Investigating Anisotropic Spheres under f(R,T) Gravity in Karmarkar–Tolman Space-Time

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.