Published December 29, 2022 | Version public
Journal Article

Multipole moments on the common horizon in a binary-black-hole simulation

  • 1. ROR icon Cornell University
  • 2. ROR icon International Centre for Theoretical Sciences
  • 3. ROR icon Pennsylvania State University
  • 4. ROR icon California Institute of Technology
  • 5. ROR icon Max Planck Institute for Gravitational Physics

Abstract

We construct the covariantly defined multipole moments on the common horizon of an equal-mass, nonspinning, quasicircular binary-black-hole system. We see a strong correlation between these multipole moments and the gravitational waveform. We find that the multipole moments are well described by the fundamental quasinormal modes at sufficiently late times. For each nonzero multipole moment with ℓ ≤ 6, at least two fundamental quasinormal modes of different ℓ are detectable in the best model. These models provide faithful estimates of the true mass and spin of the remnant black hole. We also show that by including overtones, the ℓ = m = 2 mass multipole moment admits an excellent quasinormal-mode description at all times after the merger. This demonstrates the perhaps surprising power of perturbation theory near the merger.

Additional Information

We thank Abhay Ashtekar, Bangalore Sathyaprakash, Ssohrab Borhanian, Leo Stein, and Robert Owen for useful discussions. Computations for this work were performed with the Wheeler cluster at Caltech and the Bridges system (and XSEDE) at the Pittsburgh Supercomputing Center (PSC). This work was supported in part by the Sherman Fairchild Foundation and by NSF Grants No. PHY-2011961, No. PHY-2011968, and No. OAC-1931266 at Caltech, as well as NSF Grants No. PHY-1912081, No. OAC-1931280, and No. PHY-2209655 at Cornell. This work was also supported by NSF Grant No. PHY-1806356, No. PHY-2012083, the Eberly Chair funds of Penn State University, and the Mebus Fellowship to N. K. P. K. acknowledges support of the Department of Atomic Energy, Government of India, under Project No. RTI4001, and of the Ashok and Gita Vaish Early Career Faculty Fellowship at the International Centre for Theoretical Sciences.

Additional details

Identifiers

Eprint ID
119172
Resolver ID
CaltechAUTHORS:20230209-988069100.5

Related works

Funding

Sherman Fairchild Foundation
NSF
PHY-2011961
NSF
PHY-2011968
NSF
OAC-1931266
NSF
PHY-1912081
NSF
OAC-1931280
NSF
PHY-2209655
NSF
PHY-1806356
NSF
PHY-2012083
Pennsylvania State University
Department of Atomic Energy (India)
RTI4001
International Centre for Theoretical Sciences

Dates

Created
2023-03-15
Created from EPrint's datestamp field
Updated
2023-03-15
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
TAPIR , Physics Department