2024•Physics Letters BOpen access

Corrections to Friedmann equations inspired by Kaniadakis entropy

Ahmad Sheykhi

Abstract

Adopting the thermodynamics-gravity conjecture, and assuming the entropy associated with the apparent horizon of the Friedmann-Robertson-Walker (FRW) universe has the form of the generalized Kaniadakis entropy, we extract the modified Friedmann equations describing the evolution of the universe using the first law of thermodynamics on the apparent horizon. We then investigate the validity of the generalized second law of thermodynamics for the universe enclosed by the apparent horizon.

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Key concepts: Friedmann–Lemaître–Robertson–Walker metric, Friedmann equations, Physics, Apparent horizon, Second law of thermodynamics, Entropy (arrow of time), First law of thermodynamics, Mathematical physics