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Related papers: Formulating the r-mode problem for slowly rotating…

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We investigate the relevance of the gravitational-wave driven r-mode instability for strange stars. We find that the unstable r-modes affect strange stars in a way that is quite distinct from the neutron star case. For accreting strange…

Astrophysics · Physics 2010-11-19 N. Andersson , D. I. Jones , K. D. Kokkotas

Differential rotation induced by the r-mode instability can generate very strong toroidal fields in the core of accreting, millisecond spinning neutron stars. We introduce explicitly the magnetic damping term in the evolution equations of…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Carmine Cuofano , Simone Dall'Osso , Alessandro Drago , Luigi Stella

We investigate the oscillation spectrum of rotating Newtonian neutron stars endowed with purely toroidal magnetic fields, using a time evolution code to evolve linear perturbations in the Cowling approximation. The background star is…

Solar and Stellar Astrophysics · Physics 2012-02-10 S. K. Lander , D. I. Jones , A. Passamonti

Nonlinear evolution of the gravitational radiation (GR) driven instability in the r-modes of neutron stars is studied by full numerical 3D hydrodynamical simulations. The growth of the r-mode instability is found to be limited by the…

Astrophysics · Physics 2009-11-07 Lee Lindblom , Joel E. Tohline , Michele Vallisneri

A newly discovered instability in rotating neutron stars, driven by gravitational radiation reaction acting on the stars' $r$-modes, is shown here to set an upper limit on the spin rate of young neutron stars. We calculate the timescales…

Astrophysics · Physics 2009-10-30 Nils Andersson , Kostas Kokkotas , Bernard F. Schutz

We investigate the dynamics of r modes at amplitudes in the nonlinear regime for rapidly but uniformly rotating neutron stars with a polytropic equation of state. For this, we perform three-dimensional relativistic hydrodynamical…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Wolfgang Kastaun

We develop a numerical scheme for obtaining the $r$-mode oscillations of rapidly rotating relativistic stars. In the present scheme, we neglect all metric perturbations and only take account of the dynamics of the fluid in the background…

Astrophysics · Physics 2009-11-10 Shijun Yoshida , Shin'ichirou Yoshida , Yoshiharu Eriguchi

We calculate the spectrum of inertial oscillation modes in a slowly rotating superfluid neutron star, including, for the first time, both the effects of finite temperatures and entrainment between superfluid neutrons and protons. We work in…

High Energy Astrophysical Phenomena · Physics 2018-11-07 Vasiliy A. Dommes , Elena M. Kantor , Mikhail E. Gusakov

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

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

We present an analytic description of the $r$-mode instability in newly-born neutron stars, using the approximation of uniform density. Our computation is consistently accurate to second order in the angular velocity of the star. We obtain…

Astrophysics · Physics 2011-05-23 K. D. Kokkotas , N. Stergioulas

Next-generation gravitational-wave detectors are expected to constrain the properties of extreme density matter via observations of static and dynamical tides in binary neutron star inspirals. The required modelling is straightforward in…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Shanshan Yin , Nils Andersson , Fabian Gittins

$f(R)$ theories of gravity are one of the most popular alternative explanations for dark energy and therefore studying the possible astrophysical implications of these theories is an important task. In the present paper we make a…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Stoytcho S. Yazadjiev , Daniela D. Doneva , Kostas D. Kokkotas

The evolution of the r-mode instability is likely to be accompanied by secular kinematic effects which will produce differential rotation with large scale drifts of fluid elements, mostly in the azimuthal direction. As first discussed by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luciano Rezzolla , Frederick L. Lamb , Dragoljub Markovic , Stuart L. Shapiro

The characteristic physical properties of rotating neutron stars under the r-mode oscillation are evaluated using the finite-range simple effective interaction. Emphasis is given on examining the influence of the stiffness of both the…

Nuclear Theory · Physics 2018-05-09 S. P. Pattnaik , T. R. Routray , X. Viñas , D. N. Basu , M. Centelles , K. Madhuri , B. Behera

The r-mode instability, believed to limit the rotation speed of compact stars, can provide empirical confirmation for the existence of stable deconfined phases of quark matter that are predicted by weak coupling calculations in Quantum…

Nuclear Theory · Physics 2015-06-11 Gautam Rupak , Prashanth Jaikumar

In this work we provide a framework that connects the co-rotating and counter rotating $f$-mode frequencies of rotating neutron stars with their stellar structure. The accurate computation of these modes for realistic equations of state has…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Sebastian H. Völkel , Christian J. Krüger , Kostas D. Kokkotas

The first numerical study of axial (toroidal) pulsation modes of a slowly rotating relativistic star is presented. The calculation includes terms of first order in $\epsilon \equiv \Omega \sqrt{R^3/M}<<1$ ($R$ is the radius, $M$ is the mass…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Nils Andersson

Recently Andersson et. al., and Bildsten have independently suggested that an r-mode instability might be responsible for stalling the neutron-star spin-up in strongly accreting, Low Mass X-ray Binaries (LMXBs). We show that if this does…

Astrophysics · Physics 2009-10-31 Yuri Levin

Almost none of the r-modes ordinarily found in rotating stars exist, if the star and its perturbations obey the same one-parameter equation of state; and rotating relativistic stars with one-parameter equations of state have no pure r-modes…

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