1205.3893 (Shin'ichirou Yoshida)

Non-axisymmetric oscillations of rapidly rotating relativistic stars by
conformal flatness approximation    [PDF]

Shin'ichirou Yoshida

We present a new numerical code to compute non-axisymmetric eigenmodes of rapidly rotating relativistic stars by adopting spatially conformal flat approximation of general relativity. The approximation omits the radiative degree of freedom of relativistic gravity and the set of equations can be cast into the similar form as those in the corresponding Newtonian problem. The code developed computes eigenmodes of rapidly rotating stars by taking advantage of this similarity to Newtonian problem. The code is tested against the low order f- and p-modes of slowly rotating stars which shows a good agreement of frequencies computed by our new code and those by the full theory. Also entire sequences of the low order counter-rotating f-modes are computed, which are susceptible to an instability driven by gravitational radiation.

View original: http://arxiv.org/abs/1205.3893