FIZIKA B 19 (2010) 4 , 269282
HIGHERDIMENSIONAL NONSINGULAR COSMOLOGY DOMINATED BY A VARYING COSMOLOGICAL CONSTANT
RAMI AHMAD ELNABULSI
Department of Nuclear Engineering, Cheju National University, Aradong 1, Jeju 690756, South Korea
and
College of Mathematics and Information Sciences, Neijiang Normal University,
Neijiang 641112, Sichuan, China Email address:
nabulsiahmadrami@yahoo.fr
Received 4 October 2010; Revised manuscript received 26 March 2011
Accepted 9 February 2011 Online 6 May 2011
Two of the greatest problems in theoretical physics today are the accelerated
expansion of the universe and the singularity problem at the origin of time.
This crisis has been attacked head on, but no convincing, welldeveloped and
wellmotivated solutions have emerged. While much work in literature has focused
on the search for new matter sources that yield accelerating solutions, and to
avoid concurrently the initial singularity, more recently complementary approach
of examining whether alternative theories of gravity might be responsible for
cosmic acceleration and whether the singularity problem may be avoided was
developed. The work done in this paper is just a kind of the simple modified
gravitational physics to solve both problems simultaneously. In the present
work, we analyze all kinematic expressions for a closed but effectively flat
universe when the cosmological constant and the matter density decays,
respectively, like Λ = Cä/a and
ρ(a)=βG^{−1}(a)a^{−2}/(8π), where C and β are
real positive parameters, a(a) is the scale factor and G is
the gravitational coupling constant which is assumed to depend
on the scale factor as predicted by several models. It is
found for some constrained parameters that the universe is
closed but effectively flat, free from the initial singularity,
dominated by dark energy and is accelerated in time.
Expressions for some observable quantities were derived and
are found to be compatible with available recent astrophysical
findings.
PACS numbers: 04.50.+h, 11.25.Yb, 98.80.Es, 95.36.+x
UDC 524.83
Keywords: higherdimensional cosmology, decaying lambda, decaying density
of matter, nonsingular cosmology, dark energy
