HIGHER DIMENSIONAL UNIVERSE IN SCALAR-TENSOR THEORY

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Published: Mar 22, 2015

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S Surendra Singh
NIT Manipur

Abstract

We consider the Kaluza-Klein type cosmological model in
scalar-tensor theory proposed by Lau and Prokhovnik. The exact solution of the field equations are obtained by using the gamma law equation of state, $p =(\gamma - 1) \rho$ in which the parameter $\gamma$ depends on scale factor $R$. The functional form of $\gamma(R)$ is used to describe a wide range of cosmological solution at early universe for two phases in cosmic history: inflationary phase and radiation dominated phase. The solutions show the power law expansion and cosmological constant is found to be positive and decreasing function of cosmic time.


The solutions are compatible with the Dirac's large number
hypothesis. The deceleration parameter has been presented in a unified manner in terms of scale factor which describes the
inflation of the model.

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How to Cite
Singh, S. S. (2015). HIGHER DIMENSIONAL UNIVERSE IN SCALAR-TENSOR THEORY. Journal of Global Research in Mathematical Archives(JGRMA), 2(6), 85–95. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/194
Issue
Vol. 2 No. 6 (2014): June-2014
Section
Research Paper

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