Mathematics – Logic
Scientific paper
May 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.5597l&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 10, 15 May 1994, pp.5597-5600
Mathematics
Logic
93
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity
Scientific paper
A nonsingular cosmological scenario based on a new phenomenological decay law for the effective Λ term is proposed. In such a model, the cosmic history began from an instability of the de Sitter spacetime rather than a singularity. The process is characterized by an arbitrary time scale H-1I giving the largest value of the cosmological constant (ΛI=3H2I) and the initial temperature of the Universe. Subsequently, the Universe evolved continuously toward a slightly modified Friedmann-Robertson-Walker cosmology. Among the ``remnants'' of the primordial inflationary period are the present values of the cosmological term Λ0~3βH20, the density parameter Ω0~1-β, and the deceleration parameter q0~(1-3β)/2, where β is smaller than unity. In addition, the age parameter of the vacuum-matter-dominated phase is H0t0~2/3(1-β). It is also shown that, if H-1I is of the order of the Planck time, the Universe started with the Planck temperature and this model is consistent with the theoretically suggested value ΛI/Λ0~10118.
Lima A. S. J.
Maia J. M. F.
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