Mathematics – Logic
Scientific paper
Mar 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.1517w&link_type=abstract
Physical Review D (Particles and Fields), Volume 39, Issue 6, 15 March 1989, pp.1517-1523
Mathematics
Logic
7
Origin And Formation Of The Universe, Lagrangian And Hamiltonian Approach
Scientific paper
A theory with a vanishing cosmological constant can have a nonzero effective cosmological constant of cosmological significance if the theory has a scalar field with a mass m of the order of the inverse age of the Universe (τ~1033 eV-1) provided the field has a nonzero but evolving expectation value. We discuss the cosmological consequences of scalar fields with masses m<~10-28 eV. The effect on the age of the Universe and on the growth of density perturbations is discussed in detail. For small masses (m<~τ-1~10-33 eV) the Universe behaves precisely as if a cosmological constant were present. For masses several orders of magnitude greater than τ-1 for which φ has made several oscillations only density perturbations on scales greater than m-1 grow significantly.
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