Generalized Holographic and Ricci Dark Energy: Cosmological Diagnostics and Scalar Field Realizations
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917047342989312 |
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| author | Pasqua, Antonio |
| author_facet | Pasqua, Antonio |
| contents | In this work, we present two generalized formulations of the Holographic and Ricci Dark Energy (DE) models, given by $ ρ_{GH} = 3c^2M^{2}_{pl} \left[ 1-ε\left(1-\frac{R}{H^2}\right) \right]H^2$ and $ρ_{GR} = 3c^2M^{2}_{pl}\left[ 1-η\left(1-\frac{H^2}{R}\right) \right]R$ where $H$ and $R$ denote the Hubble parameter and the Ricci scalar, while $ε$ and $η$ are model parameters related by $ε= 1 - η$. We derived explicit analytical expressions for key cosmological quantities, including the Hubble parameter, the DE density $ρ_D$, the DE pressure $p_D$, the equation of state parameter of DE $ω_D$ and the deceleration parameter $q$. The analysis was carried out for four distinct cases: (i) the standard model in its original formulation; (ii) the inclusion of spatial curvature; (iii) the addition of interactions between the dark sectors; and (iv) the presence of both interaction and curvature. Moreover, we also considered the limiting case of a DE Dominated Universe.
To further characterize the dynamical features of the models, we investigated several diagnostic tools, namely the statefinder parameters, the $Om(z)$ diagnostic, the squared speed of the sound $v_s^2$, the cosmographic parameters and the age of the present Universe. Moreover, we established a correspondence between the DE models we studied and some scalar field theories, including tachyon, k-essence, dilaton, quintessence, Dirac-Born-Infeld, Yang-Mills and Nonlinear Electrodynamics (NLED) fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19386 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized Holographic and Ricci Dark Energy: Cosmological Diagnostics and Scalar Field Realizations Pasqua, Antonio General Relativity and Quantum Cosmology In this work, we present two generalized formulations of the Holographic and Ricci Dark Energy (DE) models, given by $ ρ_{GH} = 3c^2M^{2}_{pl} \left[ 1-ε\left(1-\frac{R}{H^2}\right) \right]H^2$ and $ρ_{GR} = 3c^2M^{2}_{pl}\left[ 1-η\left(1-\frac{H^2}{R}\right) \right]R$ where $H$ and $R$ denote the Hubble parameter and the Ricci scalar, while $ε$ and $η$ are model parameters related by $ε= 1 - η$. We derived explicit analytical expressions for key cosmological quantities, including the Hubble parameter, the DE density $ρ_D$, the DE pressure $p_D$, the equation of state parameter of DE $ω_D$ and the deceleration parameter $q$. The analysis was carried out for four distinct cases: (i) the standard model in its original formulation; (ii) the inclusion of spatial curvature; (iii) the addition of interactions between the dark sectors; and (iv) the presence of both interaction and curvature. Moreover, we also considered the limiting case of a DE Dominated Universe. To further characterize the dynamical features of the models, we investigated several diagnostic tools, namely the statefinder parameters, the $Om(z)$ diagnostic, the squared speed of the sound $v_s^2$, the cosmographic parameters and the age of the present Universe. Moreover, we established a correspondence between the DE models we studied and some scalar field theories, including tachyon, k-essence, dilaton, quintessence, Dirac-Born-Infeld, Yang-Mills and Nonlinear Electrodynamics (NLED) fields. |
| title | Generalized Holographic and Ricci Dark Energy: Cosmological Diagnostics and Scalar Field Realizations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.19386 |