n-dimensional generalizations of the Friedmann Robertson Walker cosmology

Details n-dimensional generalizations of the Friedmann Robertson Walker cosmology n-dimensional generalizations of the Friedmann Robertson Walker cosmology

Feb 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007phlb..645..101g&link_type=abstract

Physics Letters B, Volume 645, Issue 2-3, p. 101-107.

Physics

2

Exact Solutions, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

Within the n-dimensional spatially flat Friedmann Robertson Walker cosmology, determined for a single scalar field minimally coupled to gravity, we derive the n-dimensional Lucchin Mataresse (LM), Barrow Burd Lancaster Madsen (BBLM), and Barrow Saich (BS) cosmological solutions. No matter the dimensions one is dealing with, the potentials follow patterns similar to those ones of the corresponding standard 4-dimensional case; the self interacting potential for the n-LM inflationary model exhibits an exponential slow roll behavior as function of the scalar field, the potential of the n-BBLM model presents a Mexican-hat shape, while the potential for the n-BS cosmology, allowing for the simultaneous presence of a matter perfect fluid and a scalar field, follows a squared cosecant hyperbolic pattern.

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