Diagnosing holographic type dark energy models with the Statefinder hierarchy, composite null diagnostic and w-w′ pair

Zhao, Ze; Wang, Shuang

doi:10.1007/s11433-017-9111-4

Cited by 20 publications

(3 citation statements)

References 89 publications

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“…Statefinder hierarchy [72][73][74] is an effective diagnosis of geometry. It is appropriated to discriminate, various DE models from the ΛCDM model by utilizes the higher order derivative of the scale factor.…”

Section: Statefinder Hierarchymentioning

confidence: 99%

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Statefinder hierarchy model for the Barrow holographic dark energy

Bhardwaj,

Dixit,

Pradhan

2021

Preprint

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In this paper, we have used the state finder hierarchy for Barrow holographic dark energy (BHDE) model in the system of the FLRW Universe. We apply two DE diagnostic tools to determine ΛBHDE model to have various estimations of △. The first diagnostic tool is the state finder hierarchy in which we have studied S(2) 4 and second is the composite null diagnostic (CND) in which the trajectories ( S4 − ǫ) are discussed, where ǫ is fractional growth parameter. The infrared cutoff here is taken from the Hubble horizon. Finally, together with the growth rate of matter perturbation, we plot the state finder hierarchy that determines a composite null diagnosis that can differentiate emerging dark energy from ΛCDM . In addition, the combination of the hierarchy of the state finder and the fractional growth parameter has been shown to be a useful tool for diagnosing BHDE, particularly for breaking the degeneracy with different parameter values of the model.

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Section: Statefinder Hierarchymentioning

confidence: 99%

“…This equation can be numerically solved for the condition f (z = 0) = 1 for the ΛCDM and the BHDE model. Depending on f (z), other null diagnostic, known as fractional growth parameter ǫ, is discussed in [56,73].…”

Section: Growth Rate Of Perturbationsmentioning

confidence: 99%

Statefinder hierarchy model for the Barrow holographic dark energy

Bhardwaj,

Dixit,

Pradhan

2021

Preprint

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“…In this paper, we will focus on the background evolution of interacting dark energy model. In addition, we also have explored the deviation of the interaction dark energy model from ΛCDM and the behavior of evolution trajectory when the interaction dark energy model takes different parameter values through the State f inder hierarchy [56,[66][67][68][69][70][71][72][73][74] and Om [75][76][77] diagnostic. The state f inder hierarchy is a sensitive diagnostic of DE, which uses the higher-order derivatives of a(t) and can break the degeneracy of the model very well.…”

Section: Introductionmentioning

confidence: 99%

Model Independent Diagnostics in Interacting Dark Energy Models

et al. 2020

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In this paper, we have explored non-gravitational interaction dark energy model between dark energy and cold dark matter (CDM). The main purpose of this work is to explore the deviations from Λ C D M and to distinguish the evolution trajectory of the interaction dark energy model with different parameters. Six forms of interaction were focused on. We have analyzed the deceleration parameters of the coupled model and explored the theoretical models through s t a t e f i n d e r h i e r a r c h y and the O m diagnostic. We have considered that the Equation of State (EoS) parameter w and parameter ξ take different values on the interaction dark energy model respectively and keep another parameter unchanged. It was found that q ( z ) is the worst of the four diagnoses. O m , S 3 ( 1 ) and S 4 ( 1 ) are good tools to distinguish the interaction dark energy model from Λ C D M . S 3 ( 1 ) is a better diagnostic tool when the state parameter w changes and the coupling parameter ξ is fixed, while S 4 ( 1 ) works better when the coupling parameter ξ changes and the state parameter w is fixed.

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