Inflationary models with exponential potentials

Details Inflationary models with exponential potentials Inflationary models with exponential potentials

Oct 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988nuphb.308..929b&link_type=abstract

Nuclear Physics B, Volume 308, Issue 4, p. 929-945.

Physics

Nuclear Physics

193

Scientific paper

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.

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