Second-order approximation of Nojiri–Odintsov infrared cutoff through heuristic expansion: A refined framework for holographic dark energy dynamics with Ricci–Gauss–Bonnet form
Altaibayeva A. Assetkhan A. Chattopadhyay S.
November 2025Academic Press Inc.
Annals of Physics
2025#482
This work presents a unified treatment of Nojiri–Odintsov holographic dark energy, encompassing its Ricci–Gauss–Bonnet realization and a second-order approximation as a particular case of the generalized framework. By incorporating higher-order curvature corrections from the Gauss–Bonnet invariant and the Ricci scalar, we construct an extended HDE model and study the evolution of the equation-of-state parameter in both interacting and non-interacting scenarios. The analysis reveals possible quintessence-to-phantom transitions, with observational validation from cosmic chronometer and Planck 2018 datasets. The outcomes indicate the role of higher-curvature corrections provide a viable description of late-time cosmic acceleration. Finally, within the Ricci–Gauss–Bonnet and Nojiri–Odintsov holographic frameworks, we find that the reconstructed wtot(z) exhibits the DESI-preferred quintessence–phantom crossing, although the Hubble tension between Planck and SH0ES determinations of H0 remains unresolved.
Equation of state parameter , Holographic dark energy , Nojiri–Odintsov infrared cutoff , Ricci–Gauss–Bonnet gravity , Second-order approximation
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Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Satpayev St. 2, Astana, 010008, Kazakhstan
Department of Mathematics, Amity University, Kolkata, Major Arterial Road, Action Area II, Rajarhat, Newtown, Kolkata, 700135, India
Department of General and Theoretical Physics
Department of Mathematics
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