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We present results on the effect of the stiffness of the equation of state on the dynamical bar-mode instability in rapidly rotating polytropic models of neutron stars in full General Relativity. We determine the change in the threshold for…

General Relativity and Quantum Cosmology · Physics 2015-04-01 Frank Löffler , Roberto De Pietri , Alessandra Feo , Luca Franci , Francesco Maione

We study the low T/W instability associated with the f-mode of differentially rotating stars. Our stellar models are described by a polytropic equation of state and the rotation profile is given by the standard j-constant law. The…

Solar and Stellar Astrophysics · Physics 2015-06-22 Andrea Passamonti , Nils Andersson

We study the secular evolution and gravitational wave signature of a newly-formed, rapidly rotating neutron star. The neutron star may arise from core collapse in a massive star or from the accretion-induced collapse of a white dwarf. After…

Astrophysics · Physics 2009-10-22 Dong Lai , Stu Shapiro

When a relativistic star rotates slowly and rigidly, centrifugal forces flatten it slightly, thereby catalyzing a small admixture of quadrupolar vibration into its radial modes and a damping of the resulting quasi-radial modes. The damping…

General Relativity and Quantum Cosmology · Physics 2025-09-09 James B. Hartle , Kip S. Thorne

We investigate the nature of low T/W dynamical instabilities in differentially rotating stars by means of linear perturbation. Here, T and W represent rotational kinetic energy and the gravitational binding energy of the star. This is the…

Solar and Stellar Astrophysics · Physics 2016-10-25 Motoyuki Saijo , Shin'ichirou Yoshida

Since the last Amaldi meeting in 1997 we have learned that the r-modes of rapidly rotating neutron stars are unstable to gravitational radiation reaction in astrophysically realistic conditions. Newborn neutron stars rotating more rapidly…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Benjamin J. Owen

This thesis investigates in the time domain a particular class of second order perturbations of a perfect fluid non-rotating compact star: those arising from the coupling between first order radial and non-radial perturbations. This problem…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Andrea Passamonti

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

This paper presents a numerical study over a wide parameter space of the likelihood of the dynamical bar-mode instability in differentially rotating magnetized neutron stars. The innovative aspect of this study is the incorporation of…

Solar and Stellar Astrophysics · Physics 2014-11-20 Karen D. Camarda , Peter Anninos , P. Chris Fragile , José A. Font

For the analysis of the r-mode oscillation of hot young neutron stars, it is necessary to consider the effect of it differential rotation, because viscosity is not strong enough for differentially rotating young neutron stars to be lead to…

Astrophysics · Physics 2009-10-31 S. Karino , S. Yoshida , Y. Eriguchi

Existing estimates of the gravitational-wave damping timescale of the dominant quadrupole oscillation mode in the case of rapidly rotating stars are based on using a Newtonian estimate for the energy of the mode, in combination with the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Georgios Lioutas , Nikolaos Stergioulas

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

In this paper we compute general-relativistic polytropic models simulating rigidly rotating, pulsating neutron stars. These relativistic compact objects, with a radius of $\sim 10 \, \mathrm{km}$ and mass between $\sim 1.4$ and $3.2$ solar…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Vassilis Geroyannis , Eleftheria Tzelati

We determine instability domains on the Hertzsprung-Russel diagram for rotating main sequence stars with masses 2-20 $\mathrm M_\odot$. The effects of the Coriolis force are treated in the framework of the traditional approximation.…

Solar and Stellar Astrophysics · Physics 2017-05-31 Wojciech Szewczuk , Jadwiga Daszyńska-Daszkiewicz

We calculate the gravitational wave signal from the collapse of a rotating 300 $M_\odot$ star at the upper end of the pair-instability regime. The large-scale asymmetries that develop during the collapse produce a strong signal in the…

High Energy Astrophysical Phenomena · Physics 2026-04-10 Bailey Sykes , Jade Powell , Bernhard Müller , Alexander Heger

We study gravitational waves from a spinning test particle scattered by a relativistic star using a perturbation method. The present analysis is restricted to axial modes. By calculating the energy spectrum, the waveforms and the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kazuhiro Tominaga , Motoyuki Saijo , Kei-ichi Maeda

We study the r-modes and rotational ``hybrid'' modes of relativistic stars. As in Newtonian gravity, the spectrum of low-frequency rotational modes is highly sensitive to the stellar equation of state. If the star and its perturbations obey…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Keith H. Lockitch , Nils Andersson , John L. Friedman

A linear stability analysis of models for evolved primordial stars with masses between 150 and 250 M$_{\odot}$ is presented. Strange mode instabilities with growth rates in the dynamical range are identified for stellar models with…

Solar and Stellar Astrophysics · Physics 2018-01-16 Abhay Pratap Yadav , Stefan Henrique Kühnrich Biavatti , Wolfgang Glatzel

Luminous blue variables are an intermediate stage in the evolution of high-mass stars characterized by extreme mass loss and substantial variability. The stars show large irregular episodic variations on timescales of years to decades in…

Solar and Stellar Astrophysics · Physics 2025-02-14 Emily M. Levesque , Henny J. G. L. M. Lamers , Alex de Koter

The first results of numerical analysis of classical r-modes of {\it rapidly} rotating compressible stellar models are reported. The full set of linear perturbation equations of rotating stars in Newtonian gravity are numerically solved…

Astrophysics · Physics 2009-10-31 Shin'ichirou Yoshida , Shigeyuki Karino , Shijun Yoshida , Yoshiharu Eriguchi