An improved effective-one-body Hamiltonian for spinning black-hole binaries

By E. Barausse, A. Buonanno. 2009

135 citations recorded by the source corpus.

Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning black-hole binaries. As in previous descriptions, we endow the effective particle not only with a mass $\ensuremath{\mu}$, but also with a spin ${\mathbf{S}}_{*}$. Thus, the effective particle interacts with the effective Kerr background (having spin ${\mathbf{S}}_{\mathrm{Kerr}}$) through a geodesic-type interaction and an additional spin-dependent interaction proportional to ${\mathbf{S}}_{*}$. When expanded in post-Newtonian orders, the EOB Hamiltonian reproduces the leading order spin-spin coupling and the spin-orbit coupling through 2.5 post-Newtonian order, for any mass ratio. Also, it reproduces all spin-orbit couplings in the test-particle limit. Similarly to the test-particle limit case, when we restrict the EOB dynamics to spins aligned or antialigned with the orbital angular momentum, for which circular orbits exist, the EOB dynamics has several interesting features, such as the existence of an innermost stable circular orbit, a photon circular orbit, and a maximum in the orbital frequency during the plunge subsequent to the inspiral. These properties are crucial for reproducing the dynamics and gravitational-wave emission of spinning black-hole binaries, as calculated in numerical relativity simulations.

Subfields: Astronomy and Astrophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/e7e4e4d1e0785f63f226c51c9296e0c3e33b9a85

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Citations in the corpus

Binary Black Hole Mergers in the First Advanced LIGO Observing Run (2016, methodology): “[29] E.”
The evolution of massive black holes and their spins in their galactic hosts (2012, methodology): “…the gravitational waveforms (see for instance the effective-one-body approach, e.g. Buonanno & Damour (1999); Damour, Jaranowski, & Schäfer (2008); Barausse & Buonanno (2010); Pan et al. (2011), or the hybrid waveforms, e.g. Santamarı́a et al. (2010)), the kick velocity (Baker et al. 2007, 2008;…”
Observables and amplitudes for spinning particles and black holes (2019, unknown): “Incorporating spin into a major theoretical platform for these experiments, the effective one-body formalism [16, 17], is well established in the PN approximation [18–24], and was recently extended to the PM approximation by means of a gauge-invariant spin holonomy [25].”
GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs (2018, background): “[42] Enrico Barausse and Alessandra Buonanno, “An Improved effective-one-body Hamiltonian for spinning black-hole binaries,” Phys.”
THE FINAL SPIN FROM BINARY BLACK HOLES IN QUASI-CIRCULAR ORBITS (2016, methodology): “Moreover, for equal masses (q = 1), the leading-order PN spin effects in the conservative sector (i.e., the leading-order spin-orbit coupling) enter the dynamics only through the combination L̂ · S/M2 = atot(β, γ, 1) ∝ aeff(β, γ, 1) (see e.g., Damour 2001; Barausse & Buonanno 2010), where a “hat” de”