TY - JOUR

T1 - Inferring the gravitational wave memory for binary coalescence events

AU - Khera, Neev

AU - Krishnan, Badri

AU - Ashtekar, Abhay

AU - De Lorenzo, Tommaso

N1 - Publisher Copyright:
© 2021 authors. Published by the American Physical Society.

PY - 2021/2/8

Y1 - 2021/2/8

N2 - Full, nonlinear general relativity predicts a memory effect for gravitational waves. For compact binary coalescence, the total gravitational memory serves as an inferred observable, conceptually on the same footing as the mass and the spin of the final black hole. Given candidate waveforms for any LIGO-Virgo event, then one can calculate the posterior probability distribution functions for the total gravitational memory and use them to compare and contrast the waveforms. In this paper, we present these posterior distributions for the binary black hole merger events reported in the first Gravitational Wave Transient Catalog, using the phenomenological and effective-one-body waveforms. On the whole, the two sets of posterior distributions agree with each other quite well though we find larger discrepancies for the =2, m=1 mode of the memory. This signals a possible source of systematic errors that was not captured by the posterior distributions of other inferred observables. Thus, the posterior distributions of various angular modes of total memory can serve as diagnostic tools to further improve the waveforms. Analyses such as this would be valuable especially for future events as the sensitivity of ground-based detectors improves, and for LISA which could measure the total gravitational memory directly.

AB - Full, nonlinear general relativity predicts a memory effect for gravitational waves. For compact binary coalescence, the total gravitational memory serves as an inferred observable, conceptually on the same footing as the mass and the spin of the final black hole. Given candidate waveforms for any LIGO-Virgo event, then one can calculate the posterior probability distribution functions for the total gravitational memory and use them to compare and contrast the waveforms. In this paper, we present these posterior distributions for the binary black hole merger events reported in the first Gravitational Wave Transient Catalog, using the phenomenological and effective-one-body waveforms. On the whole, the two sets of posterior distributions agree with each other quite well though we find larger discrepancies for the =2, m=1 mode of the memory. This signals a possible source of systematic errors that was not captured by the posterior distributions of other inferred observables. Thus, the posterior distributions of various angular modes of total memory can serve as diagnostic tools to further improve the waveforms. Analyses such as this would be valuable especially for future events as the sensitivity of ground-based detectors improves, and for LISA which could measure the total gravitational memory directly.

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U2 - 10.1103/PhysRevD.103.044012

DO - 10.1103/PhysRevD.103.044012

M3 - Article

AN - SCOPUS:85100994072

SN - 2470-0010

VL - 103

JO - Physical Review D

JF - Physical Review D

IS - 4

M1 - 044012

ER -