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R-mode oscillations of rotating neutron stars are promising candidates for continuous gravitational wave (GW) observations. The r-mode frequencies for slowly rotating Newtonian stars are well-known and independent of the equation of state…

广义相对论与量子宇宙学 · 物理学 2023-02-14 Suprovo Ghosh , Dhruv Pathak , Debarati Chatterjee

We have developed a new numerical scheme to solve r-mode oscillations of {\it rapidly rotating polytropic stars} in Newtonian gravity. In this scheme, Euler perturbations of the density, three components of the velocity are treated as four…

天体物理学 · 物理学 2009-10-31 Shigeyuki Karino , Shin'ichirou Yoshida , Shijun Yoshida , Yoshiharu Eriguchi

In this paper we present a generic formulation of the linearized dynamical equations governing small adiabatic radial oscillations of relativistic stars. The dynamical equations are derived by taking into consideration those effects of…

广义相对论与量子宇宙学 · 物理学 2022-05-11 Dániel Barta

We describe how the nonlinear development of the R mode instability of neutron stars influences spin up to millisecond periods via accretion. Our arguments are based on nearly-resonant interactions of the R mode with pairs of "daughter…

太阳与恒星天体物理 · 物理学 2013-10-30 Ruxandra Bondarescu , Ira Wasserman

Quasi-toroidal oscillations in slowly rotating stars are examined in the framework of general relativity. The oscillation frequency to first order of the rotation rate is not a single value even for uniform rotation unlike the Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Yasufumi Kojima

We study nonaxisymmetric perturbations of rotating relativistic stars. modeled as perfect-fluid equilibria. Instability to a mode with angular dependence $\exp(im\phi)$ sets in when the frequency of the mode vanishes. The locations of these…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Nikolaos Stergioulas , John L. Friedman

We investigate the oscillations of slowly rotating superfluid stars, taking into account the vortex mediated mutual friction force that is expected to be the main damping mechanism in mature neutron star cores. Working to linear order in…

天体物理学 · 物理学 2009-07-30 N. Andersson , K. Glampedakis , B. Haskell

(Abridged) Numerical simulation of strange quark stars (QSs) is challenging due to the strong density discontinuity at the stellar surface. In this paper, we report successful simulations of rapidly rotating QSs and study their oscillation…

广义相对论与量子宇宙学 · 物理学 2023-09-08 Kenneth Chen , Lap-Ming Lin

The shear and interface modes excited inside the neutron star due to the presence of elasticity depend on the properties of both the crust and core region. To examine how such eigenfrequencies depend on the neutron star properties, we solve…

高能天体物理现象 · 物理学 2024-06-26 Hajime Sotani

(abridged) $R$-modes are oscillations in rotating stars, primarily restored by the Coriolis force. These oscillations are the most susceptible to the Chandrasekhar-Friedman-Schutz (CFS) instability driven by gravitational wave emission,…

高能天体物理现象 · 物理学 2025-08-22 K. Y. Kraav , M. E. Gusakov , E. M. Kantor

We study the $f$-mode frequencies and damping times of nonrotating neutron stars (NS) in general relativity (GR) by solving the linearized perturbation equations, with the aim to establish "universal" relations that depend only weakly on…

广义相对论与量子宇宙学 · 物理学 2015-03-17 Cecilia Chirenti , Gibran H. de Souza , Wolfgang Kastaun

Non-linear interactions among the inertial modes of a rotating fluid can be described by a network of coupled oscillators. We use such a description for an incompressible fluid to study the development of the r-mode instability of rotating…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Jeandrew Brink , Saul A Teukolsky , Ira Wasserman

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…

$r$-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,…

高能天体物理现象 · 物理学 2025-02-20 Wenhao Dong , Andrew Melatos

Linear waves in bounded inviscid fluids do not generally form normal modes with regular eigenfunctions. Examples are provided by inertial waves in a rotating fluid contained in a spherical annulus, and internal gravity waves in a stratified…

天体物理学 · 物理学 2016-08-30 Gordon I. Ogilvie

We study relativistic stars in the context of scalar tensor theories of gravity that try to account for the observed cosmic acceleration and satisfy the local gravity constraints via the chameleon mechanism. More specifically, we consider…

广义相对论与量子宇宙学 · 物理学 2015-03-13 E. Babichev , D. Langlois

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…

广义相对论与量子宇宙学 · 物理学 2009-07-09 Nils Andersson

We investigate the structure of damped two-dimensional perturbations in unstable plane-parallel shear flows with an inflection point. In inviscid flows within the stable wavenumber region $k$, no regular eigenmodes exist -- the frequency…

流体动力学 · 物理学 2026-01-13 Evgeny V. Polyachenko , Ilia G. Shukhman , Michael Karp

In this work we study the r-mode instability windows and the gravitational wave signatures of neutron stars in the slow rotation approximation using the equation of state obtained from the density dependent M3Y effective interaction. We…

核理论 · 物理学 2018-06-20 Somnath Mukhopadhyay , Joydev Lahiri , Debasis Atta , Kouser Imam , D. N. Basu

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…

高能天体物理现象 · 物理学 2015-09-16 Brynmor Haskell