8 February 2024
General Relativity and Quantum Cosmology
Alexander V. Timoshkin
Tsallis entropy extends holographic models, enabling new cosmological scenarios
Phantom divide crossing dynamics differ markedly across non-viscous, viscous, and Chaplygin cases
Instability issues persist in non-viscous and viscous configurations
Chaplygin gas model maintains stability, linking entropy to cosmic acceleration
Tsallis entropy links holographic dark energy to cosmic acceleration
This paper explores how Tsallis entropy, a generalization of standard entropy, can be applied in holographic dark energy models of cosmic acceleration. Using an ansatz-based approach, non-viscous, viscous, and Chaplygin gas scenarios are analyzed. Key properties relating to the phantom divide crossing and stability are studied. While viscosity and non-viscosity models exhibit instability, Chaplygin gas configurations demonstrate better stability, illuminating crucial connections between Tsallis entropy and cosmic expansion.
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