Exploring Gauss Bonnet gravity in the realm of Tolman–Kuchowicz spacetime
Abstract
This study reveals the implication of charge within the framework of f(G) gravity models by considering the Tolman–Kuchowicz space–time. The use of the Bardeen model to describe the fundamental characteristics of the external geometry is an important aspect of current findings. Moreover, for the qualitative analysis, we compare all the parameters involved in the selected metric potentials with Bardeen’s model. We apply this analysis to the stars PSR1903+327, PSR1937+21, PSRJ1614−2230, 4U608−52, VelaX−1, LMYX−4, CenX−3, HERX−1, SMXJ1808−3658 and 4U1820−30. We study all the necessary characteristics of stellar structures, such as energy density and pressure progression, equation of state parameters, equilibrium conditions, mass–radius ratio, adiabatic index, and energy conditions. A thorough graphical analysis is provided to establish the viability of the considered f(G) models. It is important to emphasize that our acquired solutions are physically acceptable.
