Higher memory effects and the post-Newtonian calculation of their gravitational-wave signals

Abstract

A new hierarchy of lasting gravitational-wave effects (the higher memory effects) was recently identified in asymptotically flat spacetimes, with the better-known displacement, spin, and center-of-mass memory effects included as the lowest two orders in the set of these effects. These gravitational-wave observables are determined by a set of temporal moments of the news tensor, which describes gravitational radiation from an isolated source. The moments of the news can be expressed in terms of changes in charge-like expressions and integrals over retarded time of flux-like terms, some of which vanish in the absence of radiation. In this paper, we compute expressions for the flux-like contributions to the moments of the news in terms of a set of multipoles that characterize the gravitational-wave strain. We also identify a part of the strain that gives rise to these moments of the news. In the context of post-Newtonian theory, we show that the strain related to the moments of the news is responsible for the many nonlinear, instantaneous terms and "memory" terms that appear in the post-Newtonian expressions for the radiative multipole moments of the strain. We also apply our results to compute the leading post-Newtonian expressions for the moments of the news and the corresponding strains that are generated during the inspiral of compact binary sources. These results provide a new viewpoint on the waveforms computed from the multipolar post-Minkowski formalism, and they could be used to assess the detection prospects of this new class of higher memory effects.

arXiv comment42 + 8 pages, no figures

References in corpus (40)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A General Definition of "Conserved Quantities" in General Relativity and Other Theories of Gravity
• Aspects of the BMS/CFT correspondence
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• Asymptotic symmetries and subleading soft graviton theorem
• New Gravitational Memories
• 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
• Bondi-Sachs Formalism
• Nonlinear gravitational-wave memory from binary black hole mergers
• The Weyl BMS group and Einstein's equations
• Calibration Uncertainty for Advanced LIGO's First and Second Observing Runs
• A perturbative and gauge invariant treatment of gravitational wave memory
• Extended corner symmetry, charge bracket and Einstein's equations
• Spin memory effect for compact binaries in the post-Newtonian approximation
• The Poincaré and BMS flux-balance laws with application to binary systems
• Thanks for the memory: measuring gravitational-wave memory in the first LIGO/Virgo gravitational-wave transient catalog
• Computation of Displacement and Spin Gravitational Memory in Numerical Relativity
• Center-of-mass angular momentum and memory effect in asymptotically flat spacetimes
• Forecasts for detecting the gravitational-wave memory effect with Advanced LIGO and Virgo
• Adding Gravitational Memory to Waveform Catalogs using BMS Balance Laws
• The Asymptotic Behavior of Massless Fields and the Memory Effect
• Gravitational Wave Flux and Quadrupole Modes from Quasi-Circular Non-Spinning Compact Binaries to the Fourth Post-Newtonian Order
• Outlook for detecting the gravitational wave displacement and spin memory effects with current and future gravitational wave detectors
• Persistent gravitational wave observables: general framework
• Gravitational-wave memory: waveforms and phenomenology
• The Memory Remains (Undetected): Updates from the Second LIGO/Virgo Gravitational-Wave Transient Catalog
• Multipole Expansion of Gravitational Waves: from Harmonic to Bondi coordinates
• Testing Gravity with Gravitational Waves from Binary Black Hole Mergers: Contributions from Amplitude Corrections
• Persistent gravitational wave observables: Curve deviation in asymptotically flat spacetimes
• The Wald-Zoupas prescription for asymptotic charges at null infinity in general relativity
• Multipole expansion of gravitational waves: memory effects and Bondi aspects
• Metric reconstruction from celestial multipoles
• Persistent gravitational wave observables: Nonlinearities in (non-)geodesic deviation
• 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
• Climbing up the memory staircase: Equatorial zoom-whirl orbits

Cited by in corpus (6)

• Persistent gravitational wave observables: Nonlinearities in (non-)geodesic deviation
• Higher Memory Effects in Numerical Simulations of Binary Black Hole Mergers
• Gravitational-wave memory effects in the Damour-Esposito-Farèse extension of Brans-Dicke theory
• Celestial $s{w}_{1+\infty }$ algebra in Einstein-Yang-Mills theory
• Waveform models for the gravitational-wave memory effect: Extreme mass-ratio limit and final memory offset
• Waveform model for the $(\ell =2,m=0)$ spherical harmonic and the displacement memory contribution from precessing binary black holes