Relativistic model for anisotropic spheres in f([formula omitted]) gravity via Karmarkar condition

Abstract

Our present work is devoted to investigate the existence of a compact stellar configuration model in the framework of f(R,T) gravity theory, where R and T denote the Ricci scalar and trace of energy–momentum tensor, respectively. Here, we have developed a setup using a well-known Karmarkar condition and obtained a well-behaved embedding class-one solution with specific linear function f(R,T)=R+2χT, where χ is the coupling constant. We obtain a specific form of differential equation by using this condition that showed a connection between eλ and eν. With the viability of our stellar model, we have checked all the physical parameters such as density, pressure, speed of sound, TOV equation, redshift, etc. of compact stars like RX J1856-37,4U1538-52, SAX J1808.4-3658, EXO 1785-248, PSR J1903+327, and Vela X-1 which are conferred in tables and graphs. And the observation suggested, our solution for compact stars using Karmarkar condition in the background of f(R,T) has shown more consistency and the results are fair and appealing.