Physics
Scientific paper
Jul 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001chphl..18..997w&link_type=abstract
Chinese Physics Letters, Volume 18, Issue 7, pp. 997-999 (2001).
Physics
3
Scientific paper
Taking the cosmological expansion rate directly as a function of the inflaton field ϕ instead of as a function of time, we present a new exact solution to Einstein's equations that describe the evolution of the inflationary universe model. This includes a solution which has nearly exponential inflation for ϕ0⩽ϕ⩽ϕf, and then develops smoothly towards radiation-like evolution for ϕ⩾ϕf. The inflation is driven by the evolution of a scalar field with an inflation potential, V(ϕ) = V0-m2ϕ2/2 + λϕ4/4. The spectral index of the scalar density, ns, is computed and ns lies well inside the limits set by the cosmic background explorer satellite.
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