Abstract
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.
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REFERENCES
Deruelle, N., and Mukhanov, V. F. (1995). Phys. Rev. D 52, 5549.
Caldwell, R. R. (1996). Class. Quantum Grav. 13, 2437.
Götz, M. (1997). Preprint astro-ph/9704271, to appear in Mon. Not. R. Astron. Soc.
Martin, J., and Schwarz, D. J. (1997). Preprint gr-qc/9704049.
Nesteruk, A. V., Maartens, R., and Gunzig, E. (1997). Preprint astro-ph/9703137.
Lima, J. A. S. (1996). Phys. Rev. D 54, 2572.
Berera, A. (1996). Phys. Rev. D 54, 2519.
Maartens, R., Taylor, D. R., and Roussos, N. (1995). Phys. Rev. D 52, 3358.
Mukhanov, V. F., Feldman, H. A., and Brandenberger, R. H. (1992). Phys. Rep. 215.
Kamke, E. (1983). Differentialgleichen: Lösungsmethoden Und Lösungen (Teubner, Stuttgart).
Gradshteyn, I. S., and Ryzhik, I. M. (1980). Tables of Integrals, Series, and Products (Academic Press, London).
Nesteruk, A. V., and Maartens, R. (1998). In preparation.
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Maartens, R., Tilley, D. Exact Perturbations for Inflation with Smooth Exit. General Relativity and Gravitation 30, 289–297 (1998). https://doi.org/10.1023/A:1018852929430
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DOI: https://doi.org/10.1023/A:1018852929430