http://arxiv.org/abs/2212.11487
We investigate the cosmic evolutions in the extended Starobinsky model (eSM) obtained by adding one R ab R ab term to the Starobinsky model. We discuss the possibility of various forms of cosmic evolution with a special focus on the radiation-dominated era (RDE). Using simple assumptions, a second-order non-linear differential equation describing the various cosmic evolutions in the eSM is introduced. By solving this non-linear equation numerically, we show that various forms of cosmic evolution, such as the standard cosmic evolution ($a \propto t^{1/2}$) and a unique oscillating cosmic evolution, are feasible due to the effects of higher-order terms introduced beyond Einstein gravity. Furthermore, we consider big bang nucleosynthesis (BBN), which is the most important observational results in the RDE, to constrain the free parameters of the eSM. The primordial abundances of the light elements, such as $^4$He, D, $^3$He, $^7$Li and $^6$Li by the cosmic evolutions are compared with the most recent observation data. It turns out that most cases of non-standard cosmic evolutions can not easily satisfy these BBN constraints, but a free parameter of the viable models with the oscillating cosmic evolution is shown to have an upper limit by the constraints. In particular, we find that the free parameter is most sensitive to deuterium and $^4$He abundances, which are being precisely measured among other elements. Therefore, more accurate measurements in the near future may enable us to distinguish the eSM from the standard model as well as other models.
J. Park, C. Yun, M. Cheoun, et. al.
Fri, 23 Dec 22
23/58
Comments: N/A