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26 April 2024
 
  » arxiv » 1512.2502

 Article overview



The stochastic background of gravitational waves due to the f-mode instability in neutron stars
Marco Surace ; Kostas D. Kokkotas ; Pantelis Pnigouras ;
Date 8 Dec 2015
AbstractThis paper presents an estimate for the spectral properties of the stochastic background of gravitational waves emitted by a population of hot, young, rapidly rotating neutron stars throughout the Universe undergoing $f$-mode instabilities, formed through either core-collapse supernova explosions or the merger of binary neutron star systems. Their formation rate, from which the gravitational wave event rate is obtained, is deduced from observation-based determinations of the cosmic star formation rate. The gravitational wave emission occurs during the spin-down phase of the $f$-mode instability. For low magnetized neutron stars and assuming 10\% of supernova events lead to $f$-mode unstable neutron stars, the background from supernova-derived neutron stars peaks at $Omega_{ ext{gw}} sim 10^{-9}$ for the $l=m=2$ $f$-mode, which should be detectable by cross-correlating a pair of second generation interferometers (e.g. Advanced LIGO/Virgo) with an upper estimate for the signal-to-noise ratio of $approx$ 9.8. The background from supramassive neutron stars formed from binary mergers peaks at $Omega_{ ext{gw}} sim 10^{-10}$ and should not be detectable, even with third generation interferometers (e.g. Einstein Telescope).
Source arXiv, 1512.2502
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