A Higher-Derivative Hubble Parameter Dark Energy Model: Cosmological Analysis and Scalar Field Correspondence
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866917031566114816 |
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| author | Pasqua, Antonio |
| author_facet | Pasqua, Antonio |
| contents | In this work, we study a Dark Energy (DE) energy density model which depends on the Hubble parameter squared $H^2$ and on its first, second and third time derivatives $\dot{H}$, $\ddot{H}$ and $\dddot{H}$. Considering a scale factor $a$ with a power-law dependence on the time (with $n$ indicating the power-law index), we obtain some important cosmological quantities as function of the , like the energy densities of Matter $ρ_m$ and of DE $ρ_D$, the fractional energy densities of DM $Ω_m$ and of DE $Ω_D$, the Hubble parameter squared $H^2$, the deceleration parameter $q$, the evolutionary form of the fractional energy density of DE $Ω'_D$, the pressure of DE $p_D$ and the Equation of State (EoS) parameter of DE $ω_D$, for both non interacting and interacting cases. For the interacting case, we consider 9 different interacting term $Q$, all functions of the Hubble parameter $H$ and/or of $ρ_m$ and $ρ_D$. Finally, we establish a correspondence between the DE model we study and some scalar field theories, including tachyon, k-essence, quintessence, Yang-Mills (YM) and Nonlinear Electrodynamics (NLED) fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17488 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Higher-Derivative Hubble Parameter Dark Energy Model: Cosmological Analysis and Scalar Field Correspondence Pasqua, Antonio General Relativity and Quantum Cosmology In this work, we study a Dark Energy (DE) energy density model which depends on the Hubble parameter squared $H^2$ and on its first, second and third time derivatives $\dot{H}$, $\ddot{H}$ and $\dddot{H}$. Considering a scale factor $a$ with a power-law dependence on the time (with $n$ indicating the power-law index), we obtain some important cosmological quantities as function of the , like the energy densities of Matter $ρ_m$ and of DE $ρ_D$, the fractional energy densities of DM $Ω_m$ and of DE $Ω_D$, the Hubble parameter squared $H^2$, the deceleration parameter $q$, the evolutionary form of the fractional energy density of DE $Ω'_D$, the pressure of DE $p_D$ and the Equation of State (EoS) parameter of DE $ω_D$, for both non interacting and interacting cases. For the interacting case, we consider 9 different interacting term $Q$, all functions of the Hubble parameter $H$ and/or of $ρ_m$ and $ρ_D$. Finally, we establish a correspondence between the DE model we study and some scalar field theories, including tachyon, k-essence, quintessence, Yang-Mills (YM) and Nonlinear Electrodynamics (NLED) fields. |
| title | A Higher-Derivative Hubble Parameter Dark Energy Model: Cosmological Analysis and Scalar Field Correspondence |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.17488 |