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The gravitational wave spectrum of non-axisymmetric, freely precessing neutron stars
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abstract
Evidence for free precession has been observed in the radio signature of several pulsars. Freely precessing pulsars radiate gravitationally at frequencies near the rotation rate and twice the rotation rate, which for rotation frequencies greater than $\sim 10$ Hz is in the LIGO band. In older work, the gravitational wave spectrum of a precessing neutron star has been evaluated to first order in a small precession angle. Here we calculate the contributions to second order in the wobble angle, and we find that a new spectral line emerges. We show that for reasonable wobble angles, the second-order line may well be observable with the proposed advanced LIGO detector for precessing neutron stars as far away as the galactic center. Observation of the full second-order spectrum permits a direct measurement of the star's wobble angle, oblateness, and deviation from axisymmetry, with the potential to significantly increase our understanding of neutron star structure.
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Cited by 1 Pith paper
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Galactic double neutron stars as dual-line gravitational-wave sources: Prospects with LISA and Cosmic Explorer
A Monte Carlo population forecast predicts 6 to 22 spinning neutron star components in LISA-detectable double neutron stars will be detectable by Cosmic Explorer, with a moment-of-inertia accuracy near 8%.
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