Abstract
Summary, conclusions, and final remarks.
Gravitational wave detection is about seeing
the biggest things that ever happen—the collisions, explosions,
and quakings of stars and black holes—by measuring
the smallest changes that have ever been measured.
Harry Collins, Gravity’s shadow (2004)
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Notes
- 1.
Harry Collins, Gravity’s shadow: The search for gravitational waves, Introduction. Chicago: The University of Chicago Press (2004).
- 2.
Specifically, of a neutron star with baryon mass \(M_b\approx 3\,M_\odot \), described by the WFF2 equation of state, used in Doneva et al. (2015). The star enters the instability window of the quadrupole \((l=m=2)\) f-mode, rotating at the Kepler limit and emitting gravitational waves with a frequency of \(810\,\mathrm {Hz}\). After \(\sim 10\,\mathrm {min}\), thermal equilibrium is reached and the star starts descending the window. During this phase, which lasts \(\sim 10\,\mathrm {hrs}\), the gravitational-wave frequency continuously decreases to \(360\,\mathrm {Hz}\), until the star collapses to a black hole. The f-mode saturation amplitude is set, throughout the evolution, to \(|Q|=10^{-3}\).
References
Doneva, D. D., Kokkotas, K. D., & Pnigouras, P. (2015). Gravitational wave afterglow in binary neutron star mergers. Physical Review D, 92, 104040. https://doi.org/10.1103/PhysRevD.92.104040, arXiv:1510.00673.
Kastaun, W., Willburger, B., & Kokkotas, K. D. (2010). Saturation amplitude of the f-mode instability. Physical Review D, 82, 104036. https://doi.org/10.1103/PhysRevD.82.104036, arXiv:1006.3885.
Passamonti, A., & Glampedakis, K. (2012). Non-linear viscous damping and gravitational wave detectability of the f-mode instability in neutron stars. Monthly Notices of the Royal Astronomical Society, 422, 3327–3338. https://doi.org/10.1111/j.1365-2966.2012.20849.x, arXiv:1112.3931.
Passamonti, A., Gaertig, E., Kokkotas, K. D., & Doneva, D. (2013). Evolution of the f-mode instability in neutron stars and gravitational wave detectability. Physical Review D, 87, 084010. https://doi.org/10.1103/PhysRevD.87.084010, arXiv:1209.5308.
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Pnigouras, P. (2018). Final Remarks. In: Saturation of the f-mode Instability in Neutron Stars. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-98258-8_6
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