Extended Entropic Dark Energy with Four Free Parameters: Theory, Dynamics, and Constraints
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912719518564352 |
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| author | Momeni, Davood |
| author_facet | Momeni, Davood |
| contents | We investigate a four-parameter entropic dark energy model in a spatially curved FLRW universe, based on a generalized entropy-area relation at the apparent horizon. While the proposed entropy function captures a broad class of gravitational entropy corrections, including Bekenstein-Hawking, Tsallis, and power-law forms, it does not encompass information-theoretic entropies such as Sharma-Mittal or Renyi. Within this framework, we derive exact analytical expressions for key cosmological observables, including the Hubble parameter $H(z)$, the dark energy density parameter $Ω_D(z)$, and the equation of state $w_D(z)$. A comprehensive parameter-space analysis reveals viable regions, particularly for $β> 1$ and small positive curvature, that accommodate elevated $H_0$ values consistent with recent SH0ES measurements. Our results offer a simple and analytically tractable alternative to conventional dynamical dark energy models, with potential relevance to the ongoing Hubble tension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15747 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extended Entropic Dark Energy with Four Free Parameters: Theory, Dynamics, and Constraints Momeni, Davood General Relativity and Quantum Cosmology We investigate a four-parameter entropic dark energy model in a spatially curved FLRW universe, based on a generalized entropy-area relation at the apparent horizon. While the proposed entropy function captures a broad class of gravitational entropy corrections, including Bekenstein-Hawking, Tsallis, and power-law forms, it does not encompass information-theoretic entropies such as Sharma-Mittal or Renyi. Within this framework, we derive exact analytical expressions for key cosmological observables, including the Hubble parameter $H(z)$, the dark energy density parameter $Ω_D(z)$, and the equation of state $w_D(z)$. A comprehensive parameter-space analysis reveals viable regions, particularly for $β> 1$ and small positive curvature, that accommodate elevated $H_0$ values consistent with recent SH0ES measurements. Our results offer a simple and analytically tractable alternative to conventional dynamical dark energy models, with potential relevance to the ongoing Hubble tension. |
| title | Extended Entropic Dark Energy with Four Free Parameters: Theory, Dynamics, and Constraints |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.15747 |