The Poincaré and BMS flux-balance laws with application to binary systems
arXiv:1912.03164 · doi:10.1007/JHEP10(2020)116
Abstract
Asymptotically flat spacetimes admit both supertranslations and Lorentz transformations as asymptotic symmetries. Furthermore, they admit super-Lorentz transformations, namely superrotations and superboosts, as outer symmetries associated with super-angular momentum and super-center-of-mass charges. In this paper, we present comprehensively the flux-balance laws for all such BMS charges. We distinguish the Poincaré flux-balance laws from the proper BMS flux-balance laws associated with the three relevant memory effects defined from the shear, namely, the displacement, spin and center-of-mass memory effects. We scrutinize the prescriptions used to define the angular momentum and center-of-mass. In addition, we provide the exact form of all Poincaré and proper BMS flux-balance laws in terms of radiative symmetric tracefree multipoles. Fluxes of energy, angular momentum and octupole super-angular momentum arise at 2.5PN, fluxes of quadrupole supermomentum arise at 3PN and fluxes of momentum, center-of-mass and octupole super-center-of-mass arise at 3.5PN. We also show that the BMS flux-balance laws lead to integro-differential consistency constraints on the radiation-reaction forces acting on the sources. Finally, we derive the exact form of all BMS charges for both an initial Kerr binary and a final Kerr black hole in an arbitrary Lorentz and supertranslation frame, which allows to derive exact constraints on gravitational waveforms produced by binary black hole mergers from each BMS flux-balance law.
arXiv comment32 pages + appendices; v2: minor changes, improved version; v3: published version, refs added; v4: Erratum version: typos corrected
References in corpus (64)
- Black Hole Entropy is Noether Charge
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- An Effective Field Theory of Gravity for Extended Objects
- On BMS Invariance of Gravitational Scattering
- A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
- Aspects of the BMS/CFT correspondence
- Covariant theory of asymptotic symmetries, conservation laws and central charges
- Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
- The SXS Collaboration catalog of binary black hole simulations
- The Effective Field Theorist's Approach to Gravitational Dynamics
- BMS charge algebra
- Asymptotic symmetries and subleading soft graviton theorem
- Gravitational radiation from compact binary systems: gravitational waveforms and energy loss to second post-Newtonian order
- Superrotation Charge and Supertranslation Hair on Black Holes
- New Gravitational Memories
- A holographic reduction of Minkowski space-time
- Conserved charges of the extended Bondi-Metzner-Sachs algebra
- New symmetries for the Gravitational S-matrix
- Detecting gravitational-wave memory with LIGO: implications of GW150914
- Superboost transitions, refraction memory and super-Lorentz charge algebra
- Post-Newtonian corrections to the gravitational-wave memory for quasicircular, inspiralling compact binaries
- The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits
- Bondi-Sachs Formalism
- High-accuracy mass, spin, and recoil predictions of generic black-hole merger remnants
- A perturbative and gauge invariant treatment of gravitational wave memory
- Shaving off Black Hole Soft Hair
- Subleading soft photons and large gauge transformations
- Finite BMS transformations
- Searching for gravitational wave memory bursts with the Parkes Pulsar Timing Array
- Spin memory effect for compact binaries in the post-Newtonian approximation
- Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity
- Thanks for the memory: measuring gravitational-wave memory in the first LIGO/Virgo gravitational-wave transient catalog
- Null infinity, the BMS group and infrared issues
- Vacua of the gravitational field
- Gravitational memory in binary black hole mergers
- Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
- Non-linear multipole interactions and gravitational-wave octupole modes for inspiralling compact binaries to third-and-a-half post-Newtonian order
- Persistent gravitational wave observables: general framework
- Superrotations and Black Hole Pair Creation
- Classical static final state of collapse with supertranslation memory
- NANOGrav Constraints on Gravitational Wave Bursts with Memory
- Comparing Gravitational Waveform Extrapolation to Cauchy-Characteristic Extraction in Binary Black Hole Simulations
- Gravitational multipole moments from Noether charges
- Extensions of the asymptotic symmetry algebra of general relativity
- Infinite towers of supertranslation and superrotation memories
- Flux-balance equations for linear momentum and center-of-mass position of self-gravitating post-Newtonian systems
- Intrinsic angular momentum in general relativity
- The sky pattern of the linearized gravitational memory effect
- Compact binary coalescences: The subtle issue of angular momentum
- Double-soft graviton amplitudes and the extended BMS charge algebra
- Comments on Lorentz Transformations, Dressed Asymptotic States and Hawking Radiation
- Compact Binary Waveform Center-of-Mass Corrections
- Coulombic contribution to the flux of angular momentum in general relativity
- Geodesics in spacetimes with expanding impulsive gravitational waves
- Numerical evolutions of fields on the 2-sphere using a spectral method based on spin-weighted spherical harmonics
