Acoustic oscillations in rapidly rotating polytropic stars I. Effects of the centrifugal distortion

Abstract

A new non-perturbative method to compute accurate oscillation modes in rapidly rotating stars is presented. In this paper, the effect of the centrifugal force is fully taken into account while the Coriolis force is neglected. This assumption is valid when the time scale of the oscillation is much shorter than the inverse of the rotation rate and is expected to be suitable for high radial order p-modes of $\delta$ Scuti stars. Axisymmetric p-modes have been computed in uniformly rotating polytropic models of stars. In the frequency and rotation range considered, we found that as rotation increases (i) the asymptotic structure of the non-rotating frequency spectrum is first destroyed then replaced by a new form of organization (ii) the mode amplitude tends to concentrate near the equator (iii) differences with perturbative methods become significant as soon as the rotation rate exceeds about fifteen percent of the Keplerian limit. The implications for the seismology of rapidly rotating stars are then discussed.

accepted for publication in A&A

References in corpus (1)

• Acoustic oscillations of rapidly rotating polytropic stars. II. Effects of the Coriolis and centrifugal accelerations

Cited by in corpus (26)

• Asteroseismology and Interferometry
• Gravity modes in rapidly rotating stars. Limits of perturbative methods
• Regular patterns in the acoustic spectrum of rapidly rotating stars
• Radial and Nonradial Oscillation Modes in Rapidly Rotating Stars
• Period spacings of gravity modes in rapidly rotating magnetic stars I. Axisymmetric fossil field with poloidal and toroidal components
• Pulsations of rapidly rotating stars: II. Realistic modelling for intermediate-mass stars
• On the interpretation of echelle diagrams for solar-like oscillations. Effect of centrifugal distortion
• Regular Oscillation Sub-spectrum of Rapidly Rotating Stars
• Dynamical tidal Love numbers of rapidly rotating planets and stars
• Dynamical tides in Jupiter and other rotationally flattened planets and stars with stable stratification
• Asteroseismic g-mode period spacings in strongly magnetic rotating stars
• beta Cas: the first delta Scuti star with a dynamo magnetic field
• Oscillations of 2D ESTER models. I. The adiabatic case
• The traditional approximation of rotation for rapidly rotating stars and planets. I. The impact of strong deformation
• Convection and Overshoot in models of gamma Doradus and delta Scuti stars
• The traditional approximation of rotation for rapidly rotating stars and planets. II. Deformation and differential rotation
• Study of rotational splittings in $\delta$~Scuti stars using pattern finding techniques
• Saturation of the f-mode instability in neutron stars: II. Applications and results
• Asteroseismology of the $\delta$ Scuti star HD 50844
• Rotational splitting and asteroseismic modelling of the delta Scuti star EE Camelopardalis
• Unstable normal modes of low T/W dynamical instabilities in differentially rotating stars
• Exploring the helium core of the delta Scuti star CoRoT 102749568 with asteroseismology
• Detecting active latitudes of Sun-like stars using asteroseismic a-coefficients
• RUBIS: a simple tool for calculating the centrifugal deformation of stars and planets
• Theory of Stellar Oscillations
• Constraining Saturn's interior with ring seismology: effects of differential rotation and stable stratification