2019/03/12 by Shibendu Gupta Choudhury, Ananda Dasgupta, Narayan Banerjee · 1 citation
Physics and Astronomy · #gr-qc #astro-ph.CO
paper · pdf · doi:10.1093/mnras/stz731
published as Monthly Notices of the Royal Astronomical Society, Volume 485, Issue 4, June 2019, Page 5693 · 8 pages, 7 figures, to appear in MNRAS
arxiv created 2019/03/12 · arxiv updated 2019/04/09
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 ΛCDM 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.