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- W2052495579 abstract "In this paper we consider cosmological models containing a self-interacting scalar field possessing a potential of the form V(φ) = Λ exp(−λφ). We investigate the inflationary nature of the model in an (N + 1)-dimensional Friedman space-time as well as in some (3 + 1)-dimensional anisotropic cosmological models. We determine the conditions under which power-law inflation occurs by a detailed stability analysis which determines all possible asymptotic behaviour. We also present some new exact solutions which exhibit the transition to power-law inflation. We determine the range of evolutionary behaviours in each case for all λ ⩾ 0 and find the range of λ values for which power-law inflation occurs. We also discuss how potentials of the exponential type may arise in realistic models of the early universe." @default.
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- W2052495579 date "1988-10-01" @default.
- W2052495579 modified "2023-10-16" @default.
- W2052495579 title "Inflationary models with exponential potentials" @default.
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- W2052495579 doi "https://doi.org/10.1016/0550-3213(88)90135-6" @default.
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