Non-linear Evolution of Rotating Relativistic Stars

Details Non-linear Evolution of Rotating Relativistic Stars Non-linear Evolution of Rotating Relativistic Stars

1999-04-05

arxiv.org/abs/gr-qc/9904009v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 4 figures, Contribution to the 19th Texas Symposium

Scientific paper

We present first results of the non-linear evolution of rotating relativistic stars obtained with an axisymmetric relativistic hydrodynamics code in a fixed spacetime. As initial data we use stationary axisymmetric and perturbed configurations. We find that, in order to prevent (numerical) angular momentum loss at the surface layers of the star a high-resolution grid (or a numerical scheme that retains high order at local extrema) is needed. For non-rotating stars, we compute frequencies of radial and non-radial small-amplitude oscillations, which are in excellent agreement with linear normal mode frequencies computed in the Cowling approximation. As a first application of our code, quasi-radial modes of rapidly rotating relativistic stars are computed. By generalizing our numerical code to 3-D, we plan to study the evolution and non-linear dynamics of toroidal oscillations (r-modes) of rapidly rotating neutron stars, which are a promising source of gravitational waves.

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