---
OA_place: publisher
OA_type: diamond
_id: '19283'
abstract:
- lang: eng
  text: "Context. The presence of dips in the gravity mode period spacing versus period
    diagram of γ Doradus stars is now well established thanks to recent asteroseismic
    studies. Such Lorentzian-shaped inertial dips arise from the interaction of gravito-inertial
    modes in the radiative envelope of intermediate-mass main sequence stars with
    pure inertial modes in their convective core, and allow us to study stellar internal
    properties. This window onto stellar internal dynamics is extremely valuable in
    the context of the understanding of angular-momentum transport inside stars, as
    it allows us to probe rotation in their core.\r\n\r\nAims. We investigate the
    signature and the detectability of a differential rotation between the convective
    core and the near-core region inside γ Doradus stars from the properties of inertial
    dips.\r\n\r\nMethods. We studied the coupling between gravito-inertial modes in
    the radiative zone and pure inertial modes in the convective core in the sub-inertial
    regime, allowing for a two-zone differential rotation from the two sides of the
    core-to-envelope boundary. We solved the coupling equation numerically and matched
    the result to an analytical derivation of the Lorentzian dip properties. We then
    used typical values of measured near-core rotation and buoyancy travel time to
    infer ranges of parameters for which differential core to near-core rotation would
    be detectable in current Kepler data.\r\n\r\nResults. We show that increasing
    the convective core rotation with respect to the near-core rotation leads to a
    shift of the period of the observed dip to lower periods. In addition, the dip
    gets deeper and thinner as the convective core rotation increases. We demonstrate
    that such a signature is detectable in Kepler data, given appropriate dip-parameter
    ranges and near-core structural properties.\r\n\r\nConclusions. Studying the dip
    properties in asteroseismic data thus allows us to access core to near-core radial
    differential rotation and to better understand the transport of angular momentum
    at convective–radiative interfaces in intermediate-mass main sequence stars."
acknowledgement: 'We thank the referee for very constructive and detailed comments
  that led to an improvement of the quality of our study. L.B. and L.B. gratefully
  acknowledge support from the European Research Council (ERC) under the Horizon Europe
  programme (Calcifer; Starting Grant agreement N°101165631). S. Mathis acknowledges
  support from the PLATO CNES grant at CEA/DAp and from the European Research Council
  through HORIZON ERC SyG Grant 4D-STAR 101071505. While partially funded by the European
  Union, views and opinions expressed are however those of the author only and do
  not necessarily reflect those of the European Union or the European Research Council.
  Neither the European Union nor the granting authority can be held responsible for
  them. L. Barrault thanks the members of the asteroseismology group of the Institute
  of Astronomy (IvS) of KU Leuven, in particular T. Van Reeth, M. Vanrespaille, Z.
  Guo and C. Aerts, for their warm welcome during a work visit in Spring 2024, and
  very insightful input on the present study. The authors thank also the members of
  the Asteroseismology and Stellar Dynamics group of the Institute of Science and
  Technology Austria (ISTA) for very useful discussion: K. M. Smith, L. Einramhof,
  S. Torres and A. Cristea.'
article_number: A225
article_processing_charge: Yes
article_type: original
author:
- first_name: Lucas
  full_name: Barrault, Lucas
  id: 4471a8fd-32c1-11ee-a9a4-fb670d398f64
  last_name: Barrault
- first_name: S.
  full_name: Mathis, S.
  last_name: Mathis
- first_name: Lisa Annabelle
  full_name: Bugnet, Lisa Annabelle
  id: d9edb345-f866-11ec-9b37-d119b5234501
  last_name: Bugnet
  orcid: 0000-0003-0142-4000
citation:
  ama: Barrault L, Mathis S, Bugnet LA. Constraining differential rotation in γ Doradus
    stars from the properties of inertial dips. <i>Astronomy &#38; Astrophysics</i>.
    2025;694. doi:<a href="https://doi.org/10.1051/0004-6361/202451541">10.1051/0004-6361/202451541</a>
  apa: Barrault, L., Mathis, S., &#38; Bugnet, L. A. (2025). Constraining differential
    rotation in γ Doradus stars from the properties of inertial dips. <i>Astronomy
    &#38; Astrophysics</i>. EDP Sciences. <a href="https://doi.org/10.1051/0004-6361/202451541">https://doi.org/10.1051/0004-6361/202451541</a>
  chicago: Barrault, Lucas, S. Mathis, and Lisa Annabelle Bugnet. “Constraining Differential
    Rotation in γ Doradus Stars from the Properties of Inertial Dips.” <i>Astronomy
    &#38; Astrophysics</i>. EDP Sciences, 2025. <a href="https://doi.org/10.1051/0004-6361/202451541">https://doi.org/10.1051/0004-6361/202451541</a>.
  ieee: L. Barrault, S. Mathis, and L. A. Bugnet, “Constraining differential rotation
    in γ Doradus stars from the properties of inertial dips,” <i>Astronomy &#38; Astrophysics</i>,
    vol. 694. EDP Sciences, 2025.
  ista: Barrault L, Mathis S, Bugnet LA. 2025. Constraining differential rotation
    in γ Doradus stars from the properties of inertial dips. Astronomy &#38; Astrophysics.
