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Phys. Rev. D 72, 064008 (2005) [9 pages]

Need of dark energy for dynamical compactification of extra dimensions on the brane

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Bertha Cuadros-Melgar1,2 and Eleftherios Papantonopoulos2
1National Technical University of Athens, Physics Department, Zografou Campus, GR 157 80, Athens, Greece
2Instituto de Fisica, Universidade de São Paulo C. P. 66.318, CEP 05315-970, São Paulo, Brazil

Received 21 July 2005; published 14 September 2005

We consider a six-dimensional braneworld model and we study the cosmological evolution of a (4+1) brane-universe. Introducing matter on the brane we show that the scale factor of the physical three-dimensional brane-universe is related to the scale factor of the fourth dimension on the brane, and the suppression of the extra dimension compared to the three dimensions requires the presence of dark energy.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.064008
DOI:
10.1103/PhysRevD.72.064008
PACS:
04.50.+h, 11.10.Kk, 98.80.Jk, 97.60.Lf

Electronic address: bertha@fma.if.usp.br

Electronic address: lpapa@central.ntua.gr