Finch–Skea star model in f(R,T) theory of gravity

Abstract

This work discusses about the existence of compact star model in the context of [Formula: see text] gravity with [Formula: see text] as the Ricci scalar and [Formula: see text] as the trace of energy–momentum tensor [Formula: see text]. The model has been developed by considering the spherically symmetric spacetime consisting of isotropic fluid with [Formula: see text] with [Formula: see text] be the coupling parameter. The corresponding field equations are solved by choosing the well-known Finch–Skea ansatz [M. R. Finch and J. E. F. Skea, A realistic stellar model based on an ansatz of Duorah and Ray, Class. Quantum Gravity 6(4) (1989) 467–476]. For spacetime continuity, we elaborate the boundary conditions by considering the exterior region as Schwarzschild metric. The unknown constants appearing in the solution are evaluated for the compact star PSR J 1614-2230 for different values of coupling constant. The physical properties of the model, e.g. matter density, pressure, stability, etc. have been discussed both analytically and graphically. This analysis showed that the geometry and matter are compatible with each other as well as the model is in stable equilibrium in the context of [Formula: see text] modified gravity.