Corrections to Friedmann equations inspired by Kaniadakis entropy

Sheykhi, Ahmad

doi:10.48550/arxiv.2302.13012

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Generalised Second Law1

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2023

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“…From eqs. ( 37)- (42), one can easily derive the second Friedmann equation, i.e., the acceleration equation,…”

Section: Generalised Second Lawmentioning

confidence: 99%

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Modified Friedmann equations from fractional entropy

Çoker,

Ökcü,

Aydiner

2023

EPL

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Based on the fractional black hole entropy \cite{Jalalzadeh2021}, we derive the modified Friedmann equations from two different frameworks. First, we consider the modifications of Friedmann equations from the first law of thermodynamics at the apparent horizon. We show that the generalized second law (GSL) of thermodynamics always holds in a region bounded by the apparent horizon. Then, we obtain Friedmann equations from Verlinde's entropic gravity framework. We also compute the fractional corrections to deceleration parameter $q$ in flat case $k=0$ for both frameworks. Furthermore, we consider the time to reach the initial singularity for the two frameworks. The results indicate that {\color{blue} the initial singularity is accessible for both frameworks. However, fractional effects may provide a constraint on the equation of state parameter in the entropic gravity scenario since the time is imaginary for $-2/3\alpha<\omega<-1/3$.

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“…From eqs. ( 37)- (42), one can easily derive the second Friedmann equation, i.e., the acceleration equation,…”

Section: Generalised Second Lawmentioning

confidence: 99%

“…Motivated by various approaches, loop quantum gravity [18,19], generalised uncertainty principle [20][21][22], rainbow gravity [58,59] corrected Friedmann equations were derived. Moreover, Tsallis [27][28][29], [40][41][42] and Kaniadakis [43,44,60] entropies modified Friedmann equations can be found in the literature.…”

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confidence: 99%