Period spacings of gravity modes in rapidly rotating magnetic stars I. Axisymmetric fossil field with poloidal and toroidal components

Abstract

Context. Stellar magnetic fields are one of the candidates often invoked to explain the missing transport of angular momentum observed in the models of stellar interiors. However, the properties of an internal magnetic field and the consequences of its presence on stellar evolution are largely unknown. Aims. We study the effect of an axisymmetric internal magnetic field on the frequency of gravity modes in rapidly rotating stars to check whether gravity modes can be used to detect and probe such a field. Methods. Rotation is taken into account using the traditional approximation of rotation and the effect of the magnetic field is computed using a perturbative approach. As a proof of concept, we compute frequency shifts due to a mixed (i.e. with both poloidal and toroidal components) fossil magnetic field for a representative model of a known magnetic, rapidly rotating, slowly pulsating B-type star, namely HD 43317. Results. We find that frequency shifts induced by the magnetic field scale with the square of its amplitude. A magnetic field with a near-core strength of order 150 kG (which is consistent with the observed surface field strength of order 1 kG) leads to signatures that are detectable in period spacings for high-radial-order gravity modes. Conclusions. The predicted frequency shifts can be used to constrain internal magnetic fields and offers the potential for a significant step forward in our interpretation of the observed structure of gravity-mode period spacing patterns in rapidly rotating stars.

arXiv comment9 pages, 5 figures, 1 table, accepted in A&A

References in corpus (69)

• Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions
• Presupernova Evolution of Differentially Rotating Massive Stars Including Magnetic Fields
• Magnetic fields of non-degenerate stars
• Asteroseismology of Solar-Type and Red-Giant Stars
• GYRE: An open-source stellar oscillation code based on a new Magnus Multiple Shooting Scheme
• Fast core rotation in red-giant stars revealed by gravity-dominated mixed modes
• The surprising magnetic topology of tauSco: fossil remnant or dynamo output?
• A fossil origin for the magnetic fields of A-stars and white dwarfs
• 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
• Stable magnetic fields in stellar interiors
• 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
• Axisymmetric magnetic fields in stars: relative strengths of poloidal and toroidal components
• Seismic diagnostics for transport of angular momentum in stars 1. Rotational splittings from the PMS to the RGB
• Angular Momentum Transport in Stellar Interiors
• Angular momentum transport within evolved low-mass stars
• On magnetic instabilities and dynamo action in stellar radiation zones
• Probing the properties of convective cores through g modes: high-order g modes in SPB and gamma Doradus stars
• Asteroseismic measurement of surface-to-core rotation in a main sequence A star, KIC 11145123
• The MiMeS Survey of Magnetism in Massive Stars: Introduction and overview
• Hydrodynamical stellar models including rotation, internal gravity waves and atomic diffusion. I. Formalism and tests on Pop I dwarfs
• The interior rotation of a sample of gamma Doradus stars from ensemble modelling of their gravity mode period spacings
• Angular momentum transport by heat-driven g-modes in slowly pulsating B stars
• Tight asteroseismic constraints on core overshooting and diffusive mixing in the slowly rotating pulsating B8.3V star KIC 10526294
• Simulations of core convection in rotating A-type stars: Magnetic dynamo action
• Seismic evidence for a weak radial differential rotation in intermediate-mass core helium burning stars
• Giant star seismology
• Asteroseismic measurement of slow, nearly-uniform surface-to-core rotation in the main sequence F star KIC 9244992
• Nonlinear mode coupling in rotating stars and the r-mode instability in neutron stars
• Sub-Inertial Gravity Modes in the B8V Star KIC 7760680 Reveal Moderate Core Overshooting and Low Vertical Diffusive Mixing
• Core rotation braking on the red giant branch for various mass ranges
• Acoustic oscillations of rapidly rotating polytropic stars. II. Effects of the Coriolis and centrifugal accelerations
• Signatures of internal rotation discovered in the Kepler data of five slowly pulsating B stars
• On non-axisymmetric magnetic equilibria in stars
• A new asteroseismic diagnostic for internal rotation in $\gamma$ Doradus stars
• Transport and mixing in the radiation zones of rotating stars II. Axisymmetric magnetic field
• Theory and evidence of global Rossby waves in upper main-sequence stars: r-mode oscillations in many Kepler stars
• On the sensitivity of gravito-inertial modes to differential rotation in intermediate-mass main-sequence stars
• Acoustic oscillations in rapidly rotating polytropic stars I. Effects of the centrifugal distortion
• Gravito-inertial and pressure modes detected in the B3 IV CoRoT target HD 43317
• Understanding angular momentum transport in red giants: the case of KIC 7341231
• On the Stability of Non Force-Free Magnetic Equilibria in Stars
• γ Doradus stars as test of angular momentum transport models
• Asteroseismic masses, ages, and core properties of $\gamma$ Doradus stars using gravito-inertial dipole modes and spectroscopy
• The Magnetic Furnace: Intense Core Dynamos in B-stars
• The extraordinary complex magnetic field of the helium-strong star HD 37776
• The stability of toroidal fields in stars
• On the Differential Rotation of Massive Main Sequence Stars
• Forward seismic modelling of the pulsating magnetic B-type star HD 43317
• Detecting non-uniform period spacings in the Kepler photometry of gamma Doradus stars: methodology and case studies
• Multisite spectroscopic seismic study of the beta Cep star V2052 Oph: inhibition of mixing by its magnetic field
• The interior angular momentum of core hydrogen burning stars from gravity-mode oscillations
• The stability of poloidal magnetic fields in rotating stars
• Angular momentum transport efficiency in post-main sequence low-mass stars
• Deciphering the oscillation spectrum of $\gamma$ Doradus and SPB stars
• Pulsations of rapidly rotating stars: I. The ACOR numerical code
• Internal rotation of 13 low-mass low-luminosity red giants in the Kepler field
• Effect of a fossil magnetic field on the structure of a young Sun
• Asteroseismology and Oblique Pulsator Model of Beta Cephei
• Weak magnetic fields in early-type stars: failed fossils
• Normal Modes of Rotating Magnetic Stars
• Angular momentum transport by internal gravity waves III - Wave excitation by core convection and the Coriolis effect
• Asymptotic theory of gravity modes in rotating stars. I. Ray dynamics
• Probing the internal magnetic field of slowly pulsating B-stars through g modes
• Discovery of a magnetic field in the CoRoT hybrid B-type pulsator HD 43317
• Angular momentum transport by stochastically excited oscillations in rapidly rotating massive stars
• Magnetic Helicity and the Relaxation of Fossil Fields
• Magnetic characterization of the SPB/$\beta$ Cep hybrid pulsator HD 43317

