Approximate equation relevant to axial oscillations on slowly rotating relativistic stars

Details Approximate equation relevant to axial oscillations on slowly rotating relativistic stars Approximate equation relevant to axial oscillations on slowly rotating relativistic stars

2000-04-18

arxiv.org/abs/gr-qc/0004058v1

Phys.Rev. D62 (2000) 044006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13pages, no figures, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.62.044006

Axial oscillations relevant to the r-mode instability are studied with slow rotation formalism in general relativity. The approximate equation governing the oscillations is derived with second-order rotational corrections. The equation contains an effective 'viscosity-like' term, which originates from coupling to the polar g-mode displacements. The term plays a crucial role on the resonance point, where the disturbance on the rotating stars satisfies a certain condition at the lowest order equation. The effect is significant for newly born hot neutron stars, which are expected to be subject to the gravitational radiation driven instability of the r-mode.

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