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.
