Rotation in stellar interiors: General formulation and an asteroseismic-calibrated transport by the Tayler instability

Abstract

Context: Asteroseismic measurements of the internal rotation of evolved stars indicate that at least one unknown efficient angular momentum (AM) transport mechanism is needed in stellar radiative zones. Aims: We investigate the impact of AM transport by the magnetic Tayler instability as a possible candidate for such a missing mechanism. Methods: We derived general equations for AM transport by the Tayler instability to be able to test different versions of the Tayler-Spruit (TS) dynamo. Results: These general equations highlight, in a simple way, the key role played by the adopted damping timescale of the azimuthal magnetic field on the efficiency of the resulting AM transport. Using this framework, we first show that the original TS dynamo provides an insufficient coupling in low-mass red giants that have a radiative core during the main sequence (MS), as was found previously for more massive stars that develop a convective core during the MS. We then derived a new calibrated version of the original TS dynamo and find that the damping timescale adopted for the azimuthal field in the original TS dynamo has to be increased by a factor of about 200 to correctly reproduce the core rotation rates of stars on the red giant branch (RGB). This calibrated version predicts no correlation of the core rotation rates with the stellar mass for RGB stars in good agreement with asteroseismic observations. Moreover, it correctly reproduces the core rotation rates of clump stars similarly to a revised prescription proposed recently. Interestingly, this new calibrated version of the TS dynamo is found to be in slightly better agreement with the core rotation rates of sub-giant stars, while simultaneously better accounting for the evolution of the core rotation rates along the RGB compared to the revised dynamo version. These results were obtained with both the Geneva and the MESA stellar evolution codes.

arXiv comment5 pages, 4 figures, published in A&A

References in corpus (36)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions
• Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• Dynamo action by differential rotation in a stably stratified stellar interior
• Fast core rotation in red-giant stars revealed by gravity-dominated mixed modes
• Spin down of the core rotation in red giants
• Seismic evidence for a rapidly rotating core in a lower-giant-branch star observed with Kepler
• Slowing the Spins of Stellar Cores
• Seismic constraints on the radial dependence of the internal rotation profiles of six Kepler subgiants and young red giants
• Seismic diagnostics for transport of angular momentum in stars 1. Rotational splittings from the PMS to the RGB
• Angular momentum transport within evolved low-mass stars
• Angular momentum transport in stellar interiors constrained by rotational splittings of mixed modes in red giants
• Stellar Evolution with Rotation and Magnetic Fields IV: The Solar Rotation Profile
• Seismic evidence for a weak radial differential rotation in intermediate-mass core helium burning stars
• Core rotation braking on the red giant branch for various mass ranges
• Understanding angular momentum transport in red giants: the case of KIC 7341231
• Internal rotation of the red-giant star KIC 4448777 by means of asteroseismic inversion
• Constraining the efficiency of angular momentum transport with asteroseismology of red giants: the effect of stellar mass
• Asteroseismology of evolved stars to constrain the internal transport of angular momentum II. Test of a revised prescription for transport by the Tayler instability
• Seismic evidence for near solid-body rotation in two Kepler subgiants and implications for angular momentum transport
• Modeling of Magneto-Rotational Stellar Evolution I. Method and first applications
• Rotation rate of the solar core as a key constraint to magnetic angular momentum transport in stellar interiors
• Asteroseismology of evolved stars to constrain the internal transport of angular momentum. I. Efficiency of transport during the subgiant phase
• Internal rotation of 13 low-mass low-luminosity red giants in the Kepler field
• Rotation of Giant Stars
• Near-degeneracy effects on the frequencies of rotationally-split mixed modes in red giants
• Asteroseismology of evolved stars to constrain the internal transport of angular momentum. III. Using the rotation rates of intermediate-mass stars to test the Fuller-formalism
• Constraining transport of angular momentum in stars: Combining asteroseismic observations of core helium burning stars and white dwarfs
• A Diagnostic for Localizing Red Giant Differential Rotation
• Core-Envelope Coupling in Intermediate-Mass Core-Helium Burning Stars
• Asteroseismology of evolved stars to constrain the internal transport of angular momentum. IV. Internal rotation of Kepler 56 from an MCMC analysis of the rotational splittings
• Asteroseismology of evolved stars to constrain the internal transport of angular momentum. V. Efficiency of the transport on the red giant branch and in the red clump
• The Tayler Instability in the Anelastic Approximation
• Stability of toroidal magnetic fields in stellar interiors

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