Testing the cores of first ascent red-giant stars using the period spacing of g modes

Abstract

In the context of the determination of stellar properties using asteroseismology, we study the influence of rotation and convective-core overshooting on the properties of red-giant stars. We used models in order to investigate the effects of these mechanisms on the asymptotic period spacing of gravity modes ($\Delta {\Pi }_1$) of red-giant stars that ignite He burning in degenerate conditions (M$\lesssim$2.0 M${}_{\odot }$). We also compare the predictions of these models with Kepler observations. For a given $\Delta \nu$, $\Delta {\Pi }_1$ depends not only on the stellar mass, but also on mixing processes that can affect the structure of the core. We find that in the case of more evolved red-giant-branch (RGB) stars and regardless of the transport processes occurring in their interiors, the observed $\Delta {\Pi }_1$ can provide information as to their stellar luminosity, within ~10-20%. In general, the trends of $\Delta {\Pi }_1$ with respect to mass and metallicity that are observed in Kepler red-giant stars are well reproduced by the models.

5pages, 6 figures

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• The APOKASC Catalog: An Asteroseismic and Spectroscopic Joint Survey of Targets in the Kepler Fields
• Mixed modes in red giants: a window on stellar evolution
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• Kepler-432: a red giant interacting with one of its two long period giant planets
• Theoretical power spectra of mixed modes in low mass red giant stars
• The Physical Parameters of the Retired A Star HD185351

Cited by in corpus (19)

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• Period spacings in red giants IV: Toward a complete description of the mixed-mode pattern
• Dipole modes with depressed amplitudes in red giants are mixed modes
• Modelling Kepler Red Giants in Eclipsing Binaries:Calibrating the Mixing Length Parameter with Asteroseismology
• Population synthesis to constrain Galactic and Stellar Physics- I- Determining age and mass of thin-disc red-giant stars
• Asteroseismology of red giants: from analysing light curves to estimating ages
• Seismic signature of electron degeneracy in the core of red giants: hints for mass transfer between close red-giant companions
• The masses of retired A stars with asteroseismology: Kepler and K2 observations of exoplanet hosts
• Surface effects on the red giant branch
• Weighing in on the masses of retired A stars with asteroseismology: K2 observations of the exoplanet-host star HD 212771
• Seismic performance
• Gravity mode offset and properties of the evanescent zone in red-giant stars
• Variations of the mixing character of dipolar mixed modes in red giant stars
• Core magnetic field imprint in the non-radial oscillations of red giant stars
• Evolution of the gravity offset of mixed modes in RGB stars
• Revisiting the Red-giant Branch Hosts KOI-3886 and $\iota$ Draconis. Detailed Asteroseismic Modeling and Consolidated Stellar Parameters
• Red giants evolutionary status determination: the complete Kepler catalog
• Asteroseismology of evolved stars with EGGMiMoSA I. Theoretical mixed-mode patterns from the subgiant to the RGB phase