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arXiv · 2602.17897

Evolutionary Behavior of Fractional Holographic Dark Energy within $f(T)$ Teleparallel Gravity

Elangbam Chingkheinganba Meetei·S. Surendra Singh
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Abstract

We investigate the cosmological dynamics of FHDE within $f(T)$ gravity by employing the dynamical system approach in a spatially flat FRW background. By introducing appropriate dimensionless variables, the field equations are reformulated as a closed system, which allows a systematic phase-space analysis. The resulting system admits four critical points, including two saddle points corresponding to radiation and matter-dominated epochs, and two stable points associated with a DE-dominated phase and a de Sitter solution. The radiation- and matter-dominated critical points are found to possess a saddle character in phase space, ensuring their transient nature and enabling the cosmological evolution to naturally progress toward a stable late-time accelerated attractor. The stable critical points describe accelerated expansion with effective equations of state compatible with DE and de Sitter regimes. Overall, the analysis indicates that $f(T)$ gravity is capable of reproducing the standard cosmological sequence within a consistent dynamical framework.

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Elangbam Chingkheinganba Meetei, S. Surendra Singh. 2026-02-19. Evolutionary Behavior of Fractional Holographic Dark Energy within $f(T)$ Teleparallel Gravity. https://arxiv.org/abs/2602.17897

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