A Study of Transition of the Expansion of the Universe from a Phase of Deceleration to Acceleration through a Conversion of Matter into Dark Energy in the Framework of Brans-Dicke Theory
Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 11)Publication Date: 2015-11-05
Authors : Sudipto Roy;
Page : 885-890
Keywords : Conversion of matter into dark energy; Signature flip of deceleration parameter; Time varying Gravitational constant; Generalized Brans-Dicke theory of Gravitation; Cosmology;
Abstract
The present study is based on a generalized form of Brans-Dicke (BD) theory where, the dimensionless BD parameter is regarded as a function of the scalar field, which is reciprocal of the gravitational constant. The field equations have been solved by incorporating an empirical function f (t) in the expression representing the conservation of matter. This function f (t) has been chosen to account for a conversion of matter (both dark and baryonic) into some other form, possibly dark energy, which is known to be responsible for the accelerated expansion of universe. The requirement of a signature flip of the deceleration parameter (q), which is evident from other studies, sets the boundary conditions to be satisfied by the function f (t), leading to the formulation of its time dependence. A simple empirical relation was initially assumed to represent the time dependence of f (t), and the constants in this expression have been determined from these boundary conditions. The BD parameter has been found to have a negative value throughout the range of study. The dependence of BD parameter upon the scalar field has been depicted graphically. A smooth transition of the universe, from a decelerated to an accelerated phase of expansion, is found to occur due to a conversion of matter into dark energy. The gravitational constant is found to be increasing with time.
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