Global Gravitational Instabilities in Discs with Infall
D. Harsono (1), R. D. Alexander (1, 2), Yuri Levin (1, 3, 4), ((1), Leiden Observatory, (2) University of Leicester, (3) Lorentz Institute, (4), Monash University)

TL;DR
This study uses 3D hydrodynamics to show that global gravitational instabilities in protostellar discs with infall significantly enhance angular momentum transport and accretion, driven by vertical shear at the disc-envelope interface.
Contribution
It demonstrates that infall induces dominant global gravitational instabilities, increasing accretion torques compared to isolated discs, highlighting a key mechanism in star formation.
Findings
Global gravitational instabilities dominate angular momentum transport with infall.
Accretion torques are several times larger in infalling discs than isolated ones.
Vertical shear at the disc-envelope interface drives the instability.
Abstract
Gravitational instability plays an important role in driving gas accretion in massive protostellar discs. Particularly strong is the global gravitational instability, which arises when the disc mass is of order 0.1 of the mass of the central star and has a characteristic spatial scale much greater than the disc's vertical scale-height. In this paper we use three-dimensional numerical hydrodynamics to study the development of gravitational instabilities in a disc which is embedded in a dense, gaseous envelope. We find that global gravitational instabilities are the dominant mode of angular momentum transport in the disc with infall, in contrast to otherwise identical isolated discs. The accretion torques created by low-order, global modes of the gravitational instability in a disc subject to infall are larger by a factor of several than an isolated disc of the same mass. We show that…
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