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We use perturbation theory and the relativistic Cowling approximation to numerically compute characteristic oscillation modes of rapidly rotating relativistic stars which consist of a perfect fluid obeying a polytropic equation of state. We…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Stratos Boutloukos , Hans-Peter Nollert

Among the various oscillation modes of neutron stars, f- and g- modes are the most likely to be ultimately observed in binary neutron star mergers. The f-mode is known to correlate in normal neutron stars with their tidal deformability,…

High Energy Astrophysical Phenomena · Physics 2022-12-14 Tianqi Zhao , James M. Lattimer

The gravitational-wave and accretion driven evolution of neutron stars in low mass X-ray binaries and similar systems is analyzed, while the amplitude of the radiating perturbation (here assumed to be an r-mode) remains small. If most of…

Astrophysics · Physics 2009-11-06 Robert V. Wagoner , Joseph F. Hennawi , Jingsong Liu

We have investigated an influence of the r-mode instability on hypercritically accreting ($\dot{M}\sim 1M_\odot {y}^{-1}$) neutron stars in close binary systems during their common envelope phases based on the scenario proposed by Bethe et…

Astrophysics · Physics 2010-11-19 Shin'ichirou Yoshida , Yoshiharu Eriguchi

Tidal interaction in a coalescing neutron star binary can resonantly excite the g-mode oscillations of the neutron star when the frequency of the tidal driving force equals the intrinsic g-mode frequencies. We study the g-mode oscillations…

Astrophysics · Physics 2015-06-24 Dong Lai

In order to establish whether the unstable r-modes in a rotating neutron star provide a detectable source of gravitational waves, we need to understand the details of the many dissipative processes that tend to counteract the instability.…

Solar and Stellar Astrophysics · Physics 2015-05-18 Brynmor Haskell , Nils Andersson

Isolated neutron stars undergoing non-radial oscillations are expected to emit gravitational waves in the kilohertz frequency range. To date, radio astronomers have located about 1,300 pulsars, and can estimate that there are about 2 times…

Astrophysics · Physics 2010-11-19 G. L. Comer

We analyse the temperature dependence of pairing correlations in the inner crust matter of neutron stars. The study is done in a finite-temperature HFB approach and by using a zero range pairing force adjusted to the pairing properties of…

Nuclear Theory · Physics 2009-11-10 N. Sandulescu

We study how the frequencies and damping times of oscillations of a newly born, hot proto-neutron star depend on the physical quantities which characterize the star quasi-stationary evolution which follows the bounce. Stellar configurations…

Solar and Stellar Astrophysics · Physics 2011-08-12 G. F. Burgio , V. Ferrari , L. Gualtieri , H. J. Schulze

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

We calculate quasi-normal f- and g-modes of a neutron star with density discontinuity, which may appear in a phase transition at extreme high density. We find that discontinuity will reflect largely on the f-mode, and that the g-mode could…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Hajime Sotani , Kazuhiro Tominaga , Kei-ichi Maeda

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

Superfluid hydrodynamics affects the spin-evolution of mature neutron stars, and may be key to explaining timing irregularities such as pulsar glitches. However, most models for this phenomenon exclude the global instability required to…

Solar and Stellar Astrophysics · Physics 2013-03-27 N. Andersson , K. Glampedakis , M. Hogg

We investigate the properties of $r$-mode oscillations of a slowly rotating neutron star with a solid crust, by taking account of the effects of the Coriolis force. For the modal analysis we employ three-component neutron star models that…

Astrophysics · Physics 2009-10-31 Shijun Yoshida , Umin Lee

We investigate the superfluid properties of the inner crust of neutron stars at finite temperature for different pairing functionals. We generalize the formalism adopted in previous article to include the effect of the temperature to…

Nuclear Theory · Physics 2015-06-12 A. Pastore

Techniques are developed here for evaluating the r-modes of rotating neutron stars through second order in the angular velocity of the star. Second-order corrections to the frequencies and eigenfunctions for these modes are evaluated for…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Lee Lindblom , Gregory Mendell , Benjamin J. Owen

The equation of state (EOS) of nuclear dense matter plays a crucial role in many astrophysical phenomena associated with neutron stars (NSs). Fluid oscillations are one of the most fundamental properties therein. NSs support a family of…

General Relativity and Quantum Cosmology · Physics 2023-09-06 Hong-Bo Li , Yong Gao , Lijing Shao , Renxin Xu

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

With (non-barotropic) equations of state valid even when the neutron, proton and electron content of neutron star cores is not in beta equilibrium, we study inertial and composition gravity modes of relativistic rotating neutron stars. We…

General Relativity and Quantum Cosmology · Physics 2009-11-10 L. Villain , S. Bonazzola , P. Haensel

We investigate $g$-mode oscillations in dark matter admixed neutron stars employing a relativistic mean field model to describe hadronic matter and a model for self-interacting fermionic dark matter motivated by the neutron decay anomaly.…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Swarnim Shirke , Debarati Chatterjee , Prashanth Jaikumar