Some interior models of compact stars in f(R) gravity

This paper deals with the interior models of compact stars in the framework of modified f(R) theory of gravity, which is the generalization of the Einstein's gravity. In order to complete the study, we have involved solution of Krori and Barua to the static spacetime with fluid source in modified f (R) theory of gravity. Further, we have matched the interior solution with the exterior solution to determine the constants of Krori and Barua solution. Finally, the constants have been formulated by using the observational data of various compact stars like 4U1820-30, Her X-1, SAX J1808-3658. Using the evaluated form of the solutions, we have discussed the regularity of matter components at the center as well as on the boundary, energy conditions, anisotropy, stability analysis and mass-radius relation of the compact stars 4U1820-30, Her X-1, SAX J1808-3658.