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$r$-mode oscillations in rotating neutron stars are a source of continuous gravitational radiation. We investigate the excitation of $r$-modes by the mechanical impact on the neutron star surface of stochastically accreted clumps of matter,…

High Energy Astrophysical Phenomena · Physics 2025-02-20 Wenhao Dong , Andrew Melatos

We propose a new method to study the quasi-normal modes of rotating relativistic stars. Oscillations are treated as perturbations in the frequency domain of the stationary, axisymmetric background describing a rotating star. The perturbed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Ferrari , L. Gualtieri , S. Marassi

Gravito-inertial waves can be excited at the interface of convective and radiative regions and by the Reynolds stresses in the bulk of the convection zone. The magnitude of their energy flux will therefore vary with the properties of the…

Solar and Stellar Astrophysics · Physics 2019-02-28 Kyle C. Augustson , Stéphane Mathis

CONTEXT. Gamma Doradus stars (hereafter gamma Dor stars) are known to exhibit gravity- and/or gravito-intertial modes that probe the inner stellar region near the convective core boundary. The non-equidistant spacing of the pulsation…

Solar and Stellar Astrophysics · Physics 2016-10-05 T. Van Reeth , A. Tkachenko , C. Aerts

Asteroseismology has opened a window on the internal physics of thousands of stars, by relating oscillation spectra properties to the internal physics of stars. Mode identification, namely the process of associating a measured oscillation…

Solar and Stellar Astrophysics · Physics 2022-09-21 Giovanni Marcello Mirouh

Non radial oscillations of neutron stars are associated with the emission of gravitational waves. The characteristic frequencies of these oscillations can be computed using the theory of stellar perturbations, and they are shown to carry…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Valeria Ferrari

We discuss low-frequency g modes excited by resonant couplings with weakly unstable oscillatory convective modes in the rotating convective core in early-type main-sequence stars. Our non-adiabatic pulsation analyses including the effect of…

Solar and Stellar Astrophysics · Physics 2020-08-12 Umin Lee , Hideyuki Saio

A phase transition occurring in the inner core of a neutron star could be associated to a density discontinuity that would affect the frequency spectrum of the non-radial oscillation modes in two ways. Firstly, it would produce a softening…

Astrophysics · Physics 2009-11-07 G. Miniutti , J. A. Pons , E. Berti , L. Gualtieri , V. Ferrari

In a second-order r-mode theory, S'a & Tom'e found that the r-mode oscillation in neutron stars (NSs) could induce stellar differential rotation, which leads to a saturation state of the oscillation spontaneously. Based on a consideration…

Solar and Stellar Astrophysics · Physics 2009-09-28 Yun-Wei Yu , Xiao-Feng Cao , Xiao-Ping Zheng

We study the oscillations modes of differential rotating remnants of binary neutron star inspirals by modeling them as incompressible Riemann ellipsoids parametrized by the ratio $f$ of their internal circulation to the rotation frequency.…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Peter B. Rau , Armen Sedrakian

We examine pulsational stability of low $m$ $r$ modes in SPB stars by calculating fully nonadiabatic oscillations of uniformly rotating stars, where $m$ is an integer representing the azimuthal wave number around the rotation axis. $R$…

Astrophysics · Physics 2009-11-13 Umin Lee

We study global inertial-modes with the purpose of unraveling the role they play in the tidal dissipation process of Jupiter. For spheres of uniformly rotating, neutrally buoyant fluid, we show that the partial differential equation…

Astrophysics · Physics 2009-11-10 Yanqin Wu

The question is addressed whether stellar differentially rotating radiative zones (like the solar tachocline) excite nonaxisymmetric r-modes which can be observed. To this end the hydrodynamical stability of latitudinal differential…

Solar and Stellar Astrophysics · Physics 2015-05-13 L. L. Kitchatinov , G. Rüdiger

We investigate the nature of so-called low $T/W$ dynamical instability in a differentially rotating star by focusing on the role played by the corotation radius of the unstable oscillation modes. An one dimensional model of linear…

High Energy Astrophysical Phenomena · Physics 2017-01-18 Shin'ichirou Yoshida , Motoyuki Saijo

Most of the information we have about the internal rotation of stars comes from modes that are weakly affected by rotation, for example by using rotational splittings. In contrast, we present here a method, based on the asymptotic theory of…

Solar and Stellar Astrophysics · Physics 2017-11-08 Vincent Prat , Stéphane Mathis , François Lignières , Jérôme Ballot , Pierre-Marie Culpin

An overview of selected topical problems on modelling oscillation properties in solar-like stars is presented. High-quality oscillation data from both space-borne intensity observations and ground-based spectroscopic measurements provide…

Solar and Stellar Astrophysics · Physics 2011-03-28 Gunter Houdek

We investigate the asymptotic properties of inertial modes confined in a spherical shell when viscosity tends to zero. We first consider the mapping made by the characteristics of the hyperbolic equation (Poincar\'e's equation) satisfied by…

Fluid Dynamics · Physics 2019-06-19 M. Rieutord , B. Georgeot , L. Valdettaro

After the recent detection of solar equatorial Rossby waves, a renewed interest has been brought to the study of gravito-inertial waves propagating in the convective envelope of solar-type stars. In particular, the ability that some of…

We discuss properties and examples of r-mode (large scale Rossby wave) oscillations in rotating stars. Motions are nearly toroidal but affected weakly by buoyancy. R modes seem to be excited mechanically in most cases, and ubiquitous in…

Solar and Stellar Astrophysics · Physics 2022-04-06 Hideyuki Saio

The post-bounce oscillations of newly-born relativistic stars are expected to lead to gravitational-wave emission through the excitation of nonradial oscillation modes. At the same time, the star is oscillating in its radial modes, with a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrea Passamonti , Nikolaos Stergioulas , Alessandro Nagar