Relativity and Cosmology


A Study on the Time Dependence of the Equation-of-State Parameter Using Brans-Dicke Theory of Gravitation

Authors: Sudipto Roy

The time dependence of the equation of state (EoS) parameter of the cosmic fluid, for a space of zero curvature, has been determined in the framework of the Brans-Dicke (BD) theory of gravity, using FRW metric. For this purpose, empirical expressions of the scale factor, scalar field and the dimensionless BD parameter have been used. The constant parameters involved in these expressions have been determined from the field equations. The dependence of the scalar field upon the scale factor and the dependence of the BD parameter upon the scalar field have been explored to determine the time dependence of the EoS parameter. Its rate of change with time has been found to depend upon a parameter that governs the time dependent behavior of the scalar field. Time dependence of the EoS parameter has been graphically depicted.

Comments: 7 pages, 2 figures

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Submission history

[v1] 2017-05-23 12:05:10

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