Exact perturbations for inflation with smooth exit

Roy Maartens, Daniel Tilley

Research output: Contribution to journalArticlepeer-review


Toy models for the Hubble rate or the scalar field potential have been used to analyze the amplification of scalar perturbations through a smooth transition from inflation to the radiation era. We use a Hubble rate that arises consistently from a decaying vacuum cosmology, which evolves smoothly from nearly de Sitter inflation to radiation domination. We find exact solutions for super-horizon perturbations (scalar and tensor), and for sub-horizon perturbations in the vacuum- and radiation-dominated eras. The standard conserved quantity for super-horizon scalar perturbations is exactly constant for the growing modes, and zero for the decaying modes.
Original languageEnglish
Pages (from-to)289-297
JournalGeneral Relativity and Gravitation
Issue number2
Publication statusPublished - Feb 1998


  • cosmology
  • inflation
  • cosmological perturbations


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