Author:
Bessa P.,Campista M.,Bernui A.
Abstract
AbstractThe unknown physical nature of the Dark Energy motivates in cosmology the study of modifications of the gravity theory at large distances. One of these types of modifications is to consider gravity theories, generally termed as f(R). In this paper we use observational data to both constrain and test the Starobinsky f(R) model (Starobinsky in JETP Lett 86(3):157–163, 2007), using updated measurements from the dynamics of the expansion of the universe, H(z); and the growth rate of cosmic structures, $$[f\sigma _8](z)$$
[
f
σ
8
]
(
z
)
, where the distinction between the concordance $$\varLambda $$
Λ
CDM model and modified gravity models f(R) becomes clearer. We use MCMC likelihood analyses to explore the parameters space of the f(R) model using H(z) and $$[f\sigma _8](z)$$
[
f
σ
8
]
(
z
)
data, both individually and jointly, and further, examine which of the models best fits the joint data. To further test the Starobinsky model, we use a method proposed by Linder (Astropart Phys 86:41–45, 2017), where the data from the observables is jointly binned in redshift space. This allows one to further explore the model’s parameter that better fits the data in comparison to the $$\varLambda $$
Λ
CDM model. The joint analysis of H(z) and $$[f\sigma _8](z)$$
[
f
σ
8
]
(
z
)
show that the $$n=2$$
n
=
2
–Starobinsky f(R) model fits well the observational data. In the end, we confirm that this joint analysis is able to break the degenerescence between modified gravity models as proposed in the original work (Starobinsky 2007). Our results indicate that the f(R) Starobinsky model provides a good fit to the currently available data for a set of values of its parameters, being, therefore, a possible alternative to the $$\varLambda $$
Λ
CDM model.
Funder
FundaçÃo Estadual de Amparo à Pesquisa do Estado do Espírito Santo
Ministério da Ciência, Tecnologia e Inovação
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
Reference73 articles.
1. A.A. Starobinsky, Disappearing cosmological constant in f(r) gravity. JETP Lett. 86(3), 157–163 (2007)
2. E.V. Linder, Cosmic growth and expansion conjoined. Astropart. Phys. 86, 41–45 (2017)
3. P.A.R. Ade et al., Planck 2015 results. XIV. Dark energy and modified gravity 594, A14 (2016)
4. N. Aghanim et al. Planck 2018 results. VI. Cosmological parameters. Astron. Astrophys. 641, A6 (2020) [Erratum: Astron. Astrophys. 652, C4 (2021)]
5. L. Kazantzidis, L. Perivolaropoulos, Evolution of the $$f _8$$ tension with the Planck15/$$\Lambda $$CDM determination and implications for modified gravity theories. Phys. Rev. D 97(10), 103503 (2018)
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