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We study stationary axisymmetric configurations of a star model consisting of two barotropic fluids, which are uniformly rotating at two different rotation rates. Analytic approximate solutions in the limit of slow rotation are obtained…

天体物理学 · 物理学 2007-05-23 Reinhard Prix

We construct the first dynamically stable ergostars (equilibrium neutron stars that contain an ergoregion) for a compressible, causal equation of state. We demonstrate their stability by evolving both strict and perturbed equilibrium…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Antonios Tsokaros , Milton Ruiz , Lunan Sun , Stuart L. Shapiro , Kōji Uryū

Evolution of self-gravitating rotating dense stellar systems (e.g. globular clusters, galactic nuclei) with embedded black holes is investigated. The interaction between the black hole and stellar component in differential rotating…

天体物理学 · 物理学 2010-02-04 J. Fiestas , R. Spurzem

Under the assumption of thermal wind balance and effective entropy mixing in constant rotation surfaces, the isorotational contours of the solar convective zone may be reproduced with great fidelity. Even at this early stage of development,…

太阳与恒星天体物理 · 物理学 2015-05-18 Steven A. Balbus , Nigel O. Weiss

The spherically symmetric thin shells of the barotropic fluids with the linear equation of state are considered within the frameworks of general relativity. We study several aspects of the shells as completely relativistic models of stars,…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Konstantin G. Zloshchastiev

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

Patterns of convection in internally heated, self-gravitating rotating spherical fluid shells are investigated through numerical simulations. While turbulent states are of primary interest in planetary and stellar applications the present…

流体动力学 · 物理学 2009-06-09 R. D. Simitev , F. H. Busse

ESTER two-dimensional models solve the steady state structure of fast rotating early-type stars including the large scale flows associated with the baroclinicity of the radiative zones. Models are compared successfully to the fundamental…

太阳与恒星天体物理 · 物理学 2013-10-04 M. Rieutord , F. Espinosa Lara

Many of exoplanetary systems consist of more than one planet and the study of planetary orbits with respect to their long-term stability is very interesting. Furthermore, many exoplanets seem to be locked in a mean-motion resonance (MMR),…

地球与行星天体物理 · 物理学 2017-02-10 Kyriaki I. Antoniadou

We complete previous investigations on the dynamical stability of barotropic stars and collisionless stellar systems. A barotropic star that minimizes the energy functional at fixed mass is a nonlinearly dynamically stable stationary…

天体物理学 · 物理学 2009-11-11 P. H. Chavanis

We investigate a new two-dimensional compressible Navier-Stokes hydrodynamic model design to explain and study large scale ice swirls formation at the surface of the ocean. The linearized model generates a basis of Bessel solutions from…

斑图形成与孤子 · 物理学 2019-07-24 Zhi Zong , Andrei Ludu

We study adiabatic oscillations of rotating self-gravitating gaseous stars in mathematically rigorous manner. The internal motion of the star is supposed to be governed by the Euler-Poisson equations with rotation of constant angular…

偏微分方程分析 · 数学 2025-02-20 Tetu Makino

We present the results of three-dimensional simulations of the deep convective envelope of a young (10 Myr) one-solar-mass star, obtained with the Anelastic Spherical Harmonic code. Since young stars are known to be faster rotators than…

天体物理学 · 物理学 2008-04-03 Jérôme Ballot , Allan Sacha Brun , Sylvaine Turck-Chièze

We present a new method for constructing equilibrium phase models for stellar systems, which we call the iterative method. It relies on constrained, or guided evolution, so that the equilibrium solution has a number of desired parameters…

天体物理学 · 物理学 2009-11-13 S. A. Rodionov , E. Athanassoula , N. Ya Sotnikova

Many exo-solar systems discovered in the last decade consist of planets orbiting in resonant configurations and consequently, their evolution should show long-term stability. However, due to the mutual planetary interactions a multi-planet…

地球与行星天体物理 · 物理学 2013-06-12 George Voyatzis , Kyriaki I. Antoniadou , John D. Hadjidemetriou

Two-dimensional models of rapidly rotating stars are already unavoidable for the interpretation of interferometric or asteroseismic data of this kind of stars. When combined with time evolution, they will allow the including of a more…

太阳与恒星天体物理 · 物理学 2015-06-17 Michel Rieutord , Francisco Espinosa Lara

We propose a new numerical method to compute quasi-equilibrium sequences of general relativistic irrotational binary neutron star systems. It is a good approximation to assume that (1) the binary star system is irrotational, i.e. the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Koji Uryu , Yoshiharu Eriguchi

In the so-called "global polytropic model", we assume planetary systems in hydrostatic equilibrium and solve the Lane--Emden equation in the complex plane. We thus find polytropic spherical shells providing hosting orbits to planets. On the…

地球与行星天体物理 · 物理学 2021-03-24 Vassilis S. Geroyannis

The equilibrium configurations of slowly rotating anisotropic self-gravitating fluids are computed using the extended Hartle structure equations, including anisotropic effects, derived in our previous paper. We focus on the so-called…

广义相对论与量子宇宙学 · 物理学 2025-10-20 Philip Beltracchi , Camilo Posada

We describe a technique for solving the combined collisionless Boltzmann and Poisson equations in a discretised, or lattice, phase space. The time and the positions and velocities of `particles' take on integer values, and the forces are…

天体物理学 · 物理学 2015-06-24 D. Syer , S. Tremaine