges for Maxwell Theory on
- Leading Higher Derivative Corrections to Multipole Moments of Kerr-Newman Black Hole
- Multiparameter multipolar test of general relativity with gravitational waves
- Gravitational multipole moments for asymptotically de Sitter spacetimes
- Energy-momentum tensor and duality symmetry of linearized gravity in the Fierz formalism
- Probing the Spin-Induced Quadrupole Moment of Massive Black Holes with the Inspiral of Binary Black Holes
- Parametrized multipolar gravitational waveforms for testing general relativity: Amplitude corrections up to 2PN order
- Entanglement entropy of a Rarita-Schwinger field in a sphere
- Higher-derivative Heterotic Kerr-Sen Black Holes
- Multipole moments in stationary spacetimes