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During the last seconds of a binary neutron-star merger, the tidal force can excite stellar oscillation modes to large amplitudes. From the perspective of premerger electromagnetic emissions and next-generation gravitational-wave detectors,…

High Energy Astrophysical Phenomena · Physics 2026-01-14 Alexis Reboul-Salze , Aurélie Astoul , Hao-Jui Kuan , Arthur G. Suvorov

We develop a numerical algorithm for the solution of the Sturm-Liouville differential equation governing the stationary radial oscillations of nonrotating compact stars. Our method is based on the Numerov's method that turns the…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Francesco Di Clemente , Massimo Mannarelli , Francesco Tonelli

The first part of this paper aims at illustrating the intense scientific activity in the field of stellar rotation although, for sake of shortness, we cannot be exhaustive nor give any details. The second part is devoted to the rotation as…

Astrophysics · Physics 2007-05-23 M. J. Goupil , R. Samadi , J. Lochard , W. A. Dziembowski , A. Pamyatnykh

We use a simple physical model to study the nonlinear behaviour of the r-mode instability. We assume that r-modes (Rossby waves) are excited in a thin spherical shell of rotating incompressible fluid. For this case, exact Rossby wave…

Astrophysics · Physics 2016-08-30 Yuri Levin , Greg Ushomirsky

Understanding differential rotation of Sun-like stars is of great importance for insight into the angular momentum transport in these stars. One means of gaining such information is that of asteroseismology. By a forward modeling approach…

Solar and Stellar Astrophysics · Physics 2016-02-22 Mikkel N. Lund , Mark S. Miesch , Jørgen Christensen-Dalsgaard

It has been known for several decades that transport of chemical elements is induced by the process of microscopic atomic diffusion. Yet, the effect of atomic diffusion, including radiative levitation, has hardly been studied in the context…

Solar and Stellar Astrophysics · Physics 2020-06-03 Joey S. G. Mombarg , Aaron Dotter , Timothy Van Reeth , Andrew Tkachenko , Sarah Gebruers , Conny Aerts

It has been recently argued through numerical work that rotating stars with a high degree of differential rotation are dynamically unstable against bar-mode deformation, even for values of the ratio of rotational kinetic energy to…

Astrophysics · Physics 2009-06-23 Pablo Cerdá-Durán , Vicent Quilis , José A. Font

Several classes of stars (most notably O and B main-sequence stars, as well as accreting white dwarfs and neutron stars) rotate quite rapidly, at spin frequencies greater than the typical g-mode frequencies. We discuss how rapid rotation…

Astrophysics · Physics 2009-10-30 Greg Ushomirsky , Lars Bildsten

A highly accurate, multi-domain spectral code is used in order to construct sequences of general relativistic, differentially rotating neutron stars in axisymmetry and stationarity. For bodies with a spheroidal topology and a homogeneous or…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Marcus Ansorg , Dorota Gondek-Rosińska , Loïc Villain

We consider thermal effects in the propagation of gravitational waves on a cosmological background. In particular, we consider scalar field cosmologies and study gravitational modes near cosmological singularities. We point out that the…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Salvatore Capozziello , Shin'ichi Nojiri , Sergei D. Odintsov

We revisit the problem of inertial r-modes in stratified stars, drawing on a more precise description of the composition stratification in a mature neutron star. The results highlight issues with the traditional approach to the problem,…

General Relativity and Quantum Cosmology · Physics 2023-05-23 Nils Andersson , Fabian Gittins

We have carried out an extensive set of two-dimensional, axisymmetric, purely-hydrodynamic calculations of rotational stellar core collapse with a realistic, finite-temperature nuclear equation of state and realistic massive star progenitor…

Astrophysics · Physics 2009-11-10 Christian D. Ott , Adam Burrows , Eli Livne , Rolf Walder

Rossby waves (r-modes) in rapidly rotating neutron stars are unstable because of the emission of gravitational radiation. We study saturation of this instability by nonlinear transfer of energy to stellar "inertial" oscillation modes. We…

This paper investigates the effects of nonvanishing spatial curvature on the propagation of primordial gravitational waves produced during inflation. In particular, we consider tensor perturbations over a homogeneous and isotropic…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-29 Rocco D'Agostino , Matteo Califano , Nicola Menadeo , Daniele Vernieri

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 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

Quasi-toroidal oscillations in slowly rotating stars are examined in the framework of general relativity. The oscillation frequency to first order of the rotation rate is not a single value even for uniform rotation unlike the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Yasufumi Kojima

A fourth-order and a second-order nonlinear diffusion models in spectral space are proposed to describe gravitational wave turbulence in the approximation of strongly local interactions. We show analytically that the model equations satisfy…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Sébastien Galtier , Sergey V. Nazarenko , Éric Buchlin , Simon Thalabard

Magnetic fields have been measured recently in the core of red giant stars thanks to their effects on stellar oscillation frequencies. The search for magnetic signatures in pulsating stars, such as $\gamma$ Doradus or Slowly Pulsation B…

Solar and Stellar Astrophysics · Physics 2023-11-23 François Lignières , Jérôme Ballot , Sébastien Deheuvels , Marion Galoy

Context. OB stars are important building blocks of the Universe, but we have only a limited sample of them well understood enough from an asteroseismological point of view to provide feedback on the current evolutionary models. Our study…