FIZIKA B 19 (2010) 4 , 233-238

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LETTER TO THE EDITOR

ACCELERATED EXPANSION OF THE HIGHER-DIMENSIONAL SPATIALLY FLAT UNIVERSE

R. A. EL-NABULSI
College of Mathematics and Information Science, Qujing Normal University, Qujing, Yunnan 655011, PR China
E-mail address: nabulsiahmadrami@yahoo.fr

Received 31 March 2009;     Revised manuscript received 28 July 2010
Accepted 15 December 2010     Online 6 April 2011

We discuss in this work two independent scenarios of a higher-dimensional spatially flat universe. In the 1st scenario, we conjecture that the cosmological constant varies according to the ansatzs Λ = ρα, α R, where ρ is the energy density assumed to vary like ρ = DHm, (D,m)  R. In the 2nd scenario, we conjecture that the cosmological constant varies like Λ = Gβ, β R, where G is the gravitational coupling constant. Both scenarios reveal many interesting and appealing consequences which are discussed in some details.

PACS numbers: 04.50.+h, 11.25.Yb, 98.80.Es, 95.36.+x
UDC 524.83

Keywords: higher-dimensional cosmology, dark energy, accelerated expansion

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