NONSINGULAR COSMOLOGICAL MODEL WITH MATTER CREATION AND ENTROPY PRODUCTION

The study of nonsingular cosmological models [4] based on a theory of gravitation in flat space-times [1] is continued. For a radiation free universe the solution of the model is given analytically. Under the assumption that entropy cannot decrease the cosmological constant must be zero. At the beginning of the universe all energy is in the form of gravitation. The universe contracts. Matter and radiation are created out of gravitational energy and entropy is produced. The contraction stops and then the universe expands without limit. The creation of matter continues producing entropy but today the production of matter and entropy is negligible. The density parameter Ω0 ≈ 1, i.e. there must be "missing mass" in the universe. The "flatness" and the "homogeneity" problem are solved. © 1990 Plenum Publishing Corporation.