Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
M.R. Setare, Mubasher Jamil

TL;DR
This paper explores the stability and diagnostic features of a modified gravity model aligned with holographic and new-agegraphic dark energy, using statefinder parameters to classify the dark energy behavior.
Contribution
It introduces a stability analysis of the modified gravity Lagrangians consistent with holographic and new-agegraphic dark energy models and computes statefinder parameters for classification.
Findings
Stability conditions for the modified gravity Lagrangians are derived.
Statefinder parameters are calculated to classify the dark energy model.
The model's behavior aligns with observational constraints.
Abstract
Recently one of us derived the action of modified gravity consistent with the holographic and new-agegraphic dark energy. In this paper, we investigate the stability of the Lagrangians of the modified gravity as discussed in [M. R. Setare, Int. J. Mod. Phys. D 17 (2008) 2219; M. R. Setare, Astrophys. Space Sci. 326 (2010) 27]. We also calculate the statefinder parameters which classify our dark energy model.
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