Universality in Quasi-normal Modes of Neutron Stars

Details Universality in Quasi-normal Modes of Neutron Stars Universality in Quasi-normal Modes of Neutron Stars

2004-12-06

arxiv.org/abs/gr-qc/0412024v1

Mon.Not.Roy.Astron.Soc.357:1029-1037,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 9 figures

Scientific paper

10.1111/j.1365-2966.2005.08710.x

We study the universality in gravitational waves emitted from non-rotating neutron stars characterized by different equations of state (EOS). We find that the quasi-normal mode frequencies of such waves, including the $w$-modes and the $f$-mode, display similar universal scaling behaviours that hold for most EOS. Such behaviours are shown to stem from the mathematical structure of the axial and the polar gravitational wave equations, and the fact that the mass distribution function can be approximated by a cubic-quintic polynomial in radius. As a benchmark for other realistic neutron stars, a simple model of neutron stars is adopted here to reproduce the pulsation frequencies and the generic scaling behaviours mentioned above with good accuracy.

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