Abstract
The article probes exploration of the probable existence of relativistic compact celestial entities within a modified \(f(R,T)\) theory. We employ the Karmarkar and Tolman solutions along with two noteworthy and sustainable forms of \(f(R,T)\) gravity for an anisotropic distribution of matter. Within the solution of three relativistic compact star contenders, we opt for certain observational data to obtain the values of constants. We demonstrate a few physical characteristics of these relativistic compact celestial entities consisting of their formations, transverse and radial pressure, stability, anisotropy measure, energy density, EoS parameters and energy conditions.
