Summary
A model is proposed in which the universe evolves from vacuo. At the Planck time a vacuum energy is considered and quantum fluctuations taken into account. These fluctuations cause the initial De Sitter event horizon to disappear and in this way the so-called cosmological constant also comes down to the actual value. This «constant» in fact results to be inversely proportional to the squared radius of the De Sitter event horizon. For increasingt, H(t)→ 0 and it is possible to match the proposed model with an FRW universe.
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References
We do not try, here, to give references. The reader can find a thorough discussion of the past and the present of the problem of the cosmological constant inW. H. McCrea:Q. J. R. Astron. Soc,12, 140 (1971) andS. Weinberg:Rev. Mod. Phys.,61,1 (1989), the latter with complete references. As to the inflationary models, the recent bookR. Dominguez-Tenreiro andM. Quiròs:An Introduction to Cosmology and Particle Physics (World Scientific, Singapore, 1988), gives a wide exposition with copious references.
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Presented at the Second Italian-Korean Meeting on Relativistic Astrophysics held at the University of Rome and in Limone Piemonte in July 1989.
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Boccaletti, D. A new cosmological model in a theory of gravitation with higher derivatives and the problem of the cosmological constant. Nuovo Cim B 105, 929–935 (1990). https://doi.org/10.1007/BF02741562
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DOI: https://doi.org/10.1007/BF02741562