- Memory Effect and BMS-like Symmetries for Impulsive Gravitational Waves
- The global uniqueness and -regularity of geodesics in expanding impulsive gravitational waves
- Refraction of geodesics by impulsive spherical gravitational waves in constant-curvature spacetimes with a cosmological constant
- An interpretation of Robinson-Trautman type N solutions
- Surface-integral expressions for the multipole moments of post-Newtonian sources and the boosted Schwarzschild solution
- Spin and Center of mass comparison between the PN approach and the asymptotic formulation
- Intrinsic angular momentum for radiating spacetimes which agrees with the Komar integral in the axisymmetric case
- Kerr Black Holes and Nonlinear Radiation Memory
- A disintegrating cosmic string
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- Carrollian Perspective on Celestial Holography
- The Weyl BMS group and Einstein's equations
- The Holographic Nature of Null Infinity
- Null boundary phase space: slicings, news and memory
- Radiated Angular Momentum and Dissipative Effects in Classical Scattering
- Adding Gravitational Memory to Waveform Catalogs using BMS Balance Laws
- The SAGEX Review on Scattering Amplitudes, Chapter 11: Soft Theorems and Celestial Amplitudes
- Brown-York charges at null boundaries
- BMS Flux Algebra in Celestial Holography
- Charge Algebra in Al(A)dS Spacetimes
- Conservation and Integrability in Lower-Dimensional Gravity
- Fixing the BMS Frame of Numerical Relativity Waveforms
- Angular momentum of zero-frequency gravitons
- Fixing the BMS frame of numerical relativity waveforms with BMS charges
- Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
- Gravitational-wave memory effects in Brans-Dicke theory: Waveforms and effects in the post-Newtonian approximation
- Gravitational breathing memory and dual symmetries
- A Review of Gravitational Memory and BMS Frame Fixing in Numerical Relativity
- Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes
- Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study
- The Precession Caused by Gravitational Waves
- Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
- A note on dual gravitational charges
- Light-ray operators, detectors and gravitational event shapes
- Gravitational memory effects in Chern-Simons modified gravity
- Wald-Zoupas prescription with (soft) anomalies
- Detecting the gravitational wave memory effect with TianQin
- Metric reconstruction from celestial multipoles
- Multipole expansion of gravitational waves: memory effects and Bondi aspects
- Celestial Holography: Lectures on Asymptotic Symmetries
- Finite Charges from the Bulk Action
- A Supertranslation-Invariant Formula for the Angular Momentum Flux in Gravitational Scattering
- "Conserved charges" of the Bondi-Metzner-Sachs algebra in the Brans-Dicke theory
- Supertranslation-Invariant Dressed Lorentz Charges
- Conserved charges in Chern-Simons modified theory and memory effects
- Quasi-Keplerian parametrization for eccentric compact binaries in scalar-tensor theories at second post-Newtonian order and applications
- Celestial charges and the subleading structure of asymptotically-flat spacetimes
- Radiation Reaction for Non-Spinning Bodies at 4.5PN in the Effective Field Theory Approach
- Null Infinity and Horizons: A New Approach to Fluxes and Charges
- Memory effects from holonomies
- Gravitational memory effects and higher derivative actions
- Black Hole Shadow with Soft Hair
- Gravitational memory effects in Brans-Dicke theory
- Unified Treatment of null and Spatial Infinity IV: Angular Momentum at Null and Spatial Infinity
- Angular momentum and memory effect
- Higher memory effects and the post-Newtonian calculation of their gravitational-wave signals
- Gravitational memory: new results from post-Newtonian and self-force theory
- Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order
- Infrared Effects in the Late Stages of Black Hole Evaporation
- Definitions of (super) angular momentum in asymptotically flat spacetimes: Properties and applications to compact-binary mergers
- Higher Memory Effects in Numerical Simulations of Binary Black Hole Mergers
- Gyroscopic Gravitational Memory from quasi-circular binary systems
- ADM, BMS, and some puzzling interconnections
- One-loop partition function of gravity with leaky boundary conditions
- Gravitational waves from quasielliptic compact binaries in scalar-tensor theory to one-and-a-half post-Newtonian order
- Field-dependent diffeomorphisms and the transformation of surface charges between gauges
- On the Definition of the Spin Charge in Asymptotically-Flat Spacetimes
- Constants of motion in gravitational self-force theory
- Supertranslation ambiguity in post-Minkowskian expansion
- On the angular momentum of compact binary coalescence
- Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates
- Tidal effects in the total flux and waveform in massless scalar-tensor theories to, respectively, relative 2PN and 1.5PN orders
- Modeling the BMS transformation induced by a binary black hole merger
- A Quasigroup Approach for Conservation Laws in Asymptotically Flat Spacetimes
- Lorentz Covariant Supertranslation Frames for the Angular Momentum Aspect
- Hamiltonian normal forms for the post-Newtonian binary problem
- Note on post-Minkowskian expansion and Bondi coordinates
- Fixing the center-of-mass frame of numerical relativity waveforms using the post-Newtonian center-of-mass charge