Asymptotic theory of gravity modes in rotating stars II. Impact of general differential rotation

Abstract

Context. Differential rotation has a strong influence on stellar internal dynamics and evolution, notably by triggering hydrodynamical instabilities, by interacting with the magnetic field, and more generally by inducing transport of angular momentum and chemical elements. Moreover, it modifies the way waves propagate in stellar interiors and thus the frequency spectrum of these waves, the regions they probe, and the transport they generate. Aims. We investigate the impact of a general differential rotation (both in radius and latitude) on the propagation of axisymmetric gravito-inertial waves. Methods. We use a small-wavelength approximation to obtain a local dispersion relation for these waves. We then describe the propagation of waves thanks to a ray model that follows a Hamiltonian formalism. Finally, we numerically probe the properties of these gravito-inertial rays for different regimes of radial and latitudinal differential rotation. Results. We derive a local dispersion relation that includes the effect of a general differential rotation. Subsequently, considering a polytropic stellar model, we observe that differential rotation allows for a large variety of resonant cavities that can be probed by gravito-inertial waves. We identify that for some regimes of frequency and differential rotation, the properties of gravito-inertial rays are similar to those found in the uniformly rotating case. Furthermore, we also find new regimes specific to differential rotation, where the dynamics of rays is chaotic. Conclusions. As a consequence, we expect modes to follow the same trend. Some parts of oscillation spectra corresponding to regimes similar to those of the uniformly rotating case would exhibit regular patterns, while parts corresponding to the new regimes would be mostly constituted of chaotic modes with a spectrum rather characterised by a generic statistical distribution.

17 pages, 12 figures, accepted for publication in A&A

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Cited by in corpus (13)

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• Angular Momentum Transport in Stellar Interiors
• On the sensitivity of gravito-inertial modes to differential rotation in intermediate-mass main-sequence stars
• Period spacings of $\gamma$ Doradus pulsators in the \textit{Kepler} field: Rossby and gravity modes in 82 stars
• Effect of a strong magnetic field on gravity-mode period spacings in red giant stars
• Magneto-gravity wave packet dynamics in strongly magnetised cores of evolved stars
• The Traditional Approximation of Rotation including the centrifugal acceleration for slightly deformed stars
• The traditional approximation of rotation for rapidly rotating stars and planets. II. Deformation and differential rotation
• Mode coupling coefficients between the convective core and radiative envelope of $\gamma$Doradus and slowly pulsating B stars
• Constraining differential rotation in gamma Doradus stars from inertial dips properties
• Exploring the probing power of gamma-Dor's inertial dip for core magnetism: case of a toroidal field
• Co-existence of Internal Gravity Waves and Tayler-Spruit Magnetic Fields in the Radiative Core of Low-mass Stars
• Constraining Saturn's interior with ring seismology: effects of differential rotation and stable stratification