Cosmological Tensions with Non-Extensive Entropic Cosmology: A Modified Stress-Energy Approach

Abstract

We perform a comprehensive cosmographic analysis of Friedmann cosmologies modified by non-extensive entropy frameworks, focusing on Tsallis, Rényi, and Kaniadakis entropies within a novel modified energy-momentum tensor approach. In our approach the microscopic matter density remains $\rho =mn$ while the horizon thermodynamics of non-extensive entropy modifies the effective source that drives expansion, ${\rho }_{eff}=f(\rho )\rho$ which reduces to the standard case for $f(\rho )=1$. By deriving the generalized Friedmann equations for each entropy type, we calculate analytical expressions for key cosmographic parameters, including the deceleration ($q_0$), jerk ($j_0$), snap ($s_0$), and lerk ($l_0$) parameters, and examine their behavior compared to the standard $\Lambda$CDM model. Our results reveal significant differences between the traditional formal approach and the modified energy-momentum approach, particularly in the Tsallis model where cosmographic parameters and the dimensionless Hubble function $E(z)$ show notable deviations for deformation parameters away from unity. Moreover, both Rényi and Kaniadakis models exhibit increasing tension with $\Lambda$CDM at higher redshifts, while remaining similar at low redshifts. Importantly, given the persistent $\sim 5\sigma$ Hubble tension between local and global measurements, our analysis indicates that the flexibility of the modified entropic cosmology framework to alter the expansion rate could potentially alleviate this discrepancy by modifying the effective expansion history in a way compatible with observations. Future work will involve full Bayesian analyses with Pantheon+, DESI, and Planck data to further assess the viability of these models in resolving current cosmological tensions.

25 pages, 7 figures, EPJC accepted

References in corpus (26)

• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• The Hubble series: Convergence properties and redshift variables
• Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints
• Generalized entropies and corresponding holographic dark energy models
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• The generalized second law of thermodynamics in Horava-Lifshitz cosmology
• Thermodynamical First Laws of Black Holes in Quadratically-Extended Gravities
• Cosmography approach to dark energy cosmologies: new constrains using the Hubble diagrams of supernovae, quasars and gamma-ray bursts
• A new look at the $P_{cs}$ states from a molecular perspective
• New entropies, black holes, and holographic dark energy
• Holographic realization from inflation to reheating in generalized entropic cosmology
• Slow-roll inflation and growth of perturbations in Kaniadakis modification of Friedmann cosmology
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Constraining Barrow entropy-based Cosmology with power-law inflation
• Can high-redshift Hubble diagrams rule out the standard model of cosmology in the context of cosmographic method?
• Thermodynamics of the FLRW apparent horizon
• Growth Rate and Configurational Entropy in Tsallis Holographic Dark Energy
• Inflation Based on the Tsallis Entropy
• Note on agegraphic dark energy inspired by modified Barrow entropy
• Einstein-Maxwell fields as solutions of higher-order theories
• Constraints on extended Bekenstein models from cosmological, astrophysical, and local data
• Exploring Modifications to FLRW Cosmology with General Entropy and Thermodynamics: A new Approach
• Little Rip and Pseudo Rip cosmological models with coupled dark energy based on a new generalized entropy