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Formalizing the slow-roll approximation in inflation.
This work proposes a new measure of inflation, based upon contraction of the comoving Hubble length as opposed to the usual $e$-foldings of physical expansion, and derives relevant formulae from an infinite hierarchy of slow-roll parameters.
Inflationary models with logarithmic potentials.
  • Barrow, Parsons
  • Mathematics
    Physical review. D, Particles and fields
  • 7 June 1995
This work constructs a family of exact solutions to the equations of motion with potentials resembling the above form and demonstrates their inflationary nature; deflationary and conflationary cosmological behaviours are also defined and identified.
Generalized scalar field potentials and inflation.
  • Parsons, Barrow
  • Physics
    Physical review. D, Particles and fields
  • 23 January 1995
Analysing the behaviour of inflationary universe models at the extrema of $\phi$ derives sufficient constraints on the parameter space such that inflation may occur as both an early and late-time phenomenon.