General Relativistic Stars: Polytropic Equations of State
نویسندگان
چکیده
منابع مشابه
General Relativistic Stars : Polytropic Equations of State
In this paper, the gravitational field equations for static spherically symmetric perfect fluid models with a polytropic equation of state, p = kρ1+1/n, are recast into two complementary 3-dimensional regular systems of ordinary differential equations on compact state spaces. The systems are analyzed numerically and qualitatively, using the theory of dynamical systems. Certain key solutions are...
متن کاملGeneral Relativistic Stars: Linear Equations of State
In this paper Einstein’s field equations, for static spherically symmetric perfect fluid models with a linear barotropic equation of state, are recast into a 3-dimensional regular system of ordinary differential equations on a compact state space. The system is analyzed qualitatively, using the theory of dynamical systems, and numerically. It is shown that certain special solutions play importa...
متن کاملQuasi-normal modes of rotating relativistic stars - neutral modes for realistic equations of state
We compute zero-frequency (neutral) quasi-normal f -modes of fully relativistic and rapidly rotating neutron stars, using several realistic equations of state (EOSs) for neutron star matter. The zero-frequency modes signal the onset of the gravitational radiation-driven instability. We find that the l = m = 2 (bar) f -mode is unstable for stars with gravitational mass as low as 1.0 − 1.2M⊙, dep...
متن کاملStability of Rigidly Rotating Relativistic Stars with Soft Equations of State against Gravitational Collapse
We study secular stability against a quasi-radial oscillation for rigidly rotating stars with soft equations of state in general relativity. The polytropic equations of state with polytropic index n between 3 and 3.05 are adopted for modeling the rotating stars. The stability is determined in terms of the turning-point method. It is found that (i) for n >∼ 3.04, all the rigidly rotating stars a...
متن کاملAcoustic oscillations of rapidly rotating polytropic stars
Context. With the launch of space missions devoted to asteroseismology (like COROT), the scientific community will soon have accurate measurements of pulsation frequencies in many rapidly rotating stars. Aims. The present work focuses on the effects of rotation on pulsations of rapidly rotating stars when both the Coriolis and centrifugal accelerations require a non-perturbative treatment. Meth...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annals of Physics
سال: 2000
ISSN: 0003-4916
DOI: 10.1006/aphy.2000.6090