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Intermediate inflation and the slow-roll approximation

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Rendall,  Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0501072.pdf
(Preprint), 170KB

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Citation

Rendall, A. D. (2005). Intermediate inflation and the slow-roll approximation. Classical and Quantum Gravity, 22, 1655-1666.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4ECB-6
Abstract
It is shown that spatially homogeneous solutions of the Einstein equations coupled to a nonlinear scalar field and other matter exhibit accelerated expansion at late times for a wide variety of potentials V. These potentials are strictly positive but tend to zero at infinity. They satisfy restrictions on V'/V and V"/V' related to the slow-roll approximation. These results generalize Wald's theorem for spacetimes with positive cosmological constant to those with accelerated expansion driven by potentials belonging to a large class.