Exact Perturbations for inflation with smooth exit

Details Exact Perturbations for inflation with smooth exit Exact Perturbations for inflation with smooth exit

1997-07-15

arxiv.org/abs/gr-qc/9707033v2

Gen.Rel.Grav. 30 (1998) 289-297; Erratum-ibid. 30 (1998) 519

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor errors corrected

Scientific paper

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 growing modes, and zero for the decaying modes.

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