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arXiv · 1204.0925

Variable $G$ Correction for Dark Energy Model in Higher Dimensional Cosmology

Shuvendu Chakraborty·Ujjal Debnath·Mubasher Jamil
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Abstract

In this work, we have considered $N (=4+d)$-dimensional Einstein field equations in which 4-dimensional space-time which is described by a FRW metric and that of the extra $d$-dimensions by an Euclidean metric. We have calculated the corrections to statefinder parameters due to variable gravitational constant $G$ in higher dimensional Cosmology. We have considered two special cases whether dark energy and dark matter interact or not. In a universe where gravitational constant is dynamic, the variable $G$-correction to statefinder parameters is inevitable. The statefinder parameters are also obtained for generalized Chaplygin gas in the effect of the variation of $G$ correction.

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Shuvendu Chakraborty, Ujjal Debnath, Mubasher Jamil. 2012-04-04. Variable $G$ Correction for Dark Energy Model in Higher Dimensional Cosmology. https://doi.org/10.1139/p2012-027

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