Dark Energy Phenomenology in a $f(R,Σ,T)$ Gravity Framework: $O_m(z)$ Parameterization Approach
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915996698148864 |
|---|---|
| author | Myrzakulov, N. Pradhan, Anirudh Yadav, Anil Kumar Shekh, S. H. |
| author_facet | Myrzakulov, N. Pradhan, Anirudh Yadav, Anil Kumar Shekh, S. H. |
| contents | This study investigates the cosmological implications of $f(R,Σ,T)$ gravity by reconstructing the Hubble parameter from a logarithmic parameterization of the $O_m(z)$ diagnostic. Our approach offers a model-independent way to probe the nature of dark energy and differentiate it from a cosmological constant. We derive the field equations for $f(R,Σ,T) = R + Σ+ 2πηT$ within the homogeneous, isotropic, and spatially flat Friedmann-Robertson-Walker (FRW) metric. A comprehensive analysis of key physical parameters, including the equation of state (EoS) parameter $ω(z)$, the $(ω-ω')$-plane, the squared sound speed $\vartheta^2$, and various energy conditions (Null, Dominant, Strong), is presented. Our findings reveal a dynamic EoS parameter that consistently remains within the quintessence regime ($-1 < ω< -1/3$), approaching $ω= -1$ in the far future, thereby avoiding phantom behavior and maintaining the weak energy condition. The model successfully reproduces the cosmic transition from deceleration to acceleration, as indicated by the deceleration parameter $q(z)$ crossing zero. While the model aligns well with observational data for cosmic expansion, the analysis of $\vartheta^2$ indicates classical instability, a point requiring further theoretical refinement. Overall, this work demonstrates the viability of $f(R,Σ,T)$ gravity as a framework capable of describing the universe's accelerated expansion, consistent with current cosmological observations, while offering a dynamic alternative to the $Λ$CDM model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13446 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dark Energy Phenomenology in a $f(R,Σ,T)$ Gravity Framework: $O_m(z)$ Parameterization Approach Myrzakulov, N. Pradhan, Anirudh Yadav, Anil Kumar Shekh, S. H. General Relativity and Quantum Cosmology This study investigates the cosmological implications of $f(R,Σ,T)$ gravity by reconstructing the Hubble parameter from a logarithmic parameterization of the $O_m(z)$ diagnostic. Our approach offers a model-independent way to probe the nature of dark energy and differentiate it from a cosmological constant. We derive the field equations for $f(R,Σ,T) = R + Σ+ 2πηT$ within the homogeneous, isotropic, and spatially flat Friedmann-Robertson-Walker (FRW) metric. A comprehensive analysis of key physical parameters, including the equation of state (EoS) parameter $ω(z)$, the $(ω-ω')$-plane, the squared sound speed $\vartheta^2$, and various energy conditions (Null, Dominant, Strong), is presented. Our findings reveal a dynamic EoS parameter that consistently remains within the quintessence regime ($-1 < ω< -1/3$), approaching $ω= -1$ in the far future, thereby avoiding phantom behavior and maintaining the weak energy condition. The model successfully reproduces the cosmic transition from deceleration to acceleration, as indicated by the deceleration parameter $q(z)$ crossing zero. While the model aligns well with observational data for cosmic expansion, the analysis of $\vartheta^2$ indicates classical instability, a point requiring further theoretical refinement. Overall, this work demonstrates the viability of $f(R,Σ,T)$ gravity as a framework capable of describing the universe's accelerated expansion, consistent with current cosmological observations, while offering a dynamic alternative to the $Λ$CDM model. |
| title | Dark Energy Phenomenology in a $f(R,Σ,T)$ Gravity Framework: $O_m(z)$ Parameterization Approach |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.13446 |