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A method for obtaining cosmological models consistency relations and Gaussian Processes testing

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Author(s):
Jesus, J. F. ; Escobal, A. A. ; Valentim, R. ; Pereira, S. H.
Total Authors: 4
Document type: Journal article
Source: Journal of Cosmology and Astroparticle Physics; v. N/A, n. 8, p. 16-pg., 2024-08-01.
Abstract

In the present work, we apply consistency relation tests to several cosmological models, including the flat and non-flat ACDM models, as well as the flat XCDM model. The analysis uses a non-parametric Gaussian Processes method to reconstruct various cosmological quantities of interest, such as the Hubble parameter H (z) and its derivatives from H (z) data, as well as the comoving distance and its derivatives from SNe Ia data. We construct consistency relations from these quantities which should be valid only in the context of each model and test them with the current data. We were able to find a general method of constructing such consistency relations in the context of H (z) reconstruction. In the case of comoving distance reconstruction, there were not a general method of constructing such relations and this work had to write an specific consistency relation for each model. From H (z) data, we have analyzed consistency relations for all the three above mentioned models, while for SNe Ia data we have analyzed consistency relations only for flat and non-flat ACDM models. Concerning the flat ACDM model, some inconsistency was found, at more than 2 sigma sigma c.l., with the H (z) data in the interval 1.8 less than or similar to z less than or similar to 2.4, while the other models were all consistent at this c.l. Concerning the SNe Ia data, the flat ACDM model was consistent in the 0 < z < 2.5 interval, at 1 sigma c.l., while the nonflat ACDM model was consistent in the same interval, at 2 sigma c.l. (AU)

FAPESP's process: 16/09831-0 - Neutron Stars populations: bayesian statistics tools
Grantee:Rodolfo Valentim da Costa Lima
Support Opportunities: Regular Research Grants
FAPESP's process: 21/01089-1 - Cherenkov Telescope Array: construction and first discoveries
Grantee:Luiz Vitor de Souza Filho
Support Opportunities: Special Projects