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The evolution of a neutron-star r-mode driven unstable by gravitational radiation (GR) is studied here using numerical solutions of the full non-linear fluid equations. The amplitude of the mode grows to order unity before strong shocks…

Astrophysics · Physics 2009-10-31 Lee Lindblom , Joel E. Tohline , Michele Vallisneri

When the chemical re-equilibration timescale is sufficiently long, the normal and quasi-normal mode frequencies of neutron stars should be calculated in the idealized limit that the internal composition of each fluid element is fixed over…

Nuclear Theory · Physics 2025-02-27 Gabriele Montefusco , Marco Antonelli , Francesca Gulminelli

Highly magnetized neutron stars are promising candidates to explain some of the most peculiar astronomical phenomena, for instance, fast radio bursts, gamma-ray bursts, and superluminous supernovae. Pulsations of these highly magnetized…

High Energy Astrophysical Phenomena · Physics 2023-03-13 Man Yin Leung , Anson Ka Long Yip , Patrick Chi-Kit Cheong , Tjonnie Guang Feng Li

The basic formulation describing quadratic mode coupling in rotating Newtonian stars is presented, focusing on polar modes. Due to the Chandrasekhar-Friedman-Schutz mechanism, the f-mode (fundamental oscillation) is driven unstable by the…

High Energy Astrophysical Phenomena · Physics 2015-12-29 Pantelis Pnigouras , Kostas D. Kokkotas

Gravitational radiation (GR) drives an instability in certain modes of rotating stars. This instability is strong enough in the case of the r-modes to cause their amplitudes to grow on a timescale of tens of seconds in rapidly rotating…

Astrophysics · Physics 2007-05-23 Lee Lindblom

We calculate axisymmetric toroidal modes of magnetized neutron stars with a solid crust in the general relativistic Cowling approximation. We assume that the interior of the star is threaded by a poloidal magnetic field, which is continuous…

Solar and Stellar Astrophysics · Physics 2015-06-19 Hidetaka Asai , Umin Lee

We study the axial (or odd-parity) perturbations of neutron stars in a one-parameter subclass of Degenerate Higher-Order Scalar-tensor (DHOST) theories. After recalling the equilibrium neutron star configurations obtained in a previous work…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Hamza Boumaza , David Langlois

As the densities in the interior of neutron stars exceed those of terrestrial nuclear experiments, they provide a scope for studying the nature of dense matter under extreme conditions. The composition of the inner core of neutron stars is…

High Energy Astrophysical Phenomena · Physics 2021-04-07 Bikram Keshari Pradhan , Debarati Chatterjee

Using an energy variational method, we calculate quasi-equilibrium configurations of binary neutron stars modeled as compressible triaxial ellipsoids obeying a polytropic equation of state. Our energy functional includes terms both for the…

Astrophysics · Physics 2009-10-30 James C. Lombardi , Frederic A. Rasio , Stuart L. Shapiro

We revisit the problem of radial pulsations of neutron stars by computing four general-relativistic polytropic models, in which "density" and "adiabatic index" are involved with their discrete meanings: (i) "rest-mass density" or (ii)…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Vassilis Geroyannis , Georgios Kleftogiannis

We present results concerning adiabatic inertial-mode oscillations of non-stratified superfluid neutron stars in Newtonian gravity, using the anelastic and slow-rotation approximations. We consider a simple two-fluid model of a superfluid…

Astrophysics · Physics 2009-11-10 R. Prix , G. L. Comer , N. Andersson

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

In this article I will review the theory behind the gravitational wave driven r-mode instability in rapidly rotating neutron stars and discuss which constraints can be derived from observations of spins and temperatures in Low Mass X-ray…

High Energy Astrophysical Phenomena · Physics 2015-09-16 Brynmor Haskell

As an extension of our previous work, we investigate the dynamical instability against nonaxisymmetric bar-mode deformations of differentially rotating stars in Newtonian gravity varying the equations of state and velocity profiles. We…

Astrophysics · Physics 2009-11-07 Masaru Shibata , Shigeyuki Karino , Yoshiharu Eriguchi

In this work, we have investigated anisotropic neutron stars in the framework of Rastall-Rainbow gravity. All our calculations were computed using the IU-FSU realistic equation of state (EoS), in which was considered two cases: standard…

High Energy Astrophysical Phenomena · Physics 2019-11-11 Clésio E. Mota , Luis C. N. Santos , Franciele M. da Silva , Cesar V. Flores , Tiago J. N. da Silva , Débora P. Menezes

Anisotropic phases potentially play a role in the internal composition of neutron stars, the main laboratory for the phase structure of QCD at high baryon densities. We review the study of such a phase, the chiral density wave, within a…

Nuclear Theory · Physics 2025-11-07 Orestis Papadopoulos , Andreas Schmitt

We study small-amplitude, nonlinear pulsations of uniformly and differentially rotating neutron stars employing a two-dimensional evolution code for general-relativistic hydrodynamics. Using Fourier transforms at several points inside the…

Astrophysics · Physics 2009-11-10 Nikolaos Stergioulas , Theocharis A. Apostolatos , Jose A. Font

We have modelled the nonlinear development of the secular bar-mode instability that is driven by gravitational radiation-reaction (GRR) forces in rotating neutron stars. In the absence of any competing viscous effects, an initially…

Astrophysics · Physics 2009-11-10 Shangli Ou , Joel E. Tohline , Lee Lindblom

We investigate the axial w quasi-normal modes of neutron stars for 18 realistic equations of state in order to study the influence of hyperons and quarks on the modes. The study has been developed with a new method based on Exterior Complex…

General Relativity and Quantum Cosmology · Physics 2017-09-28 J. L. Blázquez-Salcedo , L. M. González-Romero , F. Navarro-Lérida

In the present work, we explore the Rossby mode instabilities in neutron stars as sources of gravitational waves. The intensity and time evolution of the emitted gravitational waves in terms of the amplitude of the strain tensor are…

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