Evolutionary Behavior of Fractional Holographic Dark Energy within $f(T)$ Teleparallel Gravity
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908842903732224 |
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| author | Meetei, Elangbam Chingkheinganba Singh, S. Surendra |
| author_facet | Meetei, Elangbam Chingkheinganba Singh, S. Surendra |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17897 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Evolutionary Behavior of Fractional Holographic Dark Energy within $f(T)$ Teleparallel Gravity Meetei, Elangbam Chingkheinganba Singh, S. Surendra General Relativity and Quantum Cosmology 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. |
| title | Evolutionary Behavior of Fractional Holographic Dark Energy within $f(T)$ Teleparallel Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.17897 |