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We construct constant rest-mass sequences of equilibrium models of differentially rotating neutron stars which resemble binary neutron star post-merger remnants. For a more realistic description of the post-merger remnant, we impose that…

High Energy Astrophysical Phenomena · Physics 2026-03-03 Georgios Lioutas , Panagiotis Iosif , Andreas Bauswein , Nikolaos Stergioulas

We argue that self-excited instabilities are the cause of spiral patterns in simulations of unperturbed stellar discs. In previous papers, we have found that spiral patterns were caused by a few concurrent waves, which we claimed were…

Astrophysics of Galaxies · Physics 2019-08-14 J. A. Sellwood , Ray G. Carlberg

We study how the neutron-star equation of state affects the onset of the dynamical instability in the equations of motion for inspiraling neutron-star binaries near coalescence. A combination of relativistic effects and Newtonian tidal…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Dong Lai , Alan G. Wiseman

Rapidly rotating neutron stars can be unstable to the gravitational-wave-driven CFS mechanism if they have a neutral point in the spectrum of nonaxisymmetric f-modes. We investigate the frequencies of these modes in two sequences of…

Solar and Stellar Astrophysics · Physics 2010-11-16 Burkhard Zink , Oleg Korobkin , Erik Schnetter , Nikolaos Stergioulas

We investigate the dynamical stability of relativistic, differentially rotating, quasi-toroidal models of neutron stars through hydrodynamical simulations in full general relativity. We find that all quasi-toroidal configurations studied in…

High Energy Astrophysical Phenomena · Physics 2019-08-21 Pedro L. Espino , Vasileios Paschalidis , Thomas W. Baumgarte , Stuart L. Shapiro

Late in their evolution, massive stars may undergo periods of violent instability and mass loss, but the mechanism responsible for these episodes has not been identified. We study one potential contributor: the development of local…

Solar and Stellar Astrophysics · Physics 2013-04-09 Andrés Suárez-Madrigal , Mark Krumholz , Enrico Ramirez-Ruiz

In the era of gravitational wave astronomy, radial oscillations hold significant potential for not only uncovering the microphysics behind the internal structure but also investigating the stability of neutron stars (NSs). We start by…

Nuclear Theory · Physics 2026-02-02 Sayantan Ghosh , Sailesh Ranjan Mohanty , Tianqi Zhao , Bharat Kumar

We consider the evolution in full general relativity of a family of linearly unstable isolated spherical neutron stars under the effects of very small, perturbations as induced by the truncation error. Using a simple ideal-fluid equation of…

General Relativity and Quantum Cosmology · Physics 2011-07-18 David Radice , Luciano Rezzolla , Thorsten Kellermann

We continue our investigations of the development and importance of the one-arm spiral instability in long-lived hypermassive neutron stars (HMNSs) formed in dynamical capture binary neutron star mergers. Employing hydrodynamic simulations…

High Energy Astrophysical Phenomena · Physics 2016-12-14 William E. East , Vasileios Paschalidis , Frans Pretorius

In this article we show that the, mainly spacetime, w-modes may become unstable in a rotating ultracompact ($R<3M$) relativistic star. We provide results for the axial modes of a rotating star in the slow rotation approximation, and…

Astrophysics · Physics 2009-11-07 K. D. Kokkotas , J. Ruoff , N. Andersson

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

We study the dynamical evolution of the gravitational-wave driven instability of the f-mode in rapidly rotating relativistic stars. With an approach based on linear perturbation theory we describe the evolution of the mode amplitude and…

Solar and Stellar Astrophysics · Physics 2015-06-11 A. Passamonti , E. Gaertig , K. D. Kokkotas. D. Doneva

Accretion disks around compact objects are expected to enter an unstable phase at high luminosity. One instability may occur when the radiation pressure generated by accretion modifies the disk viscosity, resulting in the cyclic depletion…

We consider the stability properties of the ocean of accreting magnetic neutron stars. It turns out that the ocean is always unstable due to the combined influence of the temperature and chemical composition gradients along the surface and…

Astrophysics · Physics 2009-11-11 V. Urpin

We use time-evolutions of the linear perturbation equations to study the oscillations of rapidly rotating neutrons stars. Our models account for the buoyancy due to composition gradients and we study, for the first time, the nature of the…

Astrophysics · Physics 2009-11-13 A. Passamonti , B. Haskell , N. Andersson , D. I. Jones , I. Hawke

Rapidly spinning neutron stars are known to harbour pulsation modes that may become unstable and grow in amplitude by emitting gravitational radiation. Among the various stellar modes, the f-mode is the one typically considered as a…

Solar and Stellar Astrophysics · Physics 2015-05-28 Erich Gaertig , Kostas Glampedakis , Kostas D. Kokkotas , Burkhard Zink

The processes contributing to the evolution of an initially weak magnetic field in a differentially rotating star are reviewed. These include rotational smoothing (akin to convective expulsion) and a list of about 5 instabilities, among…

Astrophysics · Physics 2007-05-23 H. C. Spruit

I decompose the unstable growing modes of stellar disks to their Fourier components and present the physical mechanism of instabilities in the context of resonances. When the equilibrium distribution function is a non-uniform function of…

Astrophysics · Physics 2009-11-13 Mir Abbas Jalali

A rapidly rotating, axisymmetric star can be dynamically unstable to an m=2 "bar" mode that transforms the star from a disk shape to an elongated bar. The fate of such a bar-shaped star is uncertain. Some previous numerical studies indicate…

General Relativity and Quantum Cosmology · Physics 2010-11-19 David Brown

The dynamical stability of differentially rotating neutron stars, including hypermassive neutron stars, is of paramount importance in understanding the fate of the post-merger remnant of binary neutron stars mergers and the formation of a…

High Energy Astrophysical Phenomena · Physics 2025-07-09 Paweł Szewczyk , Dorota Gondek-Rosińska , Pablo Cerdá-Durán
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