Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes - INSPIRE

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Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes

Apr 15, 2021

19 pages

Published in:

Braz.J.Phys. 52 (2022) 4, 115

Published: May 3, 2022

e-Print:

2104.07356 [astro-ph.CO]

DOI:

10.1007/s13538-022-01113-8

View in:

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Abstract: (Springer)

We study observational constraints on the cosmographic functions up to the fourth derivative of the scale factor with respect to cosmic time, i.e., the so-called snap function, using the nonparametric method of Gaussian processes. As observational data, we use the Hubble parameter data. Also we use mock data sets to estimate the future forecast and study the performance of this type of data to constrain cosmographic functions. The combination between a nonparametric method and the Hubble parameter data is investigated as a strategy to reconstruct cosmographic functions. In addition, our results are quite general because they are not restricted to a specific type of functional dependency of the Hubble parameter. We investigate some advantages of using cosmographic functions instead of cosmographic series, since the former are general definitions free of approximations. In general, our results do not deviate significantly from

\Lambda CDM

. We determine a transition redshift

z_{tr}=0.637^{+0.165}_{-0.175}

and

H_{0}=69.45 \pm 4.34

. Also assuming priors for the Hubble constant, we obtain

z_{tr}=0.670^{+0 210}_{-0.120}

with

H_{0}=67.44

(Planck) and

z_{tr}=0.710^{+0.159}_{-0.111}

with

H_{0}=74.03

(SH0ES). Our main results are summarized in Table 2.

Note:

We add some text modifications, 19 pages, 8 figures

Cosmography function
Jerk
Snap
Gaussian processes

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