Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction of $f(R)$ gravity models for an accelerated universe
  using Raychaudhuri equation   A new strategy for the reconstruction of $f(R)$ gravity models have been
attempted using Raychaudhuri equation. Two examples, one for an eternally
accelerating universe and the other for one that mimics a ${\Lambda}$CDM
expansion history have been worked out. For both the cases, the relevant
$f=f(R)$ could be found out analytically. In the first case, $f(R)$ is found to
be a combination of power-law terms and in the expression for the second case
involves hypergeometric functions. The evolution history of the universe, given
as specific values of the kinematical quantities like the jerk or the
deceleration parameter, serve as the input. It is found that the corresponding
$f(R)$ gravity models, in both the examples, are not viable options.

12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess