Corrections to Friedmann equations inspired by Kaniadakis entropy

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.

arXiv comment6 pages. Accepted for publication in Phys. Lett. B

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• Big-Bang nucleosynthesis constraints on (dual) Kaniadakis cosmology
• Holographic thermodynamic relation for dissipative and non-dissipative universes in a flat FLRW cosmology
• Constraints on Rényi Entropy through Primordial Big-Bang Nucleosynthesis and Baryogenesis
• Revealing some cosmological aspects of Kaniadakis entropy
• Cosmological scenario based on the first and second laws of thermodynamics: Thermodynamic constraints on a generalized cosmological model
• Holographic dark energy in modified Kaniadakis cosmology
• From MOND entropy to extended uncertainty principles: A unified framework