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Gravitational waves and core-collapse supernovaea Space Research Institute, Russian Academy of Sciences, Profsoyuznaya str. 84/32, Moscow, 117997, Russian Federation b National Research Nuclear University ‘MEPhI’, Kashirskoe shosse 31, Moscow, 115409, Russian Federation A mechanism of formation of gravitational waves in the Universe is considered for the nonspherical collapse of matter. Nonspherical collapse results are presented for a uniform spheroid of dust, and a finite entropy spheroid. Numerical simulation results on core-collapse supernova explosion are presented for the neutrino and magneto-rotational models. These results are used to estimate the nondimensional amplitude of the gravitational wave with frequency ν ~ 1300 Hz, radiated during the collapse (calculated by the authors in 2D) of the rotating nucleus of a pre-supernova with a mass of 1.2 M⊙. This estimate agrees well with many other calculations (presented in this paper) which have been done in 2D and 3D settings and which rely on more exact and sophisticated calculations of the gravitational wave amplitude. The formation of the large scale structure of the Universe in the Zel'dovich pancake model involves the radiation of very long-wavelength gravitational waves. The average amplitude of these waves is calculated from the simulation, in the uniform spheroid approximation, of the nonspherical collapse of noncollisional dust matter, which imitates dark matter. It is noted that the gravitational wave radiated during a core-collapse supernova explosion in our Galaxy is of sufficient amplitude to be detected by existing gravitational wave telescopes.
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