Entropic corrections to Friedmann equations in the extra dimensional FRW universe

Abstract

In this work, the quantum gravitational effects on the dynamical equations of universe have been investigated by utilizing the generalized uncertainty principle (GUP) and modified dispersion relation (MDR). At first, the corrected entropy-area relation has been obtained by considering the impacts of GUP and MDR, separately. Next, making use of the corrected entropy relations, arisen from GUP and MDR approaches, the entropic corrected Friedmann equations have been obtained in the extra dimensional FRW universe. The corrections are worked out up to the sixth order of the Planck length. Finally, it has been shown that these two alternative approaches lead to the same corrections if the expansion coefficients satisfy some simple conditions.