Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-08-08
Phys.Rev. D63 (2001) 024019
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
36 pages revtex v3.1, 2 eps figures
Scientific paper
10.1103/PhysRevD.63.024019
We study the r-modes and rotational ``hybrid'' modes of relativistic stars. As in Newtonian gravity, the spectrum of low-frequency rotational modes is highly sensitive to the stellar equation of state. If the star and its perturbations obey the same one-parameter equation of state (as with isentropic stars), there exist {\it no pure r-modes at all} - no modes whose limit, for a star with zero angular velocity, is an axial-parity perturbation. Rotating stars of this kind similarly have no pure g-modes, no modes whose spherical limit is a perturbation with polar parity and vanishing perturbed pressure and density. We compute the post-Newtonian corrections to the $l=m$ r-modes of isentropic and non-isentropic uniform density stars.
Andersson Nils.
Friedman John L.
Lockitch Keith H.
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