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arXiv · 1902.08027

Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation

Nasr Ahmed·Sultan Z. Alamri
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Abstract

In this paper, we continue investigating the possible values of the pre-factors $α$ and $β$ in the logarithmic corrected entropy-area relation based on cosmological stability arguments. In a previous study, we have investigated the stability of the entropy-corrected cosmology using an empirical hyperbolic form of the scale factor. We found that the zero values of the two pre-factors are necessary to obtain a stable flat universe with a deceleration-acceleration transition and no causality violation. The necessity of the zero values of the two pre-factors has also been reached in the current work using a hybrid scale factor Ansatz in the entropy-corrected cosmological equations. Investigating the corrected entropy-area relation in different gravitational and cosmological contexts can provide an accurate estimation to the correct values of the pre-factors. The current work opens a discussion on the validity of the correction terms in the logarithmic corrected entropy-area relation on the cosmological scale. The evolution of the cosmic pressure, energy density, equation of state parameter, jerk parameter and the nonlinear energy conditions has been analyzed.

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Nasr Ahmed, Sultan Z. Alamri. 2019-05-16. Cosmological determination to the values of the prefactors in the logarithmic corrected entropy-area relation. https://doi.org/10.1007/s10509-019-3590-4

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