Comparison between Lamb DACDM and F(R) Gravity Model

Abstract

This paper conducts a comparative analysis of the standard Lambda Cold Dark Mat ter ( CDM) model and the f(R) gravity model to probe their explanatory power for cosmological phenomena such as the universe’s accelerated expansion. The CDM model, which incorporates a cosmological constant ( ) and cold dark matter, aligns well with multiple observations, including those regarding the cosmic microwave background and large-scale structure. However, it encounters challenges like the small-scale crisis and the Hubble Constant tension. Conversely, the f(R) gravity modelsuggestsamodificationtogeneralrelativity thateliminates the needforacos mological constant. Despite its potential in addressing certain CDM shortcomings, the f(R) model grapples with its own set of conceptual and theoretical difficulties, suchasdeterminingtheformofthefunctionoftheRicciscalarandensuringcompat ibility with quantum theory. Our comparative study offers insights into the strengths and limitations of both models, highlighting the need for more research to elucidate the universe’s evolution and underlying gravitational framework.