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

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