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Two-point diagnostics $Om(z_i,z_j)$ and $Omh^2(z_i,z_j)$ have been introduced as an interesting tool for testing the validity of the $\Lambda$CDM model. Quite recently, Sahni, Shafieloo $\&$ Starobinsky (2014) combined two independent…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-08 Xiaogang Zheng , Xuheng Ding , Marek Biesiada , Shuo Cao , Zonghong Zhu

In this paper, we propose a new pressure parametric model of the total cosmos energy components in a spatially flat Friedmann-Robertson-Walker (FRW) universe and then reconstruct the model into quintessence and phantom scenarios,…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-14 Jun-Chao Wang , Xin-He Meng

We employ the Statefinder hierarchy and the growth rate of matter perturbations to explore the discrimination of $\Lambda$CDM and some parametrization dark energy models including the Chevallier-Polarski-Linder (CPL), the…

General Relativity and Quantum Cosmology · Physics 2015-10-12 Jing-Zhao Qi , Wen-Biao Liu

We describe the cosmological evolution predicted by three distinct $f(R)$ theories, with emphasis on the evolution of linear perturbations. The most promising observational tools for distinguishing $f(R)$ theories from $\Lambda$CDM are…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-27 Nelson A. Lima , Andrew R. Liddle

In this paper, we use Statefinder hierarchy method to distinguish between bimetric theory of massive gravity, galileon modified gravity and DGP models applied to late time expansion of the universe. We also carry out comparison between…

General Relativity and Quantum Cosmology · Physics 2013-10-28 R. Myrzakulov , M. Shahalam

In this paper, we constrain four time-dependent dark energy (TDDE) models by using the Type Ia supernovae (SNe Ia), baryonic acoustic oscillations (BAO), observational Hubble parameter (OHD) data-sets as well as the single data point from…

General Relativity and Quantum Cosmology · Physics 2016-03-03 Deng Wang , Xin-He Meng

We investigate deviations from $\Lambda$CDM by independently parameterizing modifications in the background evolution and the growth of structures. The background is characterized by two parameters, $A$ and $B$, which reduce to…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Shibendu Gupta Choudhury , Purba Mukherjee , Anjan Ananda Sen

We investigate the interacting dark energy models by using the diagnostics of statefinder hierarchy and growth rate of structure. We wish to explore the deviations from $\Lambda$CDM and to differentiate possible degeneracies in the…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-10 Jing-Lei Cui , Lu Yin , Ling-Feng Wang , Yun-He Li , Xin Zhang

Combining measurements on the expansion history of the Universe and on the growth rate of cosmic structures is key to discriminate between alternative cosmological frameworks and to test gravity. Recently, Linder (2017) proposed a new…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-16 Michele Moresco , Federico Marulli

We apply the Statefinder diagnostic to the Modified Polytropic Cardassian Universe in this work. We find that the Statefinder diagnostic is quite effective to distinguish Cardassian models from a series of other cosmological models. The…

Astrophysics · Physics 2008-11-26 Ze-Long Yi , Tong-Jie Zhang

The observational success and simplicity of the $\Lambda$CDM model, and the explicit analytic perturbations thereof, set the standard for any alternative cosmology. It therefore serves as a comparison ground and as a test case for methods…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Artur Alho , Claes Uggla , John Wainwright

The $\Lambda$CDM cosmolgical model has long been regarded as highly successful in accurately describing a wide range of astronomical observations. However, numerous observational findings have also provided hints of discrepancies from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-01 Yupeng Yang

The main purpose of this work is to distinguish various holographic type dark energy (DE) models, including the $\Lambda$HDE, HDE, NADE and RDE model, by using various diagnostic tools. The first diagnostic tool is the Statefinder…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-03 Ze Zhao , Shuang Wang

Among various phenomenological $\Lambda$ models, a time-dependent model $\dot \Lambda\sim H^3$ is selected here to investigate the $\Lambda$-CDM cosmology. Using this model the expressions for the time-dependent equation of state parameter…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Saibal Ray , Maxim Khlopov , Utpal Mukhopadhyay , Partha Pratim Ghosh

Using various latest cosmological datasets including Type-Ia supernovae, cosmic microwave background radiation, baryon acoustic oscillations, and estimations of the Hubble parameter, we test some dark energy models with parameterized…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-28 Jing Yang , Xin-Yan Fan , Chao-Jun Feng , Xiang-Hua Zhai

We look at observational constraints on the thawing class of scalar field models proposed to explain the late time acceleration of the universe. Using the recently introduced `Statefinder Hierarchy', we compare these thawing class of models…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Gaveshna Gupta , Subhabrata Majumdar , Anjan A Sen

We investigate a two-parameter extension of the $\Lambda_{\rm s}$CDM model by allowing variations in the effective number of neutrino species $N_{\rm eff}$ and their total mass $\sum m_\nu$. Our motivation is twofold: (i) to examine whether…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-14 Anita Yadav , Suresh Kumar , Cihad Kibris , Ozgur Akarsu

Recently, a new dark energy model called $\Lambda$HDE was proposed. In this model, dark energy consists of two parts: cosmological constant $\Lambda$ and holographic dark energy (HDE). Two key parameters of this model are the fractional…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-14 Lanjun Zhou , Shuang Wang

The evolution of the configuration entropy of the mass distribution in the Universe is known to be governed by the growth rate of density perturbations and the expansion rate of the Universe. We consider the $\Lambda$CDM model and a set of…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Biswajit Das , Biswajit Pandey

We carry out a comparative analysis of the standard $\Lambda$CDM cosmological model and the alternative $R_h=ct$ framework using recent observational data from cosmic chronometers (CC), Type Ia supernova, and baryon acoustic oscillations.…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-26 Amritansh Mehrotra , S. K. J. Pacif , A. F. Santos
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