Cited by in corpus (41)

• Probing the interior physics of stars through asteroseismology
• Modeling of Magneto-Rotational Stellar Evolution I. Method and first applications
• Constraining stellar evolution theory with asteroseismology of $\gamma$ Doradus stars using deep learning
• Magnetic signatures on mixed-mode frequencies. I. An axisymmetric fossil field inside the core of red giants
• The Magnetic Early B-type Stars IV: Breakout or Leakage? H$\alpha$ emission as a diagnostic of plasma transport in centrifugal magnetospheres
• The effects of surface fossil magnetic fields on massive star evolution: II. Implementation of magnetic braking in MESA and implications for the evolution of surface rotation in OB stars
• Asteroseismic inference of the near-core magnetic field strength in the main sequence B star HD 43317
• Period spacings of gravity modes in rapidly rotating magnetic stars II. The case of an oblique dipolar fossil magnetic field
• Detecting axisymmetric magnetic fields using gravity modes in intermediate-mass stars
• Detection of nonlinear resonances among gravity modes of slowly pulsating B stars: results from five iterative prewhitening strategies
• Effect of a strong magnetic field on gravity-mode period spacings in red giant stars
• Detection of period-spacing patterns due to the gravity modes of rotating dwarfs in the TESS southern continuous viewing zone
• Predictions for gravity-mode periods and surface abundances in intermediate-mass dwarfs from shear mixing and radiative levitation
• Topology and obliquity of core magnetic fields in shaping seismic properties of slowly rotating evolved stars
• Asteroseismic g-mode period spacings in strongly magnetic rotating stars
• Rossby numbers and stiffness values inferred from gravity-mode asteroseismology of rotating F- and B-type dwarfs: consequences for mixing, transport, magnetism, and convective penetration
• Gravity waves in strong magnetic fields
• The effect of the centrifugal acceleration on period spacings of gravito-inertial modes in intermediate-mass stars
• Detecting deep axisymmetric toroidal magnetic fields in stars. The traditional approximation of rotation for differentially rotating deep spherical shells with a general azimuthal magnetic field
• Core magnetic field imprint in the non-radial oscillations of red giant stars
• Internal rotation and buoyancy travel time of 60 gamma Doradus stars from uninterrupted TESS light curves spanning 352 days
• The traditional approximation of rotation for rapidly rotating stars and planets. I. The impact of strong deformation
• Tidally perturbed g-mode pulsations in a sample of close eclipsing binaries
• The traditional approximation of rotation for rapidly rotating stars and planets. II. Deformation and differential rotation
• Four bright eclipsing binaries with gamma Doradus pulsating components: CM Lac, MZ Lac, RX Dra and V2077 Cyg
• Stochastic excitation of internal gravity waves in rotating late F-type stars: A 3D simulation approach
• The complex fossil magnetic field of the $\delta$ Scuti star HD\,41641
• Unveiling complex magnetic field configurations in red giant stars
• V456 Cyg: An eclipsing binary with tidally perturbed g-mode pulsations
• The Stability of Prendergast Magnetic Fields
• The Pre-main Sequence: Challenges and Prospects for Asteroseismology
• The near-core rotation of HD 112429: a gamma Doradus star with TESS photometry and legacy spectroscopy
• Mode coupling coefficients between the convective core and radiative envelope of $\gamma$Doradus and slowly pulsating B stars
• Non-linear Three-mode Coupling of Gravity Modes in Rotating Slowly Pulsating B Stars: Stationary Solutions and Modeling Potential
• Oscillations of red giant stars with magnetic damping in the core. I. Dissipation of mode energy in dipole-like magnetic fields
• Constraining differential rotation in gamma Doradus stars from inertial dips properties
• Conversion and Damping of Nonaxisymmetric Internal Gravity Waves in Magnetized Stellar Cores
• On the Geometry of the Near-Core Magnetic Field in Massive Stars
• Exploring the physical properties of the $\gamma$ Dor binary star RX Dra with photometry and asteroseismology
• Probing the internal magnetism of stars using asymptotic magneto-asteroseismology
• Towards a systematic treatment of observational uncertainties in forward asteroseismic modelling of gravity-mode pulsators