Extra dimensions and inflation

Mazumdar, Anupam (1999) Extra dimensions and inflation. Physics Letters B, 469 (1-4). pp. 55-60. ISSN 0370-2693

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It has been proposed that, without invoking supersymmetry, it is possible to solve the hierarchy problem provided the fundamental scale in the higher dimensional theory is at a much lower scale than the Planck scale. In this paper we consider a toy model where we allow $4+d$ dimensions to evolve from a region determined by the new fundamental scale, which is in our case is electro-weak scale. We further investigate whether it is possible to inflate not only the 3 uncompactified dimensions but also the extra dimensions. We require around 70 e-foldings to stabilize the size of two extra dimensions from $M_{\rm EW}^{-1}$ to the required 1 mm size. This can be easily achieved during inflation, but once inflation ends their evolution is governed by the dynamical history of the universe in a similar way that of Brans-Dicke field in generalized Einstein theories. We also show that we achieve the right level of density contrast without invoking any specific potential. The density contrast depends on the number of extra dimensions and upon the amplitude of the potential.

Item Type:
Journal Article
Journal or Publication Title:
Physics Letters B
Additional Information:
4 pages, Final version to appear in Physics Letters B
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Deposited On:
09 May 2013 09:10
Last Modified:
20 Sep 2023 00:28