    694, A225.
  mla: Barrault, Lucas, et al. “Constraining Differential Rotation in γ Doradus Stars
    from the Properties of Inertial Dips.” <i>Astronomy &#38; Astrophysics</i>, vol.
    694, A225, EDP Sciences, 2025, doi:<a href="https://doi.org/10.1051/0004-6361/202451541">10.1051/0004-6361/202451541</a>.
  short: L. Barrault, S. Mathis, L.A. Bugnet, Astronomy &#38; Astrophysics 694 (2025).
corr_author: '1'
date_created: 2025-03-02T23:01:53Z
date_published: 2025-02-01T00:00:00Z
date_updated: 2026-02-16T12:09:14Z
day: '01'
ddc:
- '520'
department:
- _id: LiBu
doi: 10.1051/0004-6361/202451541
external_id:
  isi:
  - '001424452400025'
file:
- access_level: open_access
  checksum: 568a5e5951f20483663df145a780fc3d
  content_type: application/pdf
  creator: dernst
  date_created: 2025-03-04T09:57:03Z
  date_updated: 2025-03-04T09:57:03Z
  file_id: '19288'
  file_name: 2025_AstronomyAstrophysics_Barrault.pdf
  file_size: 7438476
  relation: main_file
  success: 1
file_date_updated: 2025-03-04T09:57:03Z
has_accepted_license: '1'
intvolume: '       694'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 914d8549-16d5-11f0-9cad-bbe6324c93a9
  grant_number: '101165631'
  name: 'Unveiling the mysteries of stellar dynamics: a pioneering journey in magnetoasteroseismology'
publication: Astronomy & Astrophysics
publication_identifier:
  eissn:
  - 1432-0746
  issn:
  - 0004-6361
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: Constraining differential rotation in γ Doradus stars from the properties of
  inertial dips
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 694
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
PlanS_conform: '1'
_id: '20454'
abstract:
- lang: eng
  text: "Context. γ Dor stars are ideal targets for studies of the innermost dynamical
    properties of stars, due to their rich asteroseismic spectrum of gravity modes.
    Integrating internal magnetism to the picture appears as the next milestone of
    detailed asteroseismic studies, for its prime importance on stellar evolution.
    The inertial dip in prograde dipole modes period-spacing pattern of γ Dors stands
    out as a unique window on the convective core structure and dynamics. Recent studies
    have highlighted the dependence of the dip structure on core density stratification,
    the contrast of the near-core Brunt-Väisälä frequency and rotation rate, as well
    as the core-to-near-core differential rotation. In addition, the effect of envelope
    magnetism has been derived on low-frequency magneto-gravito-inertial waves.\r\n\r\nAims.
    We revisited the inertial dip formation including core and envelope magnetism,
    and explored the probing power of this feature on dynamo-generated core fields.\r\n\r\nMethods.
    We considered as a first step a toroidal magnetic field with a bi-layer (core
    and envelope) Alfvén frequency. This configuration allowed us to revisit the coupling
    problem using our knowledge on both core magneto-inertial modes and envelope magneto-gravito-inertial
    modes. Using this configuration, we were able to stay in an analytical framework
    to exhibit the magnetic effects on the inertial dip shape and location. This configuration
    allowed a laboratory to be set up that moves us towards the comprehension of magnetic
    effects on the dip structure.\r\n\r\nResults. We show a shift of the inertial
    dip towards lower spin parameter values and a thinner dip with increasing core
    magnetic field’s strength, quite similar to the signature of differential rotation.
    The magnetic effects become sizeable when the ratio of the magnetic to the Coriolis
    effects is high enough. We explored the potential degeneracy of the magnetic effects
    with differential rotation. We studied the detectability of core magnetism, considering
    both observational constraints on the periods of the modes and potential gravito-inertial
    mode suppression."
acknowledgement: 'We thank the referee for their comments and suggestions which allowed
  us to improve the quality of this manuscript. L. Barrault and L. Bugnet gratefully
  acknowledge support from the European Research Council (ERC) under the Horizon Europe
  programme (Calcifer; Starting Grant agreement N°101165631). S. Mathis acknowledges
  support from the PLATO CNES grant at CEA/DAp. S. Mathis and J.S.G. Mombarg acknowledge
  support from the European Research Council through HORIZON ERC SyG Grant 4D-STAR
  101071505. While partially funded by the European Union, views and opinions expressed
  are however those of the authors only and do not necessarily reflect those of the
  European Union or the European Research Council. Neither the European Union nor
  the granting authority can be held responsible for them. L. Barrault thanks T. Van
  Reeth and C. Aerts for their invaluable teachings. The authors thank also the members
  of the Asteroseismology and Stellar Dynamics group of the Institute of Science and
  Technology Austria (ISTA) for very useful discussion: A. Cristea, L. Einramhof,
  K. M. Smith, S. Torres.'
article_number: A253
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lucas
  full_name: Barrault, Lucas
  id: 4471a8fd-32c1-11ee-a9a4-fb670d398f64
  last_name: Barrault
- first_name: Lisa Annabelle
  full_name: Bugnet, Lisa Annabelle
  id: d9edb345-f866-11ec-9b37-d119b5234501
  last_name: Bugnet
  orcid: 0000-0003-0142-4000
- first_name: S.
  full_name: Mathis, S.
  last_name: Mathis
- first_name: J. S.G.
  full_name: Mombarg, J. S.G.
  last_name: Mombarg
citation:
  ama: 'Barrault L, Bugnet LA, Mathis S, Mombarg JSG. Exploring the probing power
    of γ Dor’s inertial dip for core magnetism: The case of a toroidal field. <i>Astronomy
    &#38; Astrophysics</i>. 2025;701. doi:<a href="https://doi.org/10.1051/0004-6361/202555213">10.1051/0004-6361/202555213</a>'
  apa: 'Barrault, L., Bugnet, L. A., Mathis, S., &#38; Mombarg, J. S. G. (2025). Exploring
    the probing power of γ Dor’s inertial dip for core magnetism: The case of a toroidal
    field. <i>Astronomy &#38; Astrophysics</i>. EDP Sciences. <a href="https://doi.org/10.1051/0004-6361/202555213">https://doi.org/10.1051/0004-6361/202555213</a>'
  chicago: 'Barrault, Lucas, Lisa Annabelle Bugnet, S. Mathis, and J. S.G. Mombarg.
    “Exploring the Probing Power of γ Dor’s Inertial Dip for Core Magnetism: The Case
    of a Toroidal Field.” <i>Astronomy &#38; Astrophysics</i>. EDP Sciences, 2025.
    <a href="https://doi.org/10.1051/0004-6361/202555213">https://doi.org/10.1051/0004-6361/202555213</a>.'
  ieee: 'L. Barrault, L. A. Bugnet, S. Mathis, and J. S. G. Mombarg, “Exploring the
    probing power of γ Dor’s inertial dip for core magnetism: The case of a toroidal
    field,” <i>Astronomy &#38; Astrophysics</i>, vol. 701. EDP Sciences, 2025.'
  ista: 'Barrault L, Bugnet LA, Mathis S, Mombarg JSG. 2025. Exploring the probing
    power of γ Dor’s inertial dip for core magnetism: The case of a toroidal field.
    Astronomy &#38; Astrophysics. 701, A253.'
  mla: 'Barrault, Lucas, et al. “Exploring the Probing Power of γ Dor’s Inertial Dip
    for Core Magnetism: The Case of a Toroidal Field.” <i>Astronomy &#38; Astrophysics</i>,
    vol. 701, A253, EDP Sciences, 2025, doi:<a href="https://doi.org/10.1051/0004-6361/202555213">10.1051/0004-6361/202555213</a>.'
  short: L. Barrault, L.A. Bugnet, S. Mathis, J.S.G. Mombarg, Astronomy &#38; Astrophysics
    701 (2025).
corr_author: '1'
date_created: 2025-10-12T22:01:26Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2026-02-19T09:32:04Z
day: '01'
ddc:
- '520'
department:
- _id: LiBu
- _id: GradSch
doi: 10.1051/0004-6361/202555213
external_id:
  arxiv:
  - '2507.00308'
  isi:
  - '001585834500002'
file:
- access_level: open_access
  checksum: 2c209b33119af4a251bab4a418a21075
  content_type: application/pdf
  creator: dernst
  date_created: 2025-10-13T07:05:55Z
  date_updated: 2025-10-13T07:05:55Z
  file_id: '20459'
  file_name: 2025_AstronomyAstrophysics_BarraultL.pdf
  file_size: 2503149
  relation: main_file
  success: 1
file_date_updated: 2025-10-13T07:05:55Z
has_accepted_license: '1'
intvolume: '       701'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 914d8549-16d5-11f0-9cad-bbe6324c93a9
  grant_number: '101165631'
  name: 'Unveiling the mysteries of stellar dynamics: a pioneering journey in magnetoasteroseismology'
publication: Astronomy & Astrophysics
publication_identifier:
  eissn:
  - 1432-0746
  issn:
  - 0004-6361
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Exploring the probing power of γ Dor''s inertial dip for core magnetism: The
  case of a toroidal field'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 701
year: '2025'
...
