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Anisotropic neutron star crust, solar system mountains, and gravitational waves
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abstract
"Mountains" or non-axisymmetric deformations of rotating neutron stars (NS) efficiently radiate gravitational waves (GW). We consider analogies between NS mountains and surface features of solar system bodies. Both NS and moons such as Europa or Enceladus have thin crusts over deep oceans while Mercury has a thin crust over a large metallic core. Thin sheets may wrinkle in universal ways. Europa has linear features, Enceladus has "Tiger" stripes, and Mercury has lobate scarps. NS may have analogous features. The innermost inner core of the Earth is anisotropic with a shear modulus that depends on direction. If NS crust material is also anisotropic this will produce an ellipticity, when the crust is stressed, that grows with spin frequency. This yields a braking index (log derivative of spin down rate assuming only GW spin down) very different from $n=5$ and could explain the maximum spin observed for neutron stars and a possible minimum ellipticity of millisecond pulsars.
Forward citations
Cited by 2 Pith papers
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Search for continuous gravitational waves from the pulsar J0435+3233
A LIGO O4a search for continuous gravitational waves from millisecond pulsar J0435+3233 finds no signal, setting h0<5.8×10^-27 at 95% confidence and an ellipticity limit of 1.6×10^-8.
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Constraining shear modulus of polycrystalline neutron star crust: Hashin-Shtrikman variational approach
Hashin-Shtrikman variational bounds show that the effective shear modulus of a polycrystalline neutron star crust is lower than the commonly assumed Voigt value, with narrower upper and lower limits.
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