منابع مشابه
The r-modes of rotating fluids
An analysis of the toroidal modes of a rotating fluid, by means of the differential equations of motion is not readily tractable. A matrix representation of the equations in a suitable basis, however, simplifies the problem considerably and reveals many of its intricacies. Let Ω be the angular velocity of the star and (l, m) be the two integers that specify a spherical harmonic function. One re...
متن کاملNonlinear Couplings Between r-modes of Rotating Neutron Stars
The r-modes of neutron stars can be driven unstable by gravitational radiation. While linear perturbation theory predicts the existence of this instability, linear theory can’t provide any information about the nonlinear development of the instability. The subject of this paper is the weakly nonlinear regime of fluid dynamics. In the weakly nonlinear regime, the nonlinear fluid equations are ap...
متن کاملNonlinear Evolution of R-modes in Rotating Relativistic Stars
A numerical study of nonlinear r-modes in isentropic, rapidly rotating relativistic stars, via 3-D general-relativistic hydrodynamical evolutions, is presented. On dynamical timescales, we find no evidence for strong coupling of r-modes to other modes at amplitudes of order one or larger. Therefore, unless nonlinear saturation sets in on longer timescales, the maximum r-mode amplitude is of ord...
متن کاملr-modes of slowly rotating non-isentropic relativistic stars
We investigate properties of r-modes characterized by regular eigenvalue problem in slowly rotating relativistic polytropes. Our numerical results suggest that discrete r-mode solutions for the regular eigenvalue problem exist only for restricted polytropic models. In particular the r-mode associated with l = m = 2, which is considered to be the most important for gravitational radiation driven...
متن کاملTides in Rotating Fluids
We _consider t~e _tidal disturbance_ fo~c~d ~n a differentially rotating fluid by a rigidly rotating external potential. The flmd ~s assumed to be mviscid, msl:llated, and self-gravitating, and to have laminar unperturbed and pe~tu~bed velocity fields. The external potential may exert a steady torque on the fluid which is of second order m Its str~ngth. ~owever, to this. order, we prove that th...
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ژورنال
عنوان ژورنال: Astronomy & Astrophysics
سال: 2001
ISSN: 0004-6361,1432-0746
DOI: 10.1051/0004-6361:20010866