2006
DOI: 10.1086/505422
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Gravitational Radiation from Nonaxisymmetric Spherical Couette Flow in a Neutron Star

Abstract: The gravitational-wave signal generated by global, nonaxisymmetric shear flows in a neutron star is calculated numerically by integrating the incompressible Navier-Stokes equation in a spherical, differentially rotating shell. At Reynolds numbers Re տ 3 #10 3 the laminar Stokes flow is unstable, and helical, oscillating Taylor-Görtler vortices develop. The gravitational-wave strain generated by the resulting kinetic energy fluctuations is computed in both plus and cross polarizations as a function of time. It … Show more

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Cited by 36 publications
(66 citation statements)
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“…The cross-correlation algorithm in Section III A must be accompanied by a parameterized model for the phase and frequency of the signal as functions of time, in terms of which we express the factors ∆Φ IJ and ν(T I ) − ν(T J ) in equations (5) (4) . As noted in Section II B, N total is suppressed strongly by the factor ξ 10 , with ξ 10 1 for SNR 1987A.…”
Section: B Astrophysical Phase Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…The cross-correlation algorithm in Section III A must be accompanied by a parameterized model for the phase and frequency of the signal as functions of time, in terms of which we express the factors ∆Φ IJ and ν(T I ) − ν(T J ) in equations (5) (4) . As noted in Section II B, N total is suppressed strongly by the factor ξ 10 , with ξ 10 1 for SNR 1987A.…”
Section: B Astrophysical Phase Modelmentioning
confidence: 99%
“…Second, less time has passed in young objects for their crusts and interiors to settle down and erase historical nonaxisymmetries frozen-in at birth. Third, young objects spin down rapidly, driving crust-superfluid differential rotation which can excite nonaxisymmetric flows in the high-Reynolds-number interior [4][5][6]. For a review of gravitational wave generation mechanisms in neutron stars, see Ref.…”
Section: Introductionmentioning
confidence: 99%
“…Prima facie, therefore, the lower bound implied by (11), with T 1 year obs » and S f ( ) 9 h »1 0 Hz 48 1 --for Advanced LIGO, 9 is potentially detectable and deserves careful consideration. One advantage is that the vortices pin to the crust, so the radio ephemeris (which tracks the crust) should be phase locked to the gravitational wave signal, which is not always true for other emission mechanisms, e.g., superfluid wave modes (Peralta et al 2006a;Sidery et al 2010). Previous directed coherent searches for known pulsars in data from LIGO Science Run 5, guided by a known radio or X-ray ephemeris, have reported 95% confidence upper bounds of h 7.2 10 0 26 -⩽ (median of 116 objects) and h 2.3 10 0 26 -⩽ (minimum; PSR J1603-7202), approaching the indirect spin-down limit in certain objects (Abbott et al 2010).…”
Section: Detectabilitymentioning
confidence: 99%
“…In old neutron stars, the presence of a solid crust plays an important role in the balance between the growth of the r-mode amplitude due to the CFS instability and its dissipation [12][13][14][15][16][17]. One simple, but useful, model assumes a perfectly rigid crust [12][13][14].…”
mentioning
confidence: 99%