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We present a new analytic study of the equilibrium and stability properties of close binary systems containing polytropic components. Our method is based on the use of ellipsoidal trial functions in an energy variational principle. We…

天体物理学 · 物理学 2009-10-22 D. Lai , F. A. Rasio , S. L. Shapiro

A rotating star may be modeled as a continuous system of particles attracted to each other by gravity and with a given total mass and prescribed angular velocity. Mathematically this leads to the Euler-Poisson system. We prove an existence…

偏微分方程分析 · 数学 2018-04-17 Yilun Wu , Walter Strauss

We investigate the equilibrium and stability of supermassive stars of mass $M \agt 10^5M_{\odot}$ in binary systems. We find that corotating binaries are secularly unstable for close, circular orbits with $r \alt 4R(M/10^6M_{\odot})^{1/6}$…

天体物理学 · 物理学 2009-11-06 Masaru Shibata , Stuart L. Shapiro , Koji Uryu

Although the main features of the evolution of binary neutron star systems are now well established, many details are still subject to debate, especially regarding the post-merger phase. In particular, the lifetime of the hyper-massive…

高能天体物理现象 · 物理学 2020-06-09 Matteo Lucca , Laura Sagunski

This paper gives a condensed review of the history of solutions to the Euler-Poisson equations modeling equilibrium states of rotating stars and galaxies, leading to a recent result of Walter Strauss and the author. This result constructs a…

偏微分方程分析 · 数学 2023-06-21 Yilun Wu

We construct equilibrium configurations of uniformly rotating neutron stars for selected relativistic mean-field nuclear matter equations of state (EOS). We compute in particular the gravitational mass ($M$), equatorial ($R_{\rm eq}$) and…

太阳与恒星天体物理 · 物理学 2015-08-06 Federico Cipolletta , Christian Cherubini , Simonetta Filippi , Jorge A. Rueda , Remo Ruffini

Double neutron stars (DNSs), binary systems consisting of a radio pulsar and a generally undetected second neutron star (NS), have proven to be excellent laboratories for testing the theory of general relativity. The seven systems…

天体物理学 · 物理学 2009-11-13 J D M Dewi , Ph Podsiadlowski , O R Pols

We review the current status of studies of the coalescence of binary neutron star systems. We begin with a discussion of the formation channels of merging binaries and we discuss the most recent theoretical predictions for merger rates.…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Joshua A. Faber , Frederic A. Rasio

We report on general relativistic calculations of quasiequilibrium configurations of binary neutron stars in circular orbits with zero vorticity. These configurations are expected to represent realistic situations as opposed to corotating…

广义相对论与量子宇宙学 · 物理学 2009-10-31 S. Bonazzola , E. Gourgoulhon , J. -A. Marck

In this paper, we have reviewed the present status of the theory of equilibrium configurations of compact binary star systems in Newtonian gravity. Evolutionary processes of compact binary star systems due to gravitational wave emission can…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yoshiharu Eriguchi , Koji Uryu

Rotation can significantly affect neutron-star (NS) properties, but accurate modeling of rapidly rotating NSs requires solving a two-dimensional, axially symmetric system, making traditional calculations too expensive for inference analyses…

高能天体物理现象 · 物理学 2026-04-08 Wen Liu , Lingxiao Wang , Zhenyu Zhu

We construct a secular theory of a coplanar system of N-planets not involved in strong mean motion resonances, and which are far from collision zones. Besides the point-to-point Newtonian mutual interactions, we consider the general…

天体物理学 · 物理学 2009-11-13 Cezary Migaszewski , Krzysztof Gozdziewski

In order to examine the rotational effect around neutron star in tensor-vector-scalar (TeVeS) theory, we consider the slowly rotating relativistic stars with a uniform angular velocity. As a result, we find that similar to the case in…

高能天体物理现象 · 物理学 2011-01-17 Hajime Sotani

We perform simulations of relativistic binary stars in post-Newtonian gravity to investigate their dynamical stability prior to merger against gravitational collapse in a tidal field. In general, our equations are only strictly accurate to…

广义相对论与量子宇宙学 · 物理学 2009-12-30 M. Shibata , T. W. Baumgarte , S. L. Shapiro

Circumstellar dust particles can be captured in a mean motion resonance with a planet and simultaneously be affected by non-gravitational effects. It is possible to describe the secular variations of a particle orbit in the mean motion…

地球与行星天体物理 · 物理学 2015-03-04 P. Pastor

Grids of models for rotating stars are constructed in the range of 9 to 120 M$_{\odot}$ at solar metallicity. The following effects of rotation are included: shellular rotation, new structure equations for non-conservative case, surface…

天体物理学 · 物理学 2008-11-26 Georges Meynet , Andre Maeder

Theoretical models of the equation of state (EOS) of neutron-star matter (starting with the crust and ending at the densest region of the stellar core) are reviewed. Apart from a broad set of baryonic EOSs, strange quark matter, and even…

天体物理学 · 物理学 2015-06-24 P. Haensel

Simulations of binary neutron stars have seen great advances in terms of physical detail and numerical quality. However, the spin of the neutron stars, one of the simplest global parameters of binaries, remains mostly unstudied. We present…

广义相对论与量子宇宙学 · 物理学 2015-04-15 Sebastiano Bernuzzi , Tim Dietrich , Wolfgang Tichy , Bernd Bruegmann

Universal relations independently of the equation of state (EOS) for neutron star matter are valuable, if they exist, for extracting the neutron star properties, which generally depend on the EOS. In this study, we newly derive the…

广义相对论与量子宇宙学 · 物理学 2021-11-24 Hajime Sotani , Bharat Kumar

Rotation has a number of important effects on the evolution of stars. Apart from structural changes because of the centrifugal force, turbulent mixing and meridional circulation caused by rotation can dramatically affect a star's chemical…

太阳与恒星天体物理 · 物理学 2015-06-04 Adrian T. Potter , Christopher A. Tout , Ines Brott