Modified Gravity Description of Neutron Star in the f(R) Framework

The present paper reports a study on neutron stars in the f(R) gravity framework for Hu–Sawicki model, Starobinsky Tsujikawa and Exponential Gravity model. First, we have used TOV equation framework, where obtained two higher order differential equations λ ψ, with both functions depending radial coordinate. Furthermore, considered BD theory, which is an equivalent theory of gravity, introduced new scalar field ϕ2 potential V(ϕ2). We observed increase respect to R each case. our proposed models, namely quadratic form, exponential linear form other viable models show similar type evolution