Regularizing the r-mode problem for nonbarotropic relativistic stars
نویسندگان
چکیده
منابع مشابه
Implications of the R-mode Instability of Rotating Relativistic Stars
Several recent surprises appear dramatically to have improved the likelihood that the spin of rapidly rotating, newly formed neutron stars (and, possibly, of old stars spun up by accretion) is limited by a nonaxisymmetric instability driven by gravitational waves. Except for the earliest part of the spin-down, the axial l=m=2 mode (an r-mode) dominates the instability, and the emitted waves may...
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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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15 صفحه اولOn the r-mode spectrum of relativistic stars in the low frequency approximation
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: Classical and Quantum Gravity
سال: 2004
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/21/19/012