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$r$-mode oscillations in rotating neutron stars are a source of continuous gravitational radiation. We investigate the excitation of $r$-modes by the mechanical impact on the neutron star surface of stochastically accreted clumps of matter,…

High Energy Astrophysical Phenomena · Physics 2025-02-20 Wenhao Dong , Andrew Melatos

Quasi-normal oscillation modes of neutron stars provide a means to probe their interior composition using gravitational wave astronomy. We compute the frequencies and damping times of composition-dependent core g-modes of neutron stars…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Tianqi Zhao , Constantinos Constantinou , Prashanth Jaikumar , Madappa Prakash

We investigate the oscillations of neutron stars using a purely Newtonian approach and three other pseudo-Newtonian formulations. Our work is motivated by the fact that pseudo-Newtonian formulations are commonly used in core-collapse…

High Energy Astrophysical Phenomena · Physics 2023-09-08 Yat-To Tang , Lap-Ming Lin

We study non-radial oscillations of neutron stars with superfluid baryons, in a general relativistic framework, including finite temperature effects. Using a perturbative approach, we derive the equations describing stellar oscillations,…

General Relativity and Quantum Cosmology · Physics 2014-07-09 L. Gualtieri , E. M. Kantor , M. E. Gusakov , A. I. Chugunov

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

In this review we summarize the current understanding of the gravitational-wave driven instability associated with the so-called r-modes in rotating neutron stars. We discuss the nature of the r-modes, the detailed mechanics of the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 N. Andersson , K. D. Kokkotas

We constrain the fundamental-mode ($f$-mode) oscillation frequencies of nonrotating neutron stars using a phenomenological Gaussian process model for the unknown dense-matter equation of state conditioned on a suite of gravitational-wave,…

High Energy Astrophysical Phenomena · Physics 2026-01-01 Sailesh Ranjan Mohanty , Utkarsh Mali , H. C. Das , Bharat Kumar , Philippe Landry

We develop a general formalism to treat, in general relativity, the nonradial oscillations of a superfluid neutron star about static (non-rotating) configurations. The matter content of these stars can, as a first approximation, be…

General Relativity and Quantum Cosmology · Physics 2009-11-07 N. Andersson , G. L. Comer , D. Langlois

Gravitational waves from neutron star binary inspirals contain information on strongly-interacting matter in unexplored, extreme regimes. Extracting this requires robust theoretical models of the signatures of matter in the…

General Relativity and Quantum Cosmology · Physics 2021-08-18 Jan Steinhoff , Tanja Hinderer , Tim Dietrich , Francois Foucart

We present a new hydro code based on spectral methods using spherical coordinates. The first version of this code aims at studying time evolution of inertial modes in slowly rotating neutron stars. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Villain , S. Bonazzola

Tidal deformabilities are one of the observable quantities characterizing neutron stars, which are strongly associated with the stellar compactness, the ratio of the stellar mass to the radius. In addition to the tidal deformability, the…

High Energy Astrophysical Phenomena · Physics 2026-02-24 Hajime Sotani

We consider the dynamical tidal response of a neutron star in an inspiralling binary, focussing on the impact of the star's elastic crust. Within the context of Newtonian gravity, we add the elastic aspects to the theoretical formulation of…

High Energy Astrophysical Phenomena · Physics 2021-04-19 Andrea Passamonti , Nils Andersson , Pantelis Pnigouras

We analyze damping of oscillations of general relativistic superfluid neutron stars. To this aim we extend the method of decoupling of superfluid and normal oscillation modes first suggested in [Gusakov & Kantor PRD 83, 081304(R) (2011)].…

Solar and Stellar Astrophysics · Physics 2013-05-21 M. E. Gusakov , E. M. Kantor , A. I. Chugunov , L. Gualtieri

In a second-order r-mode theory, S'a & Tom'e found that the r-mode oscillation in neutron stars (NSs) could induce stellar differential rotation, which leads to a saturation state of the oscillation spontaneously. Based on a consideration…

Solar and Stellar Astrophysics · Physics 2009-09-28 Yun-Wei Yu , Xiao-Feng Cao , Xiao-Ping Zheng

The frequencies of r-mode oscillations of rotating neutron stars can be useful for guiding and interpreting gravitational wave and electromagnetic observations. The frequencies of slowly rotating, barotropic, and non-magnetic Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Ashikuzzaman Idrisy , Benjamin J. Owen , David I. Jones

The impact of the combination of rotation and magnetic fields on oscillations of stellar fluids is still not well known theoretically. It mixes Alfv\'en and inertial waves. Neutron stars are a place where both effects may be at work. We…

High Energy Astrophysical Phenomena · Physics 2015-05-30 S. Abbassi , M. Rieutord , V. Rezania

The spectrum of radial oscillations of neutron stars is systematically studied within two frameworks of viscous relativistic hydrodynamics: the relativistic Navier-Stokes and Israel-Stewart theories. A correspondence is established between…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Raissa F. P. Mendes , Amanda Guerrieri , João V. M. Muniz , Gabriel S. Rocha , Gabriel S. Denicol

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

The oscillation spectrum of a neutron star is notably rich and intrinsically dependent on the equation of state of nuclear matter. With recent advancements in gravitational-wave and electromagnetic astronomy, we are nearing the capability…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Fabian Gittins , Nils Andersson

One of the most common assumptions in the study of neutron star models and their oscillations is that the pressure is isotopic, however there are arguments that this may not be correct. Thus in the present paper we make a first step towards…

General Relativity and Quantum Cosmology · Physics 2012-06-25 Daniela D. Doneva , Stoytcho S. Yazadjiev