Impact of the Infrared Cutoff on Structure Formation in Tsallis Holographic Dark Energy

Abstract

We investigate the viability of Tsallis holographic dark energy (THDE) models, focusing on the role of the infrared (IR) cutoff in the growth of cosmic structures. Considering two commonly used choices of the cutoff, the particle horizon and the future event horizon, we analyze the evolution of linear matter perturbations and compute the growth factor, growth rate, and the observable $f{\sigma }_8(z)$. These predictions are compared with observational data from redshift-space distortion measurements. We find that the growth history is highly sensitive to the choice of IR cutoff. Models based on the future event horizon are consistent with observational data and can provide a fit comparable to, or slightly better than, the $\Lambda$CDM model for suitable values of the Tsallis parameter $\delta$. In contrast, models constructed using the particle horizon generally fail to reproduce the observed growth of structure. These results demonstrate that the viability of THDE models depends crucially on the choice of IR cutoff and highlight the importance of structure formation as a stringent test of generalized holographic dark energy scenarios.

12 pages, 4 figures. Comments, especially pointing out missing citations, are welcome. Version 2 published in Physical Review D

References in corpus (35)

• Bayes in the sky: Bayesian inference and model selection in cosmology
• DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations
• DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Infrared cut-off proposal for the Holographic density
• Seven hints that early-time new physics alone is not sufficient to solve the Hubble tension
• New infrared cut-off for the holographic scalar fields models of dark energy
• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Interacting holographic dark energy model in non-flat universe
• Barrow holographic dark energy
• Constraints on Holographic Dark Energy from Latest Supernovae, Galaxy Clustering, and Cosmic Microwave Background Anisotropy Observations
• Big Bang Nucleosynthesis constraints on Barrow entropy
• Kaniadakis holographic dark energy and cosmology
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Modified cosmology through spacetime thermodynamics and Barrow horizon entropy
• Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints
• Barrow holographic dark energy with Hubble horizon as IR cutoff
• Geometrical observational bounds on a fractal horizon holographic dark energy
• Barrow holographic dark energy with Granda-Oliveros cut-off
• Growth of Perturbations in Tsallis and Barrow Cosmology
• Dark radiation and dark matter coupled to holographic Ricci dark energy
• Observational constraints of the modified cosmology through Barrow entropy
• Modified holographic Ricci dark energy coupled to interacting dark matter and a non interacting baryonic component
• Holographic dark energy from the laws of thermodynamics with Rényi entropy
• Observational constraints on Tsallis modified gravity
• Tsallis holographic dark energy for inflation
• Tsallis Holographic Dark Energy Reconsidered
• Barrow Holographic Dark Energy Model with GO Cut-off -- An Alternative Perspective
• Constraints to Holographic Dark Energy Model via Type Ia Supernovae, Baryon Acoustic Oscillation and WMAP
• Holographic dark energy in Barrow cosmology with Granda-Oliveros IR cutoff
• Interacting Barrow Holographic Dark Energy in Non-flat Universe
• A study of holographic dark energy models using configuration entropy
• Barrow holographic dark energy interacting model in the presence of radiation and matter
• Entropy Bounds and Holographic Dark Energy: Conflicts and Consensus
• Inconsistencies of Tsallis Cosmology within Horizon Thermodynamics and Holographic Scenarios