Recoil velocity at 2PN order for spinning black hole binaries
arXiv:0812.4413 · doi:10.1103/PhysRevD.80.044010
Abstract
We compute the flux of linear momentum carried by gravitational waves emitted from spinning binary black holes at 2PN order for generic orbits. In particular we provide explicit expressions of three new types of terms, namely next-to-leading order spin-orbit terms at 1.5 PN order, spin-orbit tail terms at 2PN order, and spin-spin terms at 2PN order. Restricting ourselves to quasi-circular orbits, we integrate the linear momentum flux over time to obtain the recoil velocity as function of orbital frequency. We find that in the so-called superkick configuration the higher-order spin corrections can increase the recoil velocity up to about a factor 3 with respect to the leading-order PN prediction. Furthermore, we provide expressions valid for generic orbits, and accurate at 2PN order, for the energy and angular momentum carried by gravitational waves emitted from spinning binary black holes. Specializing to quasi-circular orbits we compute the spin-spin terms at 2PN order in the expression for the evolution of the orbital frequency and found agreement with Mikóczi, Vasúth and Gergely. We also verified that in the limit of extreme mass ratio our expressions for the energy and angular momentum fluxes match the ones of Tagoshi, Shibata, Tanaka and Sasaki obtained in the context of black hole perturbation theory.
28 pages (PRD format), 1 figure, reference added, version published in PRD, except that the PRD version contains a sign error: the sign of the RHS of Eqs.(4.26) and (4.27) is wrong; it has been corrected in this replacement
References in corpus (20)
- Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
- Total recoil: the maximum kick from nonspinning black-hole binary inspiral
- Supermassive recoil velocities for binary black-hole mergers with antialigned spins
- Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
- Ejection of Supermassive Black Holes from Galaxy Cores
- Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
- Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
- Exploring black hole superkicks
- High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
- Anatomy of the binary black hole recoil: A multipolar analysis
- The Distribution of Recoil Velocities from Merging Black Holes
- Further insight into gravitational recoil
- Binary black hole mergers: large kicks for generic spin orientations
- Binary Black Holes: Spin Dynamics and Gravitational Recoil
- Gravitational recoil: signatures on the massive black hole population
- ADM canonical formalism for gravitating spinning objects
- Extra-Large Remnant Recoil Velocities and Spins from Near-Extremal-Bowen-York-Spin Black-Hole Binaries
- Modeling gravitational recoil from precessing highly-spinning unequal-mass black-hole binaries
- Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
- Binary black hole merger: symmetry and the spin expansion