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We study the dynamical stability against bar-mode deformation of rapidly and differentially rotating stars in the first post-Newtonian approximation of general relativity. We vary the compaction of the star $M/R$ (where $M$ is the…

天体物理学 · 物理学 2008-11-26 Motoyuki Saijo , Masaru Shibata , Thomas W. Baumgarte , Stuart L. Shapiro

We study by computational means the dynamical stability against bar-mode deformation of rapidly and differentially rotating stars in a post-Newtonian approximation of general relativity. We vary the compaction of the star $M/R$ (where $M$…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Motoyuki Saijo , Masaru Shibata , Thomas W. Baumgarte , Stuart L. Shapiro

We construct analytic models of incompressible, rigidly rotating stars in PN gravity and study their stability against nonaxisymmetric Jacobi-like bar modes. PN configurations are modeled by homogeneous triaxial ellipsoids and the metric is…

广义相对论与量子宇宙学 · 物理学 2009-10-30 S. L. Shapiro , S. Zane

We study the viscosity driven (Jacobi-like) bar mode instability of rapidly rotating strange stars in general relativity. A triaxial, "bar shaped" compact star could be an efficient source of continuous wave gravitational radiation in the…

天体物理学 · 物理学 2009-11-10 D. Gondek-Rosinska , E. Gourgoulhon , P. Haensel

We study the dynamical stability against bar-mode deformation of rapidly spinning neutron stars with differential rotation. We perform fully relativistic 3D simulations of compact stars with $M/R \geq 0.1$, where $M$ is the total…

天体物理学 · 物理学 2009-10-31 Masaru Shibata , Thomas W. Baumgarte , Stuart L. Shapiro

We determine the onset point of secular instability for the nonaxisymmetric bar mode in rigidly rotating equilibrium configurations in the Post-Newtonian approximation, in order to apply it to neutron stars. The treatment is based on a…

天体物理学 · 物理学 2009-11-07 Tristano Di Girolamo , Mario Vietri

We investigate the effects of general relativity upon the non-axisymmetric ``bar'' mode secular instability of rapidly rotating stars, i.e. the relativistic and compressible analog of the transition from Maclaurin spheroids to Jacobi…

广义相对论与量子宇宙学 · 物理学 2009-10-28 S. Bonazzola , J. Frieben , E. Gourgoulhon

In Papers I and II, we have used a free-energy minimization approach that stems from the Landau-Ginzburg theory of phase transitions to describe in simple and clear physical terms the secular and dynamical instabilities as well as the…

天体物理学 · 物理学 2009-10-28 D. M. Christodoulou , D. Kazanas , I. Shlosman , J. E. Tohline

Uniformly rotating, homogeneous, incompressible Maclaurin spheroids that spin sufficiently rapidly are secularly unstable to nonaxisymmetric, bar-mode perturbations when viscosity is present. The intuitive explanation is that energy…

天体物理学 · 物理学 2009-11-10 Stuart L. Shapiro

We present accurate simulations of the dynamical bar-mode instability in full General Relativity focussing on two aspects which have not been investigated in detail in the past. Namely, on the persistence of the bar deformation once the…

天体物理学 · 物理学 2008-11-26 Luca Baiotti , Roberto De Pietri , Gian Mario Manca , Luciano Rezzolla

The evolution of a nonaxisymmetric bar-mode perturbation of rapidly rotating stars due to a secular instability induced by gravitational wave emission is studied in post-Newtonian simulations taking into account gravitational radiation…

天体物理学 · 物理学 2010-11-19 Masaru Shibata , Sigeyuki Karino

The circular restricted three body problem, which considers the dynamics of an infinitesimal particle in the presence of the gravitational interaction with two massive bodies moving on circular orbits about their common center of mass, is a…

天体物理仪器与方法 · 物理学 2021-04-07 Cristina Blaga , Paul A. Blaga , Tiberiu Harko

We have modelled the nonlinear development of the secular bar-mode instability that is driven by gravitational radiation-reaction (GRR) forces in rotating neutron stars. In the absence of any competing viscous effects, an initially…

天体物理学 · 物理学 2009-11-10 Shangli Ou , Joel E. Tohline , Lee Lindblom

An analytical scheme and a numerical method in order to study the effects of general relativity on the viscosity driven secular bar mode instability of rapidly rotating stars are presented. The approach consists in perturbing an…

广义相对论与量子宇宙学 · 物理学 2011-05-23 S. Bonazzola , J. Frieben , E. Gourgoulhon

We present results about the effect of the use of a stiffer equation of state, namely the ideal-fluid $\Gamma=2.75$ ones, on the dynamical bar-mode instability in rapidly rotating polytropic models of neutron stars in full General…

广义相对论与量子宇宙学 · 物理学 2014-07-16 Roberto De Pietri , Alessandra Feo , Luca Franci , Frank Löffler

As an extension of our previous work, we investigate the dynamical instability against nonaxisymmetric bar-mode deformations of differentially rotating stars in Newtonian gravity varying the equations of state and velocity profiles. We…

天体物理学 · 物理学 2009-11-07 Masaru Shibata , Shigeyuki Karino , Yoshiharu Eriguchi

We study the dynamical interactions of mass systems in equilibrium under their own gravity that mutually exert and experience gravitational forces. The method we employ is to model the dynamical evolution of two isolated bars, hosted within…

星系天体物理 · 物理学 2017-07-12 F. Garzon , M. Lopez-Corredoira

Triaxial neutron stars can be sources of continuous gravitational radiation detectable by ground-based interferometers. The amplitude of the emitted gravitational wave can be greatly affected by the state of the hydrodynamical fluid flow…

广义相对论与量子宇宙学 · 物理学 2024-04-24 Yufeng Luo , Antonios Tsokaros , Roland Haas , Koji Uryu

The secular instability and nonlinear evolution of the m=2 f-mode (bar-mode) driven by gravitational radiation reaction in a rapidly rotating, newly formed neutron star are reviewed. There are two types of rotating bars which generate quite…

天体物理学 · 物理学 2009-11-06 Dong Lai

We present results on the effect of the stiffness of the equation of state on the dynamical bar-mode instability in rapidly rotating polytropic models of neutron stars in full General Relativity. We determine the change in the threshold for…

广义相对论与量子宇宙学 · 物理学 2015-04-01 Frank Löffler , Roberto De Pietri , Alessandra Feo , Luca Franci , Francesco Maione
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