Constraining \(f(R)\) Gravity Models with The Late-Time Cosmological Evolution Ishfahani Rusyda, Romy Hanang Setya Budhi
Department of Physics, Universitas Gadjah Mada, Yogyakarta
Abstract
The \(f(R)\) modified gravity is a modification of general theory of relativity proposed by Einstein, which aims to explain issues beyond the standard model of cosmology such as dark energy and dark matter, which make up 68% and 27% of the energy density of the universe today, respectively. An \(f(R)\) model should be able to explain the transition from a matter-dominated universe to a dark-energy-dominated universe to be a viable model. Fixed-point analysis shows that this transition can be achieved if the \(f(R)\) model can connect the fixed point \(P_5\) (representing the matter-dominated era) to the fixed point \(P_1\) (representing the dark energy-dominated era). In this study, we analyze the viability of various \(f(R)\) models proposed by Starobinsky, Hu-Sawicki, Tsujikawa, and Gogoi-Goswami by evaluating the model parameters. From these results, it can be concluded that the \(f(R)\) models above have the range of parameters that allow such phase transition.
