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@Article{PereiraMira:2010:StBaGr,
               author = "Pereira, Eduardo S. and Miranda, Oswaldo Duarte",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Stochastic background of gravitational waves generated by 
                         pre-galactic black holes",
              journal = "Monthly Notices of the Royal Astronomical Society",
                 year = "2010",
               volume = "401",
               number = "3",
                pages = "1924--1932",
             keywords = "black hole physics  gravitational waves  large-scale structure 
                         of Universe.",
             abstract = "In this work, we consider the stochastic background of 
                         gravitational waves (SBGWs) produced by pre-galactic stars, which 
                         form black holes in scenarios of structure formation. The 
                         calculation is performed in the framework of hierarchical 
                         structure formation using a PressSchechter-like formalism. Our 
                         model reproduces the observed star formation rate at redshifts 
                         z\≲ 6.5 . The signal predicted in this work is below the 
                         sensitivity of the first generation of detectors but could be 
                         detectable by the next generation of ground-based interferometers. 
                         Specifically, correlating two coincident advanced Laser 
                         Interferometer Gravitational-Wave Observatory (LIGO) detectors 
                         (LIGO III interferometers), the expected signal-to-noise ratio 
                         (S/N) could be as high as 90 (10) for stars forming at redshift 
                         z\≃ 20 with a Salpeter initial mass function with slope x= 
                         0.35 (1.35), and if the efficiency of generation of gravitational 
                         waves, namely, \εGW is close to the maximum value \∼7 
                          10\−4 . However, the sensitivity of the future third 
                         generation of detectors as, for example, the European antenna EGO 
                         could be high enough to produce S/N > 3 same with 
                         \εGW\∼ 2  10\−5 . We also discuss what 
                         astrophysical information could be derived from a positive (or 
                         even negative) detection of the SBGWs investigated here.",
                  doi = "10.1111/j.1365-2966.2009.15774.x",
                  url = "http://dx.doi.org/10.1111/j.1365-2966.2009.15774.x",
                 issn = "1365-2966",
             language = "en",
           targetfile = "stochastic background.pdf",
        urlaccessdate = "25 jan. 2021"
}


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