2018
DOI: 10.1103/physrevd.97.083510
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Null tests of the standard model using the linear model formalism

Abstract: We test both the FLRW geometry and ΛCDM cosmology in a model independent way by reconstructing the Hubble function H(z), the comoving distance D(z) and the growth of structure f σ8(z) using the most recent data available. We use the linear model formalism in order to optimally reconstruct the above cosmological functions, together with their derivatives and integrals. We then evaluate four of the null tests available in literature that probe both background and perturbation assumptions. For all the four tests … Show more

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Cited by 36 publications
(26 citation statements)
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“…While the validity of the calibration prior depends on the standardizable nature of supernovae Ia, a process that includes corrections due to color, stretch, and host-galaxy mass, the validity of the cosmographic analysis is solely based on the approximation that the FLRW metric provides a good description of our universe at large scales. While it is possible to test directly this hypothesis [35][36][37][38], the validity of the FLRW metric is a direct consequence of assuming the cosmological principle, according to which the universe is homogeneous and isotropic at large scales. Therefore, as far as cosmological assumptions are concerned, the determination of Eq.…”
Section: Discussionmentioning
confidence: 99%
“…While the validity of the calibration prior depends on the standardizable nature of supernovae Ia, a process that includes corrections due to color, stretch, and host-galaxy mass, the validity of the cosmographic analysis is solely based on the approximation that the FLRW metric provides a good description of our universe at large scales. While it is possible to test directly this hypothesis [35][36][37][38], the validity of the FLRW metric is a direct consequence of assuming the cosmological principle, according to which the universe is homogeneous and isotropic at large scales. Therefore, as far as cosmological assumptions are concerned, the determination of Eq.…”
Section: Discussionmentioning
confidence: 99%
“…Here, we will describe how to reconstruct the cosmological functions, and also their derivatives, using the Linear Model formalism (LM); see, also, [25,39,40].…”
Section: Linear Model Formalismmentioning
confidence: 99%
“…This method has been used several times in cosmology, especially for the determination of the equation of state of dark energy w and the Hubble function H(z) (see [22][23][24][25][26]). The third method consists of a polynomial regression (used for example recently in [27]), in which one assumes a linear model for the underlying function. Using the so-called normal equation, we reconstruct the coefficients of the polynomial, which represents our continuous interpolation function of the data, which is later evaluated at specific redshifts.…”
Section: Introductionmentioning
confidence: 99%