Anisotropic fluid spheres admitting Karmarkar condition in [formula omitted] gravity

Abstract

This study deals with the construction of compact stars in f(G,T) gravity, where T and G represent the trace of energy momentum tensor and Gauss-Bonnet term respectively. We consider spherically symmetric space-time with anisotropic fluid distribution. In particular, the Karmarkar condition to embed the spherically symmetric space-time into class-1 metric is used to explore the compact stars solutions. Further, we choose two specific sets of observational data, like LMC X-4 (mass =1.29M/M⊙ & radii=9.711 km), and EXO 1785-248 (mass =1.30M/M⊙ & radii=8.849 km). The paper can be divided mainly in two parts. Firstly, we construct the modified filed equations for f(G,T) gravity by imposing the Karmarkar condition. By matching the exterior Schwarzschild spacetime with interior space-time metric at the boundary and taking the values of radii and masses of LMC X-4 and EXO 1785-248, we have calculated the different values of the parameter K. We provide a detail graphical analysis of the physical acceptability of important features, i.e., energy density, pressure, anisotropy, and gradients. We have also shown the stability of the stellar structures by employing the energy conditions, equation of state, generalized TOV equation, causality condition, and adiabatic index. For current analysis, we estimate some numerical values in tabular form for central density, central gravitational metric functions and central pressures components. We have also calculated the ratio prc/ρc=ptc/ρc, which has satisfied the Zeldovich’s condition. Conclusively, obtained results suggest that f(G,T) gravity supports anisotropic fluid spheres in the background of Karmarkar condition.