The Evolution of a Supermassive Retrograde Binary Embedded in an Accretion Disk

Abstract

In this note we discuss the main results of a study of a massive binary with unequal mass ratio, q, embedded in an accretion disk, with its orbital rotation being opposed to that of the disk. When the mass ratio is sufficiently large, a gap opens in the disk, but the mechanism of gap formation is very different from the prograde case. Inward migration occurs on a timescale of tev ~ Mp/Ṁ, where Mp is the mass of the less massive component (the perturber), and Ṁ is the accretion rate. When q ≪ 1, the accretion takes place mostly onto the more massive component, with the accretion rate onto the perturber being smaller than, or of order of, q1/3Ṁ. However, this rate increases when supermassive binary black holes are considered and gravitational wave emission is important. We estimate a typical duration of time for which the accretion onto the perturber and gravitational waves could be detected.

Keywords

• accretion disks
• binaries
• hydrodynamics
• galaxies: quasars: supermassive black holes
• planet-disk interactions