An inflationary cosmological model with induced gravity from higher dimensions

Details An inflationary cosmological model with induced gravity from higher dimensions An inflationary cosmological model with induced gravity from higher dimensions

Oct 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985phlb..160...47p&link_type=abstract

Physics Letters B, Volume 160, Issue 1-3, p. 47-54.

Physics

5

Scientific paper

It is shown how dimensional reduction of a (4 + N)-dimensional theory can lead to an effective four-dimensional, broken-symmetry theory of gravity, whose lagrangian density is of the form L = 1/2ɛπ2R + 1/2πkπk - V(π), where R is the Ricci scalar, the field π is the inverse of the radius function of the internal space, and the potential contains both a classical contribution and a Casimir energy -1/2λ'π4. For small π, the Casimir energy dominates, and quantum corrections automatically generate a Coleman-Weinberg potential V(π) = 1/4λπ4[ln(π2/μ2) -1/2] + λ A generalized Rubakov-Shaposhnikov ansatz is made in the (4 + N)-dimensional metric, by means of which the vacuum energy density can be made sufficiently small for compatibility with the cosmological microwave background radiation, for a given λ. It turns out that ɛ = 2(N2 + 2N - 12)-1. Cosmological inflation can be realized, provided that N >~ 20.
Present address.

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