# Magnetic Braking and Damping of Differential Rotation in Massive Stars

## TL;DR

This study uses general relativistic magnetohydrodynamic simulations to show that magnetic braking and turbulence in massive stars reduce differential rotation, potentially suppressing conditions needed for binary black hole formation.

## Contribution

It demonstrates how magnetic effects in massive stars can damp differential rotation, challenging previous assumptions about their role in binary black hole formation.

## Key findings

- Magnetic braking redistributes angular momentum within the star.
- Differential rotation is damped, leading to a nearly uniform core.
- The star remains in quasi-stationary equilibrium over secular timescales.

## Abstract

Fragmentation of highly differentially rotating massive stars that undergo collapse has been suggested as a possible channel for binary black hole formation. Such a scenario could explain the formation of the new population of massive black holes detected by the LIGO/VIRGO gravitational wave laser interferometers. We probe that scenario by performing general relativistic magnetohydrodynamic simulations of differentially rotating massive stars supported by thermal radiation pressure plus a gas pressure perturbation. The stars are initially threaded by a dynamically weak, poloidal magnetic field confined to the stellar interior. We find that magnetic braking and turbulent viscous damping via magnetic winding and the magnetorotational instability in the bulk of the star redistribute angular momentum, damp differential rotation and induce the formation of a massive and nearly uniformly rotating inner core surrounded by a Keplerian envelope. The core + disk configuration evolves on a secular timescale and remains in quasi-stationary equilibrium until the termination of our simulations. Our results suggest that the high degree of differential rotation required for $m=2$ seed density perturbations to trigger gas fragmentation and binary black hole formation is likely to be suppressed during the normal lifetime of the star prior to evolving to the point of dynamical instability to collapse. Other cataclysmic events, such as stellar mergers leading to collapse, may therefore be necessary to reestablish sufficient differential rotation and density perturbations to drive nonaxisymmetric modes leading to binary black hole formation.