Top ten accelerating cosmological models

Szydłowski, Marek; Kurek, Aleksandra; Krawiec, Adam

doi:10.1016/j.physletb.2006.09.052

Cited by 108 publications

(96 citation statements)

References 41 publications

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“…So far there have been many works on the comparison of various dark energy models [423,562,578,592,697,698,699,700]. We will briefly review the topic of model comparison in this subsection.…”

Section: Comparison Of Dark Energy Modelsmentioning

confidence: 99%

Dark Energy

Li¹,

Li²,

Wang³

et al. 2011

Commun. Theor. Phys.

770

560

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Section: Comparison Of Dark Energy Modelsmentioning

confidence: 99%

Dark Energy

Li¹,

Li²,

Wang³

et al. 2011

Commun. Theor. Phys.

770

560

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“…The evidence against the model j is not worth than bare mentioning when twice the natural logarithm of the Bayes factor (or minus the difference between BICs) is 0 < 2 ln B i j ≤ 2, is positive when 2 < 2 ln B i j ≤ 6, is strong when 6 < 2 ln B i j ≤ 10, and is very strong when 2 ln B i j > 10. It should be pointed out that the model selection methods presented are widely used in the context of cosmological model comparisons [18,19,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. We should keep in mind that the conclusions based on such quantities depend on the data at hand.…”

Section: Introductionmentioning

confidence: 99%

AIC, BIC, Bayesian evidence against the interacting dark energy model

et al. 2015

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Recent astronomical observations have indicated that the Universe is in a phase of accelerated expansion. While there are many cosmological models which try to explain this phenomenon, we focus on the interacting CDM model where an interaction between the dark energy and dark matter sectors takes place. This model is compared to its simpler alternative-the CDM model. To choose between these models the likelihood ratio test was applied as well as the model comparison methods (employing Occam's principle): the Akaike information criterion (AIC), the Bayesian information criterion (BIC) and the Bayesian evidence. Using the current astronomical data: type Ia supernova (Union2.1), h(z), baryon acoustic oscillation, the AlcockPaczynski test, and the cosmic microwave background data, we evaluated both models. The analyses based on the AIC indicated that there is less support for the interacting CDM model when compared to the CDM model, while those based on the BIC indicated that there is strong evidence against it in favor of the CDM model. Given the weak or almost non-existing support for the interacting CDM model and bearing in mind Occam's razor we are inclined to reject this model.

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“…V. They are the so-called AIC [65][66][67][68] and BIC [69] selection criteria. The first one has reached a widely accepted consensus, becoming a common diagnostic tool [70][71][72][73].…”

Section: A Selection Criteriamentioning

confidence: 99%

“…The first one has reached a widely accepted consensus, becoming a common diagnostic tool [70][71][72][73]. It has been largely used for regression models [74], since its first applications [65][66][67][68]. The basic demands of AIC and BIC consist in postulating two statistical distributions, i.e.…”

Section: A Selection Criteriamentioning

confidence: 99%

Modeling Dark Energy Through an Ising Fluid With Network Interactions

Luongo

Tommasini

2014

Int. J. Mod. Phys. D

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We show that the dark energy effects can be modeled by using an Ising perfect fluid with network interactions, whose low redshift equation of state, i.e. ω0, becomes ω0 = −1 as in the ΛCDM model. In our picture, dark energy is characterized by a barotropic fluid on a lattice in the equilibrium configuration. Thus, mimicking the spin interaction by replacing the spin variable with an occupational number, the pressure naturally becomes negative. We find that the corresponding equation of state mimics the effects of a variable dark energy term, whose limiting case reduces to the cosmological constant Λ. This permits us to avoid the introduction of a vacuum energy as dark energy source by hand, alleviating the coincidence and fine tuning problems. We find fairly good cosmological constraints, by performing three tests with supernovae Ia, baryonic acoustic oscillation and cosmic microwave background measurements. Finally, we perform the AIC and BIC selection criteria, showing that our model is statistically favored with respect to the CPL parametrization.PACS numbers: 98.80.Jk, 98.80.Es

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Top ten accelerating cosmological models

Cited by 108 publications

References 41 publications

Dark Energy

Dark Energy

AIC, BIC, Bayesian evidence against the interacting dark energy model

Modeling Dark Energy Through an Ising Fluid With Network Interactions

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