On the Evolution of Disk-Embedded Binaries: Framing Local Models in Global Context
Philip Kirkeberg, Rixin Li, Martin E. Pessah

TL;DR
This paper develops a framework to evaluate when local shearing box simulations are valid for studying the long-term evolution of black hole binaries in AGN disks, linking local models to global disk dynamics.
Contribution
It introduces a systematic approach to assess the applicability of local shearing box models in global AGN disk contexts, aiding future realistic simulations.
Findings
Identifies conditions where global disk influence can be neglected.
Supports the use of shearing box models beyond certain radii.
Provides a method to connect local and global disk simulations.
Abstract
The disks of Active Galactic Nuclei (AGN) have in recent years been recognized as possible sites for gravitational wave sources, leading to a series of numerical studies on the evolution of disk-embedded black hole binaries. The majority of these works have been carried out so far using the shearing box, a local Cartesian domain co-rotating with the binary center-of-mass around the supermassive black hole. The local nature of this framework allows for focusing computational power close to the binary at the expense of detaching the gas flow around the binary from the global dynamics. In this paper, we provide a framework to assess the applicability of the shearing box for studying the long-term evolution of the orbital elements of the embedded binary in viscous hydrodynamic disks. We accomplish this by identifying the conditions under which relevant global timescales are longer than the…
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Taxonomy
TopicsPulsars and Gravitational Waves Research · Astrophysical Phenomena and Observations · Gamma-ray bursts and supernovae
