Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-06-25
Phys.Rev.D64:123001,2001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, 4 figures, accepted for publlication in PRD
Scientific paper
10.1103/PhysRevD.64.123001
We investigate properties of $r$-mode instability in slowly rotating relativistic polytropes. Inside the star slow rotation and low frequency formalism that was mainly developed by Kojima is employed to study axial oscillations restored by Coriolis force. At the stellar surface, in order to take account of gravitational radiation reaction effect, we use a near-zone boundary condition instead of the usually imposed boundary condition for asymptotically flat spacetime. Due to the boundary condition, complex frequencies whose imaginary part represents secular instability are obtained for discrete $r$-mode oscillations in some polytropic models. It is found that such discrete $r$-mode solutions can be obtained only for some restricted polytropic models. Basic properties of the solutions are similar to those obtained by imposing the boundary condition for asymptotically flat spacetime. Our results suggest that existence of a continuous part of spectrum cannot be avoided even when its frequency becomes complex due to the emission of gravitational radiation.
Futamase Toshifumi
Yoshida Shijun
No associations
LandOfFree
R-mode Instability of Slowly Rotating Non-isentropic Relativistic Stars does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with R-mode Instability of Slowly Rotating Non-isentropic Relativistic Stars, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and R-mode Instability of Slowly Rotating Non-isentropic Relativistic Stars will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-194013