Accelerated cosmos in a non-extensive setup

Abstract

Here, we consider a flat FRW universe whose its horizon entropy meets the Rényi entropy of non-extensive systems. In our model, the ordinary energy-momentum conservation law is not always valid. By applying the Clausius relation as well as the Cai-Kim temperature to the apparent horizon of a flat FRW universe, we obtain modified Friedmann equations. Fitting the model to the observational data on current accelerated universe, some values for the model parameters are also addressed. Our study shows that the current accelerating phase of universe expansion may be described by a geometrical fluid, originated from the non-extensive aspects of geometry, which models a varying dark energy source interacting with matter field in the Rastall way. Moreover, our results indicate that the probable non-extensive features of spacetime may also be used to model a varying dark energy source which does not interact with matter field, and is compatible with the current accelerated phase of universe.

Accepted by Phys. Rev. D

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• Impact of Rastall gravity on mass, radius and sound speed of the pulsar PSR J0740+6620
• Cosmological Consequences of New Dark Energy Models in Einstein-Aether Gravity
• Modified cosmology from quantum deformed entropy
• Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
• Quadratic Rastall Gravity: from low-mass HESS J1731-347 to high-mass PSR J0952-0607 pulsars
• R\' enyi Holographic Dark Energy in Higher Dimension Cosmology
• Non-Singular Collapse Scenario From Matter-Curvature Coupling
• Non-minimal coupling inspires the Dirac cosmological model