Relativistic configurations of Tolman Stellar structures in Gauss-Bonnet gravity

The purpose of this study is to discuss the charged stellar structure in the background of the f(𝒢) theory of gravity. The Einstein-Maxwell equations defined in the appearance of charge by utilizing the Tolman-Kuchowicz spacetime are described by spherically symmetric spacetime. To analyze the charged stellar structure, we use the matching conditions of spherically symmetric spacetime with the Reissner-Nordström exterior metric and develop some expressions for examining the energy density, radial pressure and tangential pressure, respectively. We address the energy conditions to verify our model’s viability for the SAX J1808.4-3658 star. Some other physical features, such as energy density, pressure components, anisotropic parameters, equation of state parameters, stability analysis, adiabatic index, Tolman-Oppenheimer-Volkoff equation, mass-radius relationship, compactness and redshift, have been investigated. We observe that our results are physically viable, free from geometrical and physical singularities, which provide circumstantial evidence for the existence of viable and stable compact star.