Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.181..211l&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 181, no. 2, July 1991, p. 211-235.
Astronomy and Astrophysics
Astrophysics
1
Antimatter, Explosions, Extraterrestrial Matter, Relativistic Velocity, Universe, Astronomical Models, Cosmology, Mathematical Models, Monte Carlo Method, Space-Time Functions
Scientific paper
A model of relativistic fireworks is studied under the assumption that a series of explosions occur. In each explosion the fragments fly apart in arbitrary directions with a given velocity which is a parameter in the model. An exact expression is obtained for the distribution of fragments in velocity space after n explosions. An exact solution is also presented in the limiting case of small velocity steps where the process turns into a diffusion in velocity space. The development in configuration space was obtained through Monte Carlo numerical simulations. The model is applied to metagalactic cosmology. Although single explosions cannot reach the highest redshifts observed in the Hubble expansion, the fireworks model offers a possibility to reach these z-values in a few explosions. The model gives a density inhomogeneity of 20 percent over a tenth of the Hubble distance as seen from a typical position. Observations show a considerably greater irregular variation. The model yields a local velocity dispersion which is too great to comply with observations. A development model is suggested.
Carlqvist Per
Laurent Bertel
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