Arbab I Arbab 2003 Class. Quantum Grav. 20 93 doi:10.1088/0264-9381/20/1/307
Arbab I Arbab1
Show affiliationsWe have considered a cosmological model with a phenomenological model for the cosmological constant of the form Λ = β R̈/R where β is a constant. For an age parameter consistent with observational data, the universe must be accelerating in the presence of a positive cosmological constant. The minimum age of the universe is H−10, where H0 is the present Hubble constant. The cosmological constant is found to decrease as t−2. Allowing the gravitational constant to change with time leads to an ever-increasing gravitational constant at the present epoch. In the presence of a viscous fluid this decay law for Λ is equivalent to the one with Λ = 3αH2 (α = const) provided α = β/3(β−2). The inflationary solution obtained from this model is that of the de Sitter type.
Issue 1 (7 January 2003)
Received 19 July 2002
Published 12 December 2002
Arbab I Arbab 2003 Class. Quantum Grav. 20 93
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