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Curvature dominance DE-model in
f
(
R
)
f(R)
f
(
R
)
-gravity
Authors
Harshna Balhara
G. K. Goswami
Rita Rani
J. K. Singh
Publication date
15 April 2022
Publisher
View
on
arXiv
Abstract
We have probed a cosmological model in
f
(
R
)
f(R)
f
(
R
)
-gravity, which is a cubic equation in scalar curvature
R
R
R
. The terms arise due to nonlinear
f
(
R
)
f(R)
f
(
R
)
function are treated as energy due to curvature inspired geometry. As a result, we find accelerating expansion in the universe, which creates an anti-gravitating negative pressure in it. Some of the physical parameters are solved using numerical methods. The evolution of the model are examined by the latest observational Hubble data (46-data points) and Pantheon data (the latest compilation of SNIa with 40 binned in the redshift range
0.014
⩽
z
⩽
1.62
0.014 \leqslant z \leqslant1.62
0.014
⩽
z
⩽
1.62
). Some important features of the model have been discussed by analyzing the plots of various dynamical parameters. The plots of deceleration parameter
q
q
q
and the Hubble parameter
H
H
H
describe the accelerating expansion in the evolution of the Universe at the present epoch. The transition from deceleration to acceleration for our model is obtained at redshift
z
t
r
≃
0.694069
z_{tr} \simeq 0.694069
z
t
r
​
≃
0.694069
, which is in good agreement with
Λ
\Lambda
Λ
CDM. We have also carried out state finder analysis for our model. The analysis of specific features of the model confirms that our model is consistent with
Λ
\Lambda
Λ
CDM in late times.Comment: 9 pages, 10 figure
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Last time updated on 04/07/2022