We present analytical and numerical progress on black-hole binary spin precession at second post-Newtonian order using multitimescale methods. In addition to the commonly used effective spin which acts as a constant of motion, we exploit the weighted spin difference and show that such reparametrization cures the coordinate singularity that affected the previous formulation for the case of equal-mass binaries. The dynamics on the precession timescale is written down in closed form in both coprecessing and inertial frames. Radiation reaction can then be introduced in a quasiadiabatic fashion such that, at least for binaries on quasicircular orbits, gravitational inspirals reduce to solving a single ordinary differential equation. We provide a broad review of the resulting phenomenology and rewrite the relevant physics in terms of the newly adopted parametrization. This includes the spin-orbit resonances, the up-down instability, spin propagation at past time infinity, and new precession estimators to be used in gravitational-wave astronomy. Our findings are implemented in version 2 of the public Python module precession. Performing a precession-averaged post-Newtonian evolution from/to arbitrarily large separation takes ≲0.1 s on a single off-the-shelf processor - a 50× speedup compared to our previous implementation. This allows for a wide variety of applications including propagating gravitational-wave posterior samples as well as population-synthesis predictions of astrophysical nature.

Gerosa, D., Fumagalli, G., Mould, M., Cavallotto, G., Monroy, D., Gangardt, D., et al. (2023). Efficient multi-timescale dynamics of precessing black-hole binaries. PHYSICAL REVIEW D, 108(2) [10.1103/PhysRevD.108.024042].

Efficient multi-timescale dynamics of precessing black-hole binaries

Gerosa D.
;
Fumagalli G.;Cavallotto G.;De Renzis V.
2023

Abstract

We present analytical and numerical progress on black-hole binary spin precession at second post-Newtonian order using multitimescale methods. In addition to the commonly used effective spin which acts as a constant of motion, we exploit the weighted spin difference and show that such reparametrization cures the coordinate singularity that affected the previous formulation for the case of equal-mass binaries. The dynamics on the precession timescale is written down in closed form in both coprecessing and inertial frames. Radiation reaction can then be introduced in a quasiadiabatic fashion such that, at least for binaries on quasicircular orbits, gravitational inspirals reduce to solving a single ordinary differential equation. We provide a broad review of the resulting phenomenology and rewrite the relevant physics in terms of the newly adopted parametrization. This includes the spin-orbit resonances, the up-down instability, spin propagation at past time infinity, and new precession estimators to be used in gravitational-wave astronomy. Our findings are implemented in version 2 of the public Python module precession. Performing a precession-averaged post-Newtonian evolution from/to arbitrarily large separation takes ≲0.1 s on a single off-the-shelf processor - a 50× speedup compared to our previous implementation. This allows for a wide variety of applications including propagating gravitational-wave posterior samples as well as population-synthesis predictions of astrophysical nature.
Articolo in rivista - Articolo scientifico
black holes, gravitational waves
English
20-lug-2023
2023
108
2
024042
open
Gerosa, D., Fumagalli, G., Mould, M., Cavallotto, G., Monroy, D., Gangardt, D., et al. (2023). Efficient multi-timescale dynamics of precessing black-hole binaries. PHYSICAL REVIEW D, 108(2) [10.1103/PhysRevD.108.024042].
File in questo prodotto:
File Dimensione Formato  
10281-432864_VoR.pdf

accesso aperto

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Licenza: Creative Commons
Dimensione 1.09 MB
Formato Adobe PDF
1.09 MB Adobe PDF Visualizza/Apri
Gerosa-2023-Physical Review D-AAM.pdf

accesso aperto

Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Licenza: Altro
Dimensione 1.45 MB
Formato Adobe PDF
1.45 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/432864
Citazioni
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 2
Social impact