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Despite the recent excitement over the r-mode instability of rotating stars, these modes are not yet well-understood for stellar models appropriate to neutron stars - perfect fluid models in which both the equilibrium and perturbed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Keith H. Lockitch

We complete our previous investigation concerning the structure and the stability of "isothermal" spheres in general relativity. This concerns objects that are described by a linear equation of state $P=q\epsilon$ so that the pressure is…

Astrophysics · Physics 2009-11-13 Pierre-Henri Chavanis

We explore the dynamics of the r-modes in accreting neutron stars in two ways. First, we explore how dissipation in the magneto-viscous boundary layer (MVBL) at the crust-core interface governs the damping of r-mode perturbations in the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Justin B. Kinney , Gregory Mendell

We study the oscillations modes of differential rotating remnants of binary neutron star inspirals by modeling them as incompressible Riemann ellipsoids parametrized by the ratio $f$ of their internal circulation to the rotation frequency.…

General Relativity and Quantum Cosmology · Physics 2021-12-20 Peter B. Rau , Armen Sedrakian

We study the dynamics of the two dimensional Navier Stokes equations linearized around a strictly monotonic shear flow on $\mathbb{T}\times\mathbb{R}$. The main task is to understand the associated Rayleigh and Orr-Sommerfeld equations,…

Analysis of PDEs · Mathematics 2023-05-24 Hao Jia

We have calculated the non-radial oscillation in slowly rotating relativistic stars with the Cowling approximation. The frequencies are compared with those based on the complete linearized equations of general relativity. It is found that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Shijun Yoshida , Yasufumi Kojima

Neutron star asteroseismology offers a unique opportunity to probe nuclear physics through stellar oscillations. Although the pressure inside of a neutron star is typically assumed to be isotropic, pressure anisotropy can arise from various…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Jihao Yu , Victor Guedes , Shu Yan Lau , Siddarth Ajith , Kent Yagi

We present first results of the non-linear evolution of rotating relativistic stars obtained with an axisymmetric relativistic hydrodynamics code in a fixed spacetime. As initial data we use stationary axisymmetric and perturbed…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Stergioulas , J. A. Font , K. D. Kokkotas

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

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 impact of chemical equilibration and the resulting bulk viscosity on non-radial oscillation modes of warm neutron stars at temperatures up to $T\approx 5$ MeV, relevant for protoneutron stars and neutron-star post-merger…

High Energy Astrophysical Phenomena · Physics 2025-11-03 Tianqi Zhao , Peter B. Rau , Alexander Haber , Steven P. Harris , Constantinos Constantinou , Sophia Han

Linear stability of solid body rotating flows with axisymmetric density variations is addressed analytically. Considering inviscid disturbances, a non trivial dispersion relation is obtained and it is shown that the instability is of…

Fluid Dynamics · Physics 2023-08-24 C. Jacques , B. Di Pierro , F. Alizard , M. Buffat , A. Cadiou , L. Le Penven

Nonradial oscillations of relativistic neutron stars with a solid crust are computed in the relativistic Cowling approximation, in which all metric perturbations are ignored. For the modal analysis, we employ three-component relativistic…

Astrophysics · Physics 2009-11-07 Shijun Yoshida , Umin Lee

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

The oscillation modes of stars play an important role in observations, and on the understanding of stellar stability properties. The role of viscosity in the oscillation modes of compact stars has been so far understood very loosely only,…

General Relativity and Quantum Cosmology · Physics 2026-04-16 Sofía Bussières , Jaime Redondo-Yuste , José Javier Ortega Gómez , Vitor Cardoso

Axisymmetric pulsations of rotating neutron stars can be excited in several scenarios, such as core-collapse, crust and core-quakes and binary mergers and could become detectable either in gravitational waves or high-energy radiation. Here,…

Astrophysics · Physics 2009-10-31 Jose A. Font , Harald Dimmelmeier , Anshu Gupta , Nikolaos Stergioulas

We investigate properties of r-modes characterized by regular eigenvalue problem in slowly rotating relativistic polytropes. Our numerical results suggest that discrete r-mode solutions for the regular eigenvalue problem exist only for…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Shijun Yoshida

We general relativistically calculate the frequency of fundamental torsional oscillations of neutron star crusts, where we focus on the crystalline properties obtained from macroscopic nuclear models in a way depending on the equation of…

High Energy Astrophysical Phenomena · Physics 2012-05-22 Hajime Sotani , Ken'ichiro Nakazato , Kei Iida , Kazuhiro Oyamatsu

We derive the hydrodynamical equations of r-mode oscillations in neutron stars in presence of a novel damping mechanism related to particle number changing processes. The change in the number densities of the various species leads to new…

High Energy Physics - Phenomenology · Physics 2013-04-30 Giuseppe Colucci , Massimo Mannarelli , Cristina Manuel

We present a comprehensive study of the statistical features of a three-dimensional time-reversible Navier-Stokes (RNS) system, wherein the standard viscosity $\nu$ is replaced by a fluctuating thermostat that dynamically compensates for…