Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...437...27w&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 437, no. 1, p. 27-34
Astronomy and Astrophysics
Astrophysics
Astronomical Models, Cosmology, Galactic Clusters, Relativity, Universe, Gravitational Effects, Mathematical Models, Relativistic Effects
Scientific paper
The dynamics of the 'fireworks model' of the universe is investigated, taking gravity fully into account. The fireworks model is a metagalactic model, which means that all matter observed is assumed to be part of the metagalaxy: a huge, but finite aggregate of matter. In this way, the meed for an initial singularity is avoided, and the Hubble expansion may be a result from some sort of explosion. However, it has proved to be surprisingly difficult to explain the highest redshifts observed in this way. The fireworks model is a possible remedy to that problem, where high redshifts are obtained in successive steps of explosion. In this paper, general relativistic Boltzmann-like equations are derived to describe the dynamics of such a model. The model is applied to cosmology in two ways. First, the nonrelativistic limit without gravity is investigated. In this case there are exact solutions to the equations. From these it is shown that a model with reasonable values of the density parameter and the random component of the peculiar velocity field cannot explain the highest redshifts observed. Then, a general relativistic perfect fluid approximation is treated numerically. Solutions are obtained where the redshifts have acceptable values. The velocity dispersion, in agreement with the nonrelativistic result, is by far too high to be compatible with observations.
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