On the r-mode spectrum of relativistic stars
نویسندگان
چکیده
منابع مشابه
On the r-mode spectrum of relativistic stars
We present a mathematically rigorous proof that the r-mode spectrum of relativistic stars to the rotational lowest order has a continuous part. A rigorous definition of this spectrum is given in terms of the spectrum of a continuous linear operator. This study verifies earlier results by Kojima (1998) about the nature of the r-mode spectrum.
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The axial modes for barotropic relativistic rotating neutron stars with uniform angular velocity are studied, using the slow rotation formalism together with the low frequency approximation, first investigated by Kojima. The time independent form of the equations leads to a singular eigenvalue problem, which admits a continuous spectrum. We show that is nevertheless always possible to find disc...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1999
ISSN: 0035-8711,1365-2966
DOI: 10.1046/j.1365-8711.1999.02739.x