Abstract

The possible corrections to the entropy and Friedmann equations in the 4-dimensional Friedmann-Robertson-Walker (FRW) universe have been investigated within the generalized uncertainty principle (GUP), modified dispersion relation (MDR) and loop quantum gravity (LQG) separately. The corrected entropies stem from GUP, MDR and LQG analysis have been used separately to obtain the quantum gravitational corrections to the Friedmann equations in FRW universe. The explicit form of the corrections are worked out up to the sixth power of the Planck length. Through comparison of the corrections obtained from GUP, MDR and LQG approaches it is found that the results of these alternative approaches should be identical if one uses the suitable expansion coefficients.

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