Summary
According to Zel’dovich, the energy tensor of the polarized vacuum of quantum field theory implies the existence of a non-zero cosmological A term in i Einstein’s gravitational equation. I investigate the consequences of Zel’dovich’s λ in a spatially flat isotropic universe with the Hubble parameterH proportional tot −1 (t = the cosmic time); I find:tH > 2/3, -1 <q < 1/2, λt2 = constant,Gt = constant, whereq is the deceleration parameter andG the gravitational coupling; another result is a mass creation process throughout the universe at the rate 10−47gs−3 cm−3. This approach explains two well-known empirical relations connecting microphysics to cosmology.
Similar content being viewed by others
References
M. S. Berman:Nuovo Cimento B,74, 182 (1983).
Ya. B. Zel’dovich:Sov. Phys. Usp.,11, 381 (1968).
G. F. R. Ellis:Relativistic cosmology: its nature, aims and problems, inGeneral Relativity and Gravitation, edited byB. Bertotti, F. de Felice andA. Pascolini (D. Reidel Publishing Company, Dordrecht, 1984), p. 218.
O. Bertolami:Nuovo Cimento B,93, 36 (1986).
P. Caldirola, M. Pavsic andE. Recami:Nuovo Cimento B,48, 205 (1978), see pp. 212, 216, 233;E. Recami:Found. Phys.,13, 341 (1983);S. Weinberg:Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, N.Y., 1972).
P. A. M. Dirac:Proc. R. Soc. London, Ser. A,165, 199 (1938).
V. M. Canuto, P. J. Adams andS. H. Hsieh:Phys. Rev. D,16, 1643 (1977);J. V. Narlikar:Introduction to Cosmology (Jones and Bartlett Publishers, Boston, Mass., 1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Massa, C. Some possible consequences of Zel’dovich’s cosmological term. Nuov Cim B 108, 1423–1426 (1993). https://doi.org/10.1007/BF02755194
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02755194