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Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

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arxiv 1009.3833 v2 pith:236QL3FZ submitted 2010-09-17 physics.gen-ph astro-ph.COgr-qc

classification physics.gen-phastro-ph.COgr-qc
keywords alphaapparentdarkhorizonmodifiedpower-lawcorrectedenergy
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abstract

We derive the modified Friedmann equation corresponding to the power-law corrected entropy-area relation $S_{\rm A}=\frac{A}{4}[1-K_{\alpha} A^{1-\frac{\alpha}{2}}]$ which is motivated by the entanglement of quantum fields in and out of the apparent horizon. We consider a non-flat modified FRW universe containing an interacting viscous dark energy with dark matter and radiation. For the selected model, we study the effect of the power-law correction term to the entropy on the dynamics of dark energy. Furthermore, we investigate the validity of the generalized second law (GSL) of gravitational thermodynamics on the apparent horizon and conclude that the GSL is satisfied for $\alpha<2$.

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  1. Power-Law and Logarithmic Entropy-Corrected Ricci Dark Energy in a Non-Flat FRW Universe with Viscous Interaction

    gr-qc 2025-08 reject novelty 4.0 of 10

    Analytic expressions are derived, with algebra errors, for two entropy-corrected Ricci dark energy models and their formal correspondence to Chaplygin gas, Yang-Mills, and NLED scalar field models.

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