Eigenmodes of Rapidly Rotating Neutron Stars

Computer Science

Scientific paper

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Scientific paper

Motivated by the perspective of detecting gravitational waves, we use linearized perturbation theory to formulate the eigenvalue problem of rapidly rotating neutron stars in relativistic gravity and solve for both axisymmetric and non-axisymmetric modes. Next to the - only bound from below in frequency - pressure mode spectrum, we find an infinite set of inertial modes confined to a finite frequency range; its width depends linearly on the rotation rate of the star, and is smaller for increasing compactness. The search for the fundamental r-mode is hindered by the density of the modes and the mixed character of the mode, but still revealed its presence at about the expected frequency